,a ,,history ,,of ,,science ,,by ,,henry ,,smith ,,williams1 ,m4,d41 ,,ll4,d4 ,,assisted ,,by ,,edward ,h4 ,,williams1 ,m4,d4 ,,in ,,five ,,volumes ,,volume ,,ii4 ,,contents ,,book ,,ii ,,chapter ,i4 ,,science ,,in ,,the ,,dark ,,age ,,chapter ,,ii4 ,,mediaeval ,,science ,,among ,,the ,,arabians ,,chapter ,,iii4 ,,mediaeval ,,science ,,in ,,the ,,west ,,chapter ,,iv4 ,,the ,,new ,,cosmology--,,copernicus ,,to ,,kepler ,,and ,,galileo ,,chapter ,v4 ,,galileo ,,and ,,the ,,new ,,physics ,,chapter ,,vi4 ,,two ,,pseudo-,,sciences--,,alchemy ,,and ,,astrology ,,chapter ,,vii4 ,,from ,,paracelsus ,,to ,,harvey ,,chapter ,,viii4 ,,medicine ,,in ,,the ,,sixteenth ,,and ,,seventeenth ,,centuries ,,chapter ,,ix4 ,,philosopher-,,scientists ,,and ,,new ,,institutions ,,of ,,learning ,,chapter ,x4 ,,the ,,successors ,,of ,,galileo ,,in ,,physical ,,science ,,chapter ,,xi4 ,,newton ,,and ,,the ,,composition ,,of ,,light ,,chapter ,,xii4 ,,newton ,,and ,,the ,,law ,,of ,,gravitation ,,chapter ,,xiii4 ,,instruments ,,of ,,precision ,,in ,,the ,,age ,,of ,,newton ,,chapter ,,xiv4 ,,progress ,,in ,,electricity ,,from ,,gilbert ,,and ,,von ,,guericke ,,to ,,franklin ,,chapter ,,xv4 ,,natural ,,history ,,to ,,the ,,time ,,of ,,linnaeus ,,appendix ,a ,,history ,,of ,,science ,,book ,,ii4 ,,the ,,beginnings ,,of ,,modern ,,science ,the studies of the present book cover the progress of science from the close of the ,roman period in the fifth century ,a4,d4 to about the middle of the eighteenth century4 ,in tracing the course of events through so long a period1 a difficulty becomes prominent which everywhere besets the historian in less degree--a difficulty due to the conflict between the strictly chronological and the topical method of treatment4 ,we must hold as closely as possible to the actual sequence of events1 since1 as already pointed out1 one discovery leads on to another4 ,but1 on the other hand1 progressive steps are taken contemporaneously in the various fields of science1 and if we were to attempt to introduce these in strict chronological order we should lose all sense of topical continuity4 ,our method has been to adopt a compromise1 following the course of a single science in each great epoch to a convenient stopping-point1 and then turning back to bring forward the story of another science4 ,thus1 for example1 we tell the story of ,copernicus and ,galileo1 bringing the record of cosmical and mechanical progress down to about the middle of the seventeenth century1 before turning back to take up the physiological progress of the fifteenth and sixteenth centuries4 ,once the latter stream is entered1 however1 we follow it without interruption to the time of ,harvey and his contemporaries in the middle of the seventeenth century1 where we leave it to return to the field of mechanics as exploited by the successors of ,galileo1 who were also the predecessors and contemporaries of ,newton4 ,in general1 it will aid the reader to recall that1 so far as possible1 we hold always to the same sequences of topical treatment of contemporary events2 as a rule we treat first the cosmical1 then the physical1 then the biological sciences4 ,the same order of treatment will be held to in succeeding volumes4 ,several of the very greatest of scientific generalizations are developed in the period covered by the present book3 for example1 the ,copernican theory of the solar system1 the true doctrine of planetary motions1 the laws of motion1 the theory of the circulation of the blood1 and the ,newtonian theory of gravitation4 ,the labors of the investigators of the early decades of the eighteenth century1 terminating with ,franklin's discovery of the nature of lightning and with the ,linnaean classification of plants and animals1 bring us to the close of our second great epoch2 or1 to put it otherwise1 to the threshold of the modern period4 ,i4 ,,science ,,in ,,the ,,dark ,,age ,an obvious distinction between the classical and mediaeval epochs may be found in the fact that the former produced1 whereas the latter failed to produce1 a few great thinkers in each generation who were imbued with that scepticism which is the foundation of the investigating spirit2 who thought for themselves and supplied more or less rational explanations of observed phenomena4 ,could we eliminate the work of some score or so of classical observers and thinkers1 the classical epoch would seem as much a dark age as does the epoch that succeeded it4 ,but immediately we are met with the question3 ,why do no great original investigators appear during all these later centuries8 ,we have already offered a part explanation in the fact that the borders of civilization1 where racial mingling naturally took place1 were peopled with semi-barbarians4 ,but we must not forget that in the centres of civilization all along there were many men of powerful intellect4 ,indeed1 it would violate the principle of historical continuity to suppose that there was any sudden change in the level of mentality of the ,roman world at the close of the classical period4 ,we must assume1 then1 that the direction in which the great minds turned was for some reason changed4 ,newton is said to have alleged that he made his discoveries by intending his mind in a certain direction continuously4 ,it is probable that the same explanation may be given of almost every great scientific discovery4 ,anaxagoras could not have thought out the theory of the moon's phases2 ,aristarchus could not have found out the true mechanism of the solar system2 ,eratosthenes could not have developed his plan for measuring the earth1 had not each of these investigators intended his mind persistently towards the problems in question4 ,nor can we doubt that men lived in every generation of the dark age who were capable of creative thought in the field of science1 bad they chosen similarly to intend their minds in the right direction4 ,the difficulty was that they did not so choose4 ,their minds had a quite different bent4 ,they were under the spell of different ideals2 all their mental efforts were directed into different channels4 ,what these different channels were cannot be in doubt--they were the channels of oriental ecclesiasticism4 ,one all-significant fact speaks volumes here4 ,it is the fact that1 as ,professor ,robinson7#a7 points out1 from the time of ,boethius 7died #ebd or #ebe ,a4,d47 to that of ,dante 7#abfe-acba ,a4,d47 there was not a single writer of renown in western ,europe who was not a professional churchman4 ,all the learning of the time1 then1 centred in the priesthood4 ,we know that the same condition of things pertained in ,egypt1 when science became static there4 ,but1 contrariwise1 we have seen that in ,greece and early ,rome the scientific workers were largely physicians or professional teachers2 there was scarcely a professional theologian among them4 ,similarly1 as we shall see in the ,arabic world1 where alone there was progress in the mediaeval epoch1 the learned men were1 for the most part1 physicians4 ,now the meaning of this must be self-evident4 ,the physician naturally intends his mind towards the practicalities4 ,his professional studies tend to make him an investigator of the operations of nature4 ,he is usually a sceptic1 with a spontaneous interest in practical science4 ,but the theologian intends his mind away from practicalities and towards mysticism4 ,he is a professional believer in the supernatural2 he discounts the value of merely natural phenomena4 ,his whole attitude of mind is unscientific2 the fundamental tenets of his faith are based on alleged occurrences which inductive science cannot admit--namely1 miracles4 ,and so the minds intended towards the supernatural achieved only the hazy mysticism of mediaeval thought4 ,instead of investigating natural laws1 they paid heed 7as1 for example1 ,thomas ,aquinas does in his ,summa ,theologia7 to the acts of angels1 the speaking of angels1 the subordination of angels1 the deeds of guardian angels1 and the like4 ,they disputed such important questions as1 ,how many angels can stand upon the point of a needle8 ,they argued pro and con as to whether ,christ were coeval with ,god1 or whether he had been merely created in the beginning1 perhaps ages before the creation of the world4 ,how could it be expected that science should flourish when the greatest minds of the age could concern themselves with problems such as these8 ,despite our preconceptions or prejudices1 there can be but one answer to that question4 ,oriental superstition cast its blight upon the fair field of science1 whatever compensation it may or may not have brought in other fields4 ,but we must be on our guard lest we overestimate or incorrectly estimate this influence4 ,posterity1 in glancing backward1 is always prone to stamp any given age of the past with one idea1 and to desire to characterize it with a single phrase2 whereas in reality all ages are diversified1 and any generalization regarding an epoch is sure to do that epoch something less or something more than justice4 ,we may be sure1 then1 that the ideal of ecclesiasticism is not solely responsible for the scientific stasis of the dark age4 ,indeed1 there was another influence of a totally different character that is too patent to be overlooked--the influence1 namely1 of the economic condition of western ,europe during this period4 ,as ,i have elsewhere pointed out17#b7 ,italy1 the centre of western civilization1 was at this time impoverished1 and hence could not provide the monetary stimulus so essential to artistic and scientific no less than to material progress4 ,there were no patrons of science and literature such as the ,ptolemies of that elder ,alexandrian day4 ,there were no great libraries2 no colleges to supply opportunities and afford stimuli to the rising generation4 ,worst of all1 it became increasingly difficult to secure books4 ,this phase of the subject is often overlooked4 ,yet a moment's consideration will show its importance4 ,how should we fare to-day if no new scientific books were being produced1 and if the records of former generations were destroyed8 ,that is what actually happened in ,europe during the ,middle ,ages4 ,at an earlier day books were made and distributed much more abundantly than is sometimes supposed4 ,bookmaking had1 indeed1 been an important profession in ,rome1 the actual makers of books being slaves who worked under the direction of a publisher4 ,it was through the efforts of these workers that the classical works in ,greek and ,latin were multiplied and disseminated4 ,unfortunately the climate of ,europe does not conduce to the indefinite preservation of a book2 hence very few remnants of classical works have come down to us in the original from a remote period4 ,the rare exceptions are certain papyrus fragments1 found in ,egypt1 some of which are ,greek manuscripts dating from the third century ,b4,c4 ,even from these sources the output is meagre2 and the only other repository of classical books is a single room in the buried city of ,herculaneum1 which contained several hundred manuscripts1 mostly in a charred condition1 a considerable number of which1 however1 have been unrolled and found more or less legible4 ,this library in the buried city was chiefly made up of philosophical works1 some of which were quite unknown to the modern world until discovered there4 ,but this find1 interesting as it was from an archaeological stand-point1 had no very important bearing on our knowledge of the literature of antiquity4 ,our chief dependence for our knowledge of that literature must still be placed in such copies of books as were made in the successive generations4 ,comparatively few of the extant manuscripts are older than the tenth century of our era4 ,it requires but a momentary consideration of the conditions under which ancient books were produced to realize how slow and difficult the process was before the invention of printing4 ,the taste of the book-buying public demanded a clearly written text1 and in the ,middle ,ages it became customary to produce a richly ornamented text as well4 ,the script employed being the prototype of the modern printed text1 it will be obvious that a scribe could produce but a few pages at best in a day4 ,a large work would therefore require the labor of a scribe for many months or even for several years4 ,we may assume1 then1 that it would be a very flourishing publisher who could produce a hundred volumes all told per annum2 and probably there were not many publishers at any given time1 even in the period of ,rome's greatest glory1 who had anything like this output4 ,as there was a large number of authors in every generation of the classical period1 it follows that most of these authors must have been obliged to content themselves with editions numbering very few copies2 and it goes without saying that the greater number of books were never reproduced in what might be called a second edition4 ,even books that retained their popularity for several generations would presently fail to arouse sufficient interest to be copied2 and in due course such works would pass out of existence altogether4 ,doubtless many hundreds of books were thus lost before the close of the classical period1 the names of their authors being quite forgotten1 or preserved only through a chance reference2 and of course the work of elimination went on much more rapidly during the ,middle ,ages1 when the interest in classical literature sank to so low an ebb in the ,west4 ,such collections of references and quotations as the ,greek ,anthology and the famous anthologies of ,stobaeus and ,athanasius and ,eusebius give us glimpses of a host of writers--more than seven hundred are quoted by ,stobaeus--a very large proportion of whom are quite unknown except through these brief excerpts from their lost works4 ,quite naturally the scientific works suffered at least as largely as any others in an age given over to ecclesiastical dreamings4 ,yet in some regards there is matter for surprise as to the works preserved4 ,thus1 as we have seen1 the very extensive works of ,aristotle on natural history1 and the equally extensive natural history of ,pliny1 which were preserved throughout this period1 and are still extant1 make up relatively bulky volumes4 ,these works seem to have interested the monks of the ,middle ,ages1 while many much more important scientific books were allowed to perish4 ,a considerable bulk of scientific literature was also preserved through the curious channels of ,arabic and ,armenian translations4 ,reference has already been made to the ,almagest of ,ptolemy1 which1 as we have seen1 was translated into ,arabic1 and which was at a later day brought by the ,arabs into western ,europe and 7at the instance of ,frederick ,,ii of ,sicily7 translated out of their language into mediaeval ,latin4 ,it remains to inquire1 however1 through what channels the ,greek works reached the ,arabs themselves4 ,to gain an answer to this question we must follow the stream of history from its ,roman course eastward to the new seat of the ,roman empire in ,byzantium4 ,here civilization centred from about the fifth century ,a4,d41 and here the ,european came in contact with the civilization of the ,syrians1 the ,persians1 the ,armenians1 and finally of the ,arabs4 ,the ,byzantines themselves1 unlike the inhabitants of western ,europe1 did not ignore the literature of old ,greece2 the ,greek language became the regular speech of the ,byzantine people1 and their writers made a strenuous effort to perpetuate the idiom and style of the classical period4 ,naturally they also made transcriptions of the classical authors1 and thus a great mass of literature was preserved1 while the corresponding works were quite forgotten in western ,europe4 ,meantime many of these works were translated into ,syriac1 ,armenian1 and ,persian1 and when later on the ,byzantine civilization degenerated1 many works that were no longer to be had in the ,greek originals continued to be widely circulated in ,syriac1 ,persian1 ,armenian1 and1 ultimately1 in ,arabic translations4 ,when the ,arabs started out in their conquests1 which carried them through ,egypt and along the southern coast of the ,mediterranean1 until they finally invaded ,europe from the west by way of ,gibraltar1 they carried with them their translations of many a ,greek classical author1 who was introduced anew to the western world through this strange channel4 ,we are told1 for example1 that ,averrhoes1 the famous commentator of ,aristotle1 who lived in ,spain in the twelfth century1 did not know a word of ,greek and was obliged to gain his knowledge of the master through a ,syriac translation2 or1 as others alleged 7denying that he knew even ,syriac71 through an ,arabic version translated from the ,syriac4 ,we know1 too1 that the famous chronology of ,eusebius was preserved through an ,armenian translation2 and reference has more than once been made to the ,arabic translation of ,ptolemy's great work1 to which we still apply its ,arabic title of ,almagest4 ,the familiar story that when the ,arabs invaded ,egypt they burned the ,alexandrian library is now regarded as an invention of later times4 ,it seems much more probable that the library bad been largely scattered before the coming of the ,moslems4 ,indeed1 it has even been suggested that the ,christians of an earlier day removed the records of pagan thought4 ,be that as it may1 the famous ,alexandrian library had disappeared long before the revival of interest in classical learning4 ,meanwhile1 as we have said1 the ,arabs1 far from destroying the western literature1 were its chief preservers4 ,partly at least because of their regard for the records of the creative work of earlier generations of alien peoples1 the ,arabs were enabled to outstrip their contemporaries4 ,for it cannot be in doubt that1 during that long stretch of time when the western world was ignoring science altogether or at most contenting itself with the casual reading of ,aristotle and ,pliny1 the ,arabs had the unique distinction of attempting original investigations in science4 ,to them were due all important progressive steps which were made in any scientific field whatever for about a thousand years after the time of ,ptolemy and ,galen4 ,the progress made even by the ,arabs during this long period seems meagre enough1 yet it has some significant features4 ,these will now demand our attention4 ,,ii4 ,,mediaeval ,,science ,,among ,,the ,,arabians ,the successors of ,mohammed showed themselves curiously receptive of the ideas of the western people whom they conquered4 ,they came in contact with the ,greeks in western ,asia and in ,egypt1 and1 as has been said1 became their virtual successors in carrying forward the torch of learning4 ,it must not be inferred1 however1 that the ,arabian scholars1 as a class1 were comparable to their predecessors in creative genius4 ,on the contrary1 they retained much of the conservative oriental spirit4 ,they were under the spell of tradition1 and1 in the main1 what they accepted from the ,greeks they regarded as almost final in its teaching4 ,there were1 however1 a few notable exceptions among their men of science1 and to these must be ascribed several discoveries of some importance4 ,the chief subjects that excited the interest and exercised the ingenuity of the ,arabian scholars were astronomy1 mathematics1 and medicine4 ,the practical phases of all these subjects were given particular attention4 ,thus it is well known that our so-called ,arabian numerals date from this period4 ,the revolutionary effect of these characters1 as applied to practical mathematics1 can hardly be overestimated2 but it is generally considered1 and in fact was admitted by the ,arabs themselves1 that these numerals were really borrowed from the ,hindoos1 with whom the ,arabs came in contact on the east4 ,certain of the ,hindoo alphabets1 notably that of the ,battaks of ,sumatra1 give us clews to the originals of the numerals4 ,it does not seem certain1 however1 that the ,hindoos employed these characters according to the decimal system1 which is the prime element of their importance4 ,knowledge is not forthcoming as to just when or by whom such application was made4 ,if this was an ,arabic innovation1 it was perhaps the most important one with which that nation is to be credited4 ,another mathematical improvement was the introduction into trigonometry of the sine--the half-chord of the double arc--instead of the chord of the arc itself which the ,greek astronomers had employed4 ,this improvement was due to the famous ,albategnius1 whose work in other fields we shall examine in a moment4 ,another evidence of practicality was shown in the ,arabian method of attempting to advance upon ,eratosthenes' measurement of the earth4 ,instead of trusting to the measurement of angles1 the ,arabs decided to measure directly a degree of the earth's surface--or rather two degrees4 ,selecting a level plain in ,mesopotamia for the experiment1 one party of the surveyors progressed northward1 another party southward1 from a given point to the distance of one degree of arc1 as determined by astronomical observations4 ,the result found was fifty-six miles for the northern degree1 and fifty-six and two-third miles for the southern4 ,unfortunately1 we do not know the precise length of the mile in question1 and therefore cannot be assured as to the accuracy of the measurement4 ,it is interesting to note1 however1 that the two degrees were found of unequal lengths1 suggesting that the earth is not a perfect sphere--a suggestion the validity of which was not to be put to the test of conclusive measurements until about the close of the eighteenth century4 ,the ,arab measurement was made in the time of ,caliph ,abdallah al-,mamun1 the son of the famous ,harun-al-,rashid4 ,both father and son were famous for their interest in science4 ,harun-al-,rashid was1 it will be recalled1 the friend of ,charlemagne4 ,it is said that he sent that ruler1 as a token of friendship1 a marvellous clock which let fall a metal ball to mark the hours4 ,this mechanism1 which is alleged to have excited great wonder in the ,west1 furnishes yet another instance of ,arabian practicality4 ,perhaps the greatest of the ,arabian astronomers was ,mohammed ben ,jabir ,albategnius1 or ,el-batani1 who was born at ,batan1 in ,mesopotamia1 about the year #hej ,a4,d41 and died in #ibi4 ,albategnius was a student of the ,ptolemaic astronomy1 but he was also a practical observer4 ,he made the important discovery of the motion of the solar apogee4 ,that is to say1 he found that the position of the sun among the stars1 at the time of its greatest distance from the earth1 was not what it had been in the time of ,ptolemy4 ,the ,greek astronomer placed the sun in longitude #fe degrees1 but ,albategnius found it in longitude #hb degrees1 a distance too great to be accounted for by inaccuracy of measurement4 ,the modern inference from this observation is that the solar system is moving through space2 but of course this inference could not well be drawn while the earth was regarded as the fixed centre of the universe4 ,in the eleventh century another ,arabian discoverer1 ,arzachel1 observing the sun to be less advanced than ,albategnius had found it1 inferred incorrectly that the sun had receded in the mean time4 ,the modern explanation of this observation is that the measurement of ,albategnius was somewhat in error1 since we know that the sun's motion is steadily progressive4 ,arzachel1 however1 accepting the measurement of his predecessor1 drew the false inference of an oscillatory motion of the stars1 the idea of the motion of the solar system not being permissible4 ,this assumed phenomenon1 which really has no existence in point of fact1 was named the trepidation of the fixed stars1 and was for centuries accepted as an actual phenomenon4 ,arzachel explained this supposed phenomenon by assuming that the equinoctial points1 or the points of intersection of the equator and the ecliptic1 revolve in circles of eight degrees' radius4 ,the first points of ,aries and ,libra were supposed to describe the circumference of these circles in about eight hundred years4 ,all of which illustrates how a difficult and false explanation may take the place of a simple and correct one4 ,the observations of later generations have shown conclusively that the sun's shift of position is regularly progressive1 hence that there is no trepidation of the stars and no revolution of the equinoctial points4 ,if the ,arabs were wrong as regards this supposed motion of the fixed stars1 they made at least one correct observation as to the inequality of motion of the moon4 ,two inequalities of the motion of this body were already known4 ,a third1 called the moon's variation1 was discovered by an ,arabian astronomer who lived at ,cairo and observed at ,bagdad in #ige1 and who bore the formidable name of ,mohammed ,aboul ,wefaal-,bouzdjani4 ,the inequality of motion in question1 in virtue of which the moon moves quickest when she is at new or full1 and slowest at the first and third quarter1 was rediscovered by ,tycho ,brahe six centuries later2 a fact which in itself evidences the neglect of the ,arabian astronomer's discovery by his immediate successors4 ,in the ninth and tenth centuries the ,arabian city of ,cordova1 in ,spain1 was another important centre of scientific influence4 ,there was a library of several hundred thousand volumes here1 and a college where mathematics and astronomy were taught4 ,granada1 ,toledo1 and ,salamanca were also important centres1 to which students flocked from western ,europe4 ,it was the proximity of these ,arabian centres that stimulated the scientific interests of ,alfonso ,x4 of ,castile1 at whose instance the celebrated ,alfonsine tables were constructed4 ,a familiar story records that ,alfonso1 pondering the complications of the ,ptolemaic cycles and epicycles1 was led to remark that1 had he been consulted at the time of creation1 he could have suggested a much better and simpler plan for the universe4 ,some centuries were to elapse before ,copernicus was to show that it was not the plan of the universe1 but man's interpretation of it1 that was at fault4 ,another royal personage who came under ,arabian influence was ,frederick ,,ii4 of ,sicily--the ,wonder of the ,world1 as he was called by his contemporaries4 ,the ,almagest of ,ptolemy was translated into ,latin at his instance1 being introduced to the ,western world through this curious channel4 ,at this time it became quite usual for the ,italian and ,spanish scholars to understand ,arabic although they were totally ignorant of ,greek4 ,in the field of physical science one of the most important of the ,arabian scientists was ,alhazen4 ,his work1 published about the year #aajj ,a4,d41 had great celebrity throughout the mediaeval period4 ,the original investigations of ,alhazen had to do largely with optics4 ,he made particular studies of the eye itself1 and the names given by him to various parts of the eye1 as the vitreous humor1 the cornea1 and the retina1 are still retained by anatomists4 ,it is known that ,ptolemy had studied the refraction of light1 and that he1 in common with his immediate predecessors1 was aware that atmospheric refraction affects the apparent position of stars near the horizon4 ,alhazen carried forward these studies1 and was led through them to make the first recorded scientific estimate of the phenomena of twilight and of the height of the atmosphere4 ,the persistence of a glow in the atmosphere after the sun has disappeared beneath the horizon is so familiar a phenomenon that the ancient philosophers seem not to have thought of it as requiring an explanation4 ,yet a moment's consideration makes it clear that1 if light travels in straight lines and the rays of the sun were in no wise deflected1 the complete darkness of night should instantly succeed to day when the sun passes below the horizon4 ,that this sudden change does not occur1 ,alhazen explained as due to the reflection of light by the earth's atmosphere4 ,alhazen appears to have conceived the atmosphere as a sharply defined layer1 and1 assuming that twilight continues only so long as rays of the sun reflected from the outer surface of this layer can reach the spectator at any given point1 he hit upon a means of measurement that seemed to solve the hitherto inscrutable problem as to the atmospheric depth4 ,like the measurements of ,aristarchus and ,eratosthenes1 this calculation of ,alhazen is simple enough in theory4 ,its defect consists largely in the difficulty of fixing its terms with precision1 combined with the further fact that the rays of the sun1 in taking the slanting course through the earth's atmosphere1 are really deflected from a straight line in virtue of the constantly increasing density of the air near the earth's surface4 ,alhazen must have been aware of this latter fact1 since it was known to the later ,alexandrian astronomers1 but he takes no account of it in the present measurement4 ,the diagram will make the method of ,alhazen clear4 ,his important premises are two3 first1 the well-recognized fact that1 when light is reflected from any surface1 the angle of incidence is equal to the angle of reflection2 and1 second1 the much more doubtful observation that twilight continues until such time as the sun1 according to a simple calculation1 is nineteen degrees below the horizon4 ,referring to the diagram1 let the inner circle represent the earth's surface1 the outer circle the limits of the atmosphere1 ,c being the earth's centre1 and ,,rr radii of the earth4 ,then the observer at the point ,a will continue to receive the reflected rays of the sun until that body reaches the point ,s1 which is1 according to the hypothesis1 nineteen degrees below the horizon line of the observer at ,a4 ,this horizon line1 being represented by ,,ah1 and the sun's ray by ,,sm1 the angle ,,hms is an angle of nineteen degrees4 ,the complementary angle ,,sma is1 obviously1 an angle of 7#ahj-ai7 one hundred and sixty-one degrees4 ,but since ,m is the reflecting surface and the angle of incidence equals the angle of reflection1 the angle ,,amc is an angle of one-half of one hundred and sixty-one degrees1 or eighty degrees and thirty minutes4 ,now this angle ,,amc1 being known1 the right-angled triangle ,,mac is easily resolved1 since the side ,,ac of that triangle1 being the radius of the earth1 is a known dimension4 ,resolution of this triangle gives us the length of the hypotenuse ,,mc1 and the difference between this and the radius 7,,ac71 or ,,cd1 is obviously the height of the atmosphere 7h71 which was the measurement desired4 ,according to the calculation of ,alhazen1 this h1 or the height of the atmosphere1 represents from twenty to thirty miles4 ,the modern computation extends this to about fifty miles4 ,but1 considering the various ambiguities that necessarily attended the experiment1 the result was a remarkably close approximation to the truth4 ,turning from physics to chemistry1 we find as perhaps the greatest ,arabian name that of ,geber1 who taught in the ,college of ,seville in the first half of the eighth century4 ,the most important researches of this really remarkable experimenter had to do with the acids4 ,the ancient world had had no knowledge of any acid more powerful than acetic4 ,geber1 however1 vastly increased the possibilities of chemical experiment by the discovery of sulphuric1 nitric1 and nitromuriatic acids4 ,he made use also of the processes of sublimation and filtration1 and his works describe the water bath and the chemical oven4 ,among the important chemicals which he first differentiated is oxide of mercury1 and his studies of sulphur in its various compounds have peculiar interest4 ,in particular is this true of his observation that1 tinder certain conditions of oxidation1 the weight of a metal was lessened4 ,from the record of these studies in the fields of astronomy1 physics1 and chemistry1 we turn to a somewhat extended survey of the ,arabian advances in the field of medicine4 ,,arabian ,,medicine ,the influence of ,arabian physicians rested chiefly upon their use of drugs rather than upon anatomical knowledge4 ,like the mediaeval ,christians1 they looked with horror on dissection of the human body2 yet there were always among them investigators who turned constantly to nature herself for hidden truths1 and were ready to uphold the superiority of actual observation to mere reading4 ,thus the physician ,abd el-,letif1 while in ,egypt1 made careful studies of a mound of bones containing more than twenty thousand skeletons4 ,while examining these bones he discovered that the lower jaw consists of a single bone1 not of two1 as had been taught by ,galen4 ,he also discovered several other important mistakes in ,galenic anatomy1 and was so impressed with his discoveries that he contemplated writing a work on anatomy which should correct the great classical authority's mistakes4 ,it was the ,arabs who invented the apothecary1 and their pharmacopoeia1 issued from the hospital at ,gondisapor1 and elaborated from time to time1 formed the basis for ,western pharmacopoeias4 ,just how many drugs originated with them1 and how many were borrowed from the ,hindoos1 ,jews1 ,syrians1 and ,persians1 cannot be determined4 ,it is certain1 however1 that through them various new and useful drugs1 such as senna1 aconite1 rhubarb1 camphor1 and mercury1 were handed down through the ,middle ,ages1 and that they are responsible for the introduction of alcohol in the field of therapeutics4 ,in mediaeval ,europe1 ,arabian science came to be regarded with superstitious awe1 and the works of certain ,arabian physicians were exalted to a position above all the ancient writers4 ,in modern times1 however1 there has been a reaction and a tendency to depreciation of their work4 ,by some they are held to be mere copyists or translators of ,greek books1 and in no sense original investigators in medicine4 ,yet there can be little doubt that while the ,arabians did copy and translate freely1 they also originated and added considerably to medical knowledge4 ,it is certain that in the time when ,christian monarchs in western ,europe were paying little attention to science or education1 the caliphs and vizirs were encouraging physicians and philosophers1 building schools1 and erecting libraries and hospitals4 ,they made at least a creditable effort to uphold and advance upon the scientific standards of an earlier age4 ,the first distinguished ,arabian physician was ,harets ben ,kaladah1 who received his education in the ,nestonian school at ,gondisapor1 about the beginning of the seventh century4 ,notwithstanding the fact that ,harets was a ,christian1 he was chosen by ,mohammed as his chief medical adviser1 and recommended as such to his successor1 the ,caliph ,abu ,bekr4 ,thus1 at the very outset1 the science of medicine was divorced from religion among the ,arabians2 for if the prophet himself could employ the services of an unbeliever1 surely others might follow his example4 ,and that this example was followed is shown in the fact that many ,christian physicians were raised to honorable positions by succeeding generations of ,arabian monarchs4 ,this broad-minded view of medicine taken by the ,arabs undoubtedly assisted as much as any one single factor in upbuilding the science1 just as the narrow and superstitious view taken by ,western nations helped to destroy it4 ,the education of the ,arabians made it natural for them to associate medicine with the natural sciences1 rather than with religion4 ,an ,arabian savant was supposed to be equally well educated in philosophy1 jurisprudence1 theology1 mathematics1 and medicine1 and to practise law1 theology1 and medicine with equal skill upon occasion4 ,it is easy to understand1 therefore1 why these religious fanatics were willing to employ unbelieving physicians1 and their physicians themselves to turn to the scientific works of ,hippocrates and ,galen for medical instruction1 rather than to religious works4 ,even ,mohammed himself professed some knowledge of medicine1 and often relied upon this knowledge in treating ailments rather than upon prayers or incantations4 ,he is said1 for example1 to have recommended and applied the cautery in the case of a friend who1 when suffering from angina1 had sought his aid4 ,the list of eminent ,arabian physicians is too long to be given here1 but some of them are of such importance in their influence upon later medicine that they cannot be entirely ignored4 ,one of the first of these was ,honain ben ,isaac 7#hji-hgc ,a4,d471 a ,christian ,arab of ,bagdad4 ,he made translations of the works of ,hippocrates1 and practised the art along the lines indicated by his teachings and those of ,galen4 ,he is considered the greatest translator of the ninth century and one of the greatest philosophers of that period4 ,another great ,arabian physician1 whose work was just beginning as ,honain's was drawing to a close1 was ,rhazes 7#hej-ibc ,a4,d471 who during his life was no less noted as a philosopher and musician than as a physician4 ,he continued the work of ,honain1 and advanced therapeutics by introducing more extensive use of chemical remedies1 such as mercurial ointments1 sulphuric acid1 and aqua vitae4 ,he is also credited with being the first physician to describe small-pox and measles accurately4 ,while ,rhazes was still alive another ,arabian1 ,haly ,abbas 7died about #iid71 was writing his famous encyclopaedia of medicine1 called ,the ,royal ,book4 ,but the names of all these great physicians have been considerably obscured by the reputation of ,avicenna 7#ihj-ajcg71 the ,arabian ,prince of ,physicians1 the greatest name in ,arabic medicine1 and one of the most remarkable men in history4 ,leclerc says that he was perhaps never surpassed by any man in brilliancy of intellect and indefatigable activity4 ,his career was a most varied one4 ,he was at all times a boisterous reveller1 but whether flaunting gayly among the guests of an emir or biding in some obscure apothecary cellar1 his work of philosophical writing was carried on steadily4 ,when a friendly emir was in power1 he taught and wrote and caroused at court2 but between times1 when some unfriendly ruler was supreme1 he was hiding away obscurely1 still pouring out his great mass of manuscripts4 ,in this way his entire life was spent4 ,by his extensive writings he revived and kept alive the best of the teachings of the ,greek physicians1 adding to them such observations as he had made in anatomy1 physiology1 and materia medica4 ,among his discoveries is that of the contagiousness of pulmonary tuberculosis4 ,his works for several centuries continued to be looked upon as the highest standard by physicians1 and he should undoubtedly be credited with having at least retarded the decline of mediaeval medicine4 ,but it was not the ,eastern ,arabs alone who were active in the field of medicine4 ,cordova1 the capital of the western caliphate1 became also a great centre of learning and produced several great physicians4 ,one of these1 ,albucasis 7died in #ajac ,a4,d471 is credited with having published the first illustrated work on surgery1 this book being remarkable in still another way1 in that it was also the first book1 since classical times1 written from the practical experience of the physician1 and not a mere compilation of ancient authors4 ,a century after ,albucasis came the great physician ,avenzoar 7#aaac-aaif71 with whom he divides about equally the medical honors of the western caliphate4 ,among ,avenzoar's discoveries was that of the cause of itch--a little parasite1 so small that he is hardly visible4 ,the discovery of the cause of this common disease seems of minor importance now1 but it is of interest in medical history because1 had ,avenzoar's discovery been remembered a hundred years ago1 itch struck in could hardly have been considered the cause of three-fourths of all diseases1 as it was by the famous ,hahnemann4 ,the illustrious pupil of ,avenzoar1 ,averrhoes1 who died in #aaih ,a4,d41 was the last of the great ,arabian physicians who1 by rational conception of medicine1 attempted to stem the flood of superstition that was overwhelming medicine4 ,for a time he succeeded2 but at last the ,moslem theologians prevailed1 and he was degraded and banished to a town inhabited only by the despised ,jews4 ,,arabian ,,hospitals ,to early ,christians belong the credit of having established the first charitable institutions for caring for the sick2 but their efforts were soon eclipsed by both ,eastern and ,western ,mohammedans4 ,as early as the eighth century the ,arabs had begun building hospitals1 but the flourishing time of hospital building seems to have begun early in the tenth century4 ,lady ,seidel1 in #iah ,a4,d41 opened a hospital at ,bagdad1 endowed with an amount corresponding to about three hundred pounds sterling a month4 ,other similar hospitals were erected in the years immediately following1 and in #igg the ,emir ,adad-adaula established an enormous institution with a staff of twenty-four medical officers4 ,the great physician ,rhazes is said to have selected the site for one of these hospitals by hanging pieces of meat in various places about the city1 selecting the site near the place at which putrefaction was slowest in making its appearance4 ,by the middle of the twelfth century there were something like sixty medical institutions in ,bagdad alone1 and these institutions were free to all patients and supported by official charity4 ,the ,emir ,nureddin1 about the year #aafj1 founded a great hospital at ,damascus1 as a thank-offering for his victories over the ,crusaders4 ,this great institution completely overshadowed all the earlier ,moslem hospitals in size and in the completeness of its equipment4 ,it was furnished with facilities for teaching1 and was conducted for several centuries in a lavish manner1 regardless of expense4 ,but little over a century after its foundation the fame of its methods of treatment led to the establishment of a larger and still more luxurious institution--the ,mansuri hospital at ,cairo4 ,it seems that a certain sultan1 having been cured by medicines from the ,damascene hospital1 determined to build one of his own at ,cairo which should eclipse even the great ,damascene institution4 ,in a single year 7#abhc-abhd7 this hospital was begun and completed4 ,no efforts were spared in hurrying on the good work1 and no one was exempt from performing labor on the building if he chanced to pass one of the adjoining streets4 ,it was the order of the sultan that any person passing near could be impressed into the work1 and this order was carried out to the letter1 noblemen and beggars alike being forced to lend a hand4 ,very naturally1 the adjacent thoroughfares became unpopular and practically deserted1 but still the holy work progressed rapidly and was shortly completed4 ,this immense structure is said to have contained four courts1 each having a fountain in the centre2 lecture-halls1 wards for isolating certain diseases1 and a department that corresponded to the modern hospital's out-patient department4 ,the yearly endowment amounted to something like the equivalent of one hundred and twenty-five thousand dollars4 ,a novel feature was a hall where musicians played day and night1 and another where story-tellers were employed1 so that persons troubled with insomnia were amused and melancholiacs cheered4 ,those of a religious turn of mind could listen to readings of the ,koran1 conducted continuously by a staff of some fifty chaplains4 ,each patient on leaving the hospital received some gold pieces1 that he need not be obliged to attempt hard labor at once4 ,in considering the astonishing tales of these sumptuous ,arabian institutions1 it should be borne in mind that our accounts of them are1 for the most part1 from ,mohammedan sources4 ,nevertheless1 there can be little question that they were enormous institutions1 far surpassing any similar institutions in western ,europe4 ,the so-called hospitals in the ,west were1 at this time1 branches of monasteries under supervision of the monks1 and did not compare favorably with the ,arabian hospitals4 ,but while the medical science of the ,mohammedans greatly overshadowed that of the ,christians during this period1 it did not completely obliterate it4 ,about the year #ajjj ,a4,d4 came into prominence the ,christian medical school at ,salerno1 situated on the ,italian coast1 some thirty miles southeast of ,naples4 ,just how long this school had been in existence1 or by whom it was founded1 cannot be determined1 but its period of greatest influence was the eleventh1 twelfth1 and thirteenth centuries4 ,the members of this school gradually adopted ,arabic medicine1 making use of many drugs from the ,arabic pharmacopoeia1 and this formed one of the stepping-stones to the introduction of ,arabian medicine all through western ,europe4 ,it was not the adoption of ,arabian medicines1 however1 that has made the school at ,salerno famous both in rhyme and prose1 but rather the fact that women there practised the healing art4 ,greatest among them was ,trotula1 who lived in the eleventh century1 and whose learning is reputed to have equalled that of the greatest physicians of the day4 ,she is accredited with a work on ,diseases of ,women1 still extant1 and many of her writings on general medical subjects were quoted through two succeeding centuries4 ,if we may judge from these writings1 she seemed to have had many excellent ideas as to the proper methods of treating diseases1 but it is difficult to determine just which of the writings credited to her are in reality hers4 ,indeed1 the uncertainty is even greater than this implies1 for1 according to some writers1 ,trotula is merely the title of a book4 ,such an authority as ,malgaigne1 however1 believed that such a woman existed1 and that the works accredited to her are authentic4 ,the truth of the matter may perhaps never be fully established1 but this at least is certain--the tradition in regard to ,trotula could never have arisen had not women held a far different position among the ,arabians of this period from that accorded them in contemporary ,christendom4 ,,iii4 ,,mediaeval ,,science ,,in ,,the ,,west ,we have previously referred to the influence of the ,byzantine civilization in transmitting the learning of antiquity across the abysm of the dark age4 ,it must be admitted1 however1 that the importance of that civilization did not extend much beyond the task of the common carrier4 ,there were no great creative scientists in the later ,roman empire of the ,east any more than in the corresponding empire of the ,west4 ,there was1 however1 one field in which the ,byzantine made respectable progress and regarding which their efforts require a few words of special comment4 ,this was the field of medicine4 ,the ,byzantines of this time could boast of two great medical men1 ,aetius of ,amida 7about #ejb-ege ,a4,d47 and ,paul of ,aegina 7about #fbj-fij74 ,the works of ,aetius were of value largely because they recorded the teachings of many of his eminent predecessors1 but he was not entirely lacking in originality1 and was perhaps the first physician to mention diphtheria1 with an allusion to some observations of the paralysis of the palate which sometimes follows this disease4 ,paul of ,aegina1 who came from the ,alexandrian school about a century later1 was one of those remarkable men whose ideas are centuries ahead of their time4 ,this was particularly true of ,paul in regard to surgery1 and his attitude towards the supernatural in the causation and treatment of diseases4 ,he was essentially a surgeon1 being particularly familiar with military surgery1 and some of his descriptions of complicated and difficult operations have been little improved upon even in modern times4 ,in his books he describes such operations as the removal of foreign bodies from the nose1 ear1 and esophagus2 and he recognizes foreign growths such as polypi in the air-passages1 and gives the method of their removal4 ,such operations as tracheotomy1 tonsillotomy1 bronchotomy1 staphylotomy1 etc41 were performed by him1 and he even advocated and described puncture of the abdominal cavity1 giving careful directions as to the location in which such punctures should be made4 ,he advocated amputation of the breast for the cure of cancer1 and described extirpation of the uterus4 ,just how successful this last operation may have been as performed by him does not appear2 but he would hardly have recommended it if it had not been sometimes1 at least1 successful4 ,that he mentions it at all1 however1 is significant1 as this difficult operation is considered one of the great triumphs of modern surgery4 ,but ,paul of ,aegina is a striking exception to the rule among ,byzantine surgeons1 and as he was their greatest1 so he was also their last important surgeon4 ,the energies of all ,byzantium were so expended in religious controversies that medicine1 like the other sciences1 was soon relegated to a place among the other superstitions1 and the influence of the ,byzantine school was presently replaced by that of the conquering ,arabians4 ,,thirteenth-,,century ,,medicine ,the thirteenth century marks the beginning of a gradual change in medicine1 and a tendency to leave the time-worn rut of superstitious dogmas that so long retarded the progress of science4 ,it is thought that the great epidemics which raged during the ,middle ,ages acted powerfully in diverting the medical thought of the times into new and entirely different channels4 ,it will be remembered that the teachings of ,galen were handed through mediaeval times as the highest and best authority on the subject of all diseases4 ,when1 however1 the great epidemics made their appearance1 the medical men appealed to the works of ,galen in vain for enlightenment1 as these works1 having been written several centuries before the time of the plagues1 naturally contained no information concerning them4 ,it was evident1 therefore1 that on this subject1 at least1 ,galen was not infallible2 and it would naturally follow that1 one fallible point having been revealed1 others would be sought for4 ,in other words1 scepticism in regard to accepted methods would be aroused1 and would lead naturally1 as such scepticism usually does1 to progress4 ,the devastating effects of these plagues1 despite prayers and incantations1 would arouse doubt in the minds of many as to the efficacy of superstitious rites and ceremonies in curing diseases4 ,they had seen thousands and tens of thousands of their fellow-beings swept away by these awful scourges4 ,they had seen the ravages of these epidemics continue for months or even years1 notwithstanding the fact that multitudes of ,god-fearing people prayed hourly that such ravages might be checked4 ,and they must have observed also that when even very simple rules of cleanliness and hygiene were followed there was a diminution in the ravages of the plague1 even without the aid of incantations4 ,such observations as these would have a tendency to awaken a suspicion in the minds of many of the physicians that disease was not a manifestation of the supernatural1 but a natural phenomenon1 to be treated by natural methods4 ,but1 be the causes what they may1 it is a fact that the thirteenth century marks a turning-point1 or the beginning of an attitude of mind which resulted in bringing medicine to a much more rational position4 ,among the thirteenth-century physicians1 two men are deserving of special mention4 ,these are ,arnald of ,villanova 7#abce-acab7 and ,peter of ,abano 7#abej-acae74 ,both these men suffered persecution for expressing their belief in natural1 as against the supernatural1 causes of disease1 and at one time ,arnald was obliged to flee from ,barcelona for declaring that the bulls of popes were human works1 and that acts of charity were dearer to ,god than hecatombs4 ,he was also accused of alchemy4 ,fleeing from persecution1 he finally perished by shipwreck4 ,arnald was the first great representative of the school of ,montpellier4 ,he devoted much time to the study of chemicals1 and was active in attempting to re-establish the teachings of ,hippocrates and ,galen4 ,he was one of the first of a long line of alchemists who1 for several succeeding centuries1 expended so much time and energy in attempting to find the elixir of life4 ,the ,arab discovery of alcohol first deluded him into the belief that the elixir had at last been found2 but later he discarded it and made extensive experiments with brandy1 employing it in the treatment of certain diseases--the first record of the administration of this liquor as a medicine4 ,arnald also revived the search for some anaesthetic that would produce insensibility to pain in surgical operations4 ,this idea was not original with him1 for since very early times physicians had attempted to discover such an anaesthetic1 and even so early a writer as ,herodotus tells how the ,scythians1 by inhalation of the vapors of some kind of hemp1 produced complete insensibility4 ,it may have been these writings that stimulated ,arnald to search for such an anaesthetic4 ,in a book usually credited to him1 medicines are named and methods of administration described which will make the patient insensible to pain1 so that he may be cut and feel nothing1 as though he were dead4 ,for this purpose a mixture of opium1 mandragora1 and henbane is to be used4 ,this mixture was held at the patient's nostrils much as ether and chloroform are administered by the modern surgeon4 ,the method was modified by ,hugo of ,lucca 7died in #abeb or #abfh71 who added certain other narcotics1 such as hemlock1 to the mixture1 and boiled a new sponge in this decoction4 ,after boiling for a certain time1 this sponge was dried1 and when wanted for use was dipped in hot water and applied to the nostrils4 ,just how frequently patients recovered from the administration of such a combination of powerful poisons does not appear1 but the percentage of deaths must have been very high1 as the practice was generally condemned4 ,insensibility could have been produced only by swallowing large quantities of the liquid1 which dripped into the nose and mouth when the sponge was applied1 and a lethal quantity might thus be swallowed4 ,the method was revived1 with various modifications1 from time to time1 but as often fell into disuse4 ,as late as #aghb it was sometimes attempted1 and in that year the ,king of ,poland is said to have been completely anaesthetized and to have recovered1 after a painless amputation had been performed by the surgeons4 ,peter of ,abano was one of the first great men produced by the ,university of ,padua4 ,his fate would have been even more tragic than that of the shipwrecked ,arnald had he not cheated the purifying fagots of the church by dying opportunely on the eve of his execution for heresy4 ,but if his spirit had cheated the fanatics1 his body could not1 and his bones were burned for his heresy4 ,he had dared to deny the existence of a devil1 and had suggested that the case of a patient who lay in a trance for three days might help to explain some miracles1 like the raising of ,lazarus4 ,his great work was ,conciliator ,differentiarum1 an attempt to reconcile physicians and philosophers4 ,but his researches were not confined to medicine1 for he seems to have had an inkling of the hitherto unknown fact that air possesses weight1 and his calculation of the length of the year at three hundred and sixty-five days1 six hours1 and four minutes1 is exceptionally accurate for the age in which he lived4 ,he was probably the first of the ,western writers to teach that the brain is the source of the nerves1 and the heart the source of the vessels4 ,from this it is seen that he was groping in the direction of an explanation of the circulation of the blood1 as demonstrated by ,harvey three centuries later4 ,the work of ,arnald and ,peter of ,abano in reviving medicine was continued actively by ,mondino 7#abgf-acbf7 of ,bologna1 the restorer of anatomy1 and by ,guy of ,chauliac3 7born about #acjj71 the restorer of surgery4 ,all through the early ,middle ,ages dissections of human bodies had been forbidden1 and even dissection of the lower animals gradually fell into disrepute because physicians detected in such practices were sometimes accused of sorcery4 ,before the close of the thirteenth century1 however1 a reaction had begun1 physicians were protected1 and dissections were occasionally sanctioned by the ruling monarch4 ,thus ,emperor ,frederick ,h4 7#aaid-abej ,a4,d47--whose services to science we have already had occasion to mention--ordered that at least one human body should be dissected by physicians in his kingdom every five years4 ,by the time of ,mondino dissections were becoming more frequent1 and he himself is known to have dissected and demonstrated several bodies4 ,his writings on anatomy have been called merely plagiarisms of ,galen1 but in all probability be made many discoveries independently1 and on the whole1 his work may be taken as more advanced than ,galen's4 ,his description of the heart is particularly accurate1 and he seems to have come nearer to determining the course of the blood in its circulation than any of his predecessors4 ,in this quest he was greatly handicapped by the prevailing belief in the idea that blood-vessels must contain air as well as blood1 and this led him to assume that one of the cavities of the heart contained spirits1 or air4 ,it is probable1 however1 that his accurate observations1 so far as they went1 were helpful stepping-stones to ,harvey in his discovery of the circulation4 ,guy of ,chauliac1 whose innovations in surgery reestablished that science on a firm basis1 was not only one of the most cultured1 but also the most practical surgeon of his time4 ,he had great reverence for the works of ,galen1 ,albucasis1 and others of his noted predecessors2 but this reverence did not blind him to their mistakes nor prevent him from using rational methods of treatment far in advance of theirs4 ,his practicality is shown in some of his simple but useful inventions for the sick-room1 such as the device of a rope1 suspended from the ceiling over the bed1 by which a patient may move himself about more easily2 and in some of his improvements in surgical dressings1 such as stiffening bandages by dipping them in the white of an egg so that they are held firmly4 ,he treated broken limbs in the suspended cradle still in use1 and introduced the method of making traction on a broken limb by means of a weight and pulley1 to prevent deformity through shortening of the member4 ,he was one of the first physicians to recognize the utility of spectacles1 and recommended them in cases not amenable to treatment with lotions and eye-waters4 ,in some of his surgical operations1 such as trephining for fracture of the skull1 his technique has been little improved upon even in modern times4 ,in one of these operations he successfully removed a portion of a man's brain4 ,surgery was undoubtedly stimulated greatly at this period by the constant wars4 ,lay physicians1 as a class1 had been looked down upon during the ,dark ,ages2 but with the beginning of the return to rationalism1 the services of surgeons on the battle-field1 to remove missiles from wounds1 and to care for wounds and apply dressings1 came to be more fully appreciated4 ,in return for his labors the surgeon was thus afforded better opportunities for observing wounds and diseases1 which led naturally to a gradual improvement in surgical methods4 ,,fifteenth-,,century ,,medicine ,the thirteenth and fourteenth centuries had seen some slight advancement in the science of medicine2 at least1 certain surgeons and physicians1 if not the generality1 had made advances2 but it was not until the fifteenth century that the general revival of medical learning became assured4 ,in this movement1 naturally1 the printing-press played an all-important part4 ,medical books1 hitherto practically inaccessible to the great mass of physicians1 now became common1 and this output of reprints of ,greek and ,arabic treatises revealed the fact that many of the supposed true copies were spurious4 ,these discoveries very naturally aroused all manner of doubt and criticism1 which in turn helped in the development of independent thought4 ,a certain manuscript of the great ,cornelius ,celsus1 the ,de ,medicine1 which had been lost for many centuries1 was found in the church of ,st4 ,ambrose1 at ,milan1 in #addc1 and was at once put into print4 ,the effect of the publication of this book1 which had lain in hiding for so many centuries1 was a revelation1 showing the medical profession how far most of their supposed true copies of ,celsus had drifted away from the original4 ,the indisputable authenticity of this manuscript1 discovered and vouched for by the man who shortly after became ,pope ,nicholas ,v41 made its publication the more impressive4 ,the output in book form of other authorities followed rapidly1 and the manifest discrepancies between such teachers as ,celsus1 ,hippocrates1 ,galen1 and ,pliny heightened still more the growing spirit of criticism4 ,these doubts resulted in great controversies as to the proper treatment of certain diseases1 some physicians following ,hippocrates1 others ,galen or ,celsus1 still others the ,arabian masters4 ,one of the most bitter of these contests was over the question of revulsion1 and derivation--that is1 whether in cases of pleurisy treated by bleeding1 the venesection should be made at a point distant from the seat of the disease1 as held by the revulsionists1 or at a point nearer and on the same side of the body1 as practised by the derivationists4 ,that any great point for discussion could be raised in the fifteenth or sixteenth centuries on so simple a matter as it seems to-day shows how necessary to the progress of medicine was the discovery of the circulation of the blood made by ,harvey two centuries later4 ,after ,harvey's discovery no such discussion could have been possible1 because this discovery made it evident that as far as the general effect upon the circulation is concerned1 it made little difference whether the bleeding was done near a diseased part or remote from it4 ,but in the sixteenth century this question was the all-absorbing one among the doctors4 ,at one time the faculty of ,paris condemned derivation2 but the supporters of this method carried the war still higher1 and ,emperor ,charles ,v4 himself was appealed to4 ,he reversed the decision of the ,paris faculty1 and decided in favor of derivation4 ,his decision was further supported by ,pope ,clement ,,vii41 although the discussion dragged on until cut short by ,harvey's discovery4 ,but a new form of injury now claimed the attention of the surgeons1 something that could be decided by neither ,greek nor ,arabian authors1 as the treatment of gun-shot wounds was1 for obvious reasons1 not given in their writings4 ,about this time1 also1 came the great epidemics1 the sweating sickness and scurvy2 and upon these subjects1 also1 the ,greeks and ,arabians were silent4 ,john of ,vigo1 in his book1 the ,practica ,copiosa1 published in #aead1 and repeated in many editions1 became the standard authority on all these subjects1 and thus supplanted the works of the ancient writers4 ,according to ,vigo1 gun-shot wounds differed from the wounds made by ordinary weapons--that is1 spear1 arrow1 sword1 or axe--in that the bullet1 being round1 bruised rather than cut its way through the tissues2 it burned the flesh2 and1 worst of all1 it poisoned it4 ,vigo laid especial stress upon treating this last condition1 recommending the use of the cautery or the oil of elder1 boiling hot4 ,it is little wonder that gun-shot wounds were so likely to prove fatal4 ,yet1 after all1 here was the germ of the idea of antisepsis4 ,,new ,,beginnings ,,in ,,general ,,science ,we have dwelt thus at length on the subject of medical science1 because it was chiefly in this field that progress was made in the ,western world during the mediaeval period1 and because these studies furnished the point of departure for the revival all along the line4 ,it will be understood1 however1 from what was stated in the preceding chapter1 that the ,arabian influences in particular were to some extent making themselves felt along other lines4 ,the opportunity afforded a portion of the ,western world--notably ,spain and ,sicily--to gain access to the scientific ideas of antiquity through ,arabic translations could not fail of influence4 ,of like character1 and perhaps even more pronounced in degree1 was the influence wrought by the ,byzantine refugees1 who1 when ,constantinople began to be threatened by the ,turks1 migrated to the ,west in considerable numbers1 bringing with them a knowledge of ,greek literature and a large number of precious works which for centuries had been quite forgotten or absolutely ignored in ,italy4 ,now ,western scholars began to take an interest in the ,greek language1 which had been utterly neglected since the beginning of the ,middle ,ages4 ,interesting stories are told of the efforts made by such men as ,cosmo de' ,medici to gain possession of classical manuscripts4 ,the revival of learning thus brought about had its first permanent influence in the fields of literature and art1 but its effect on science could not be long delayed4 ,quite independently of the ,byzantine influence1 however1 the striving for better intellectual things had manifested itself in many ways before the close of the thirteenth century4 ,an illustration of this is found in the almost simultaneous development of centres of teaching1 which developed into the universities of ,italy1 ,france1 ,england1 and1 a little later1 of ,germany4 ,the regular list of studies that came to be adopted everywhere comprised seven nominal branches1 divided into two groups--the so-called quadrivium1 comprising music1 arithmetic1 geometry1 and astronomy2 and the trivium comprising grammar1 rhetoric1 and logic4 ,the vagueness of implication of some of these branches gave opportunity to the teacher for the promulgation of almost any knowledge of which he might be possessed1 but there can be no doubt that1 in general1 science had but meagre share in the curriculum4 ,in so far as it was given representation1 its chief field must have been ,ptolemaic astronomy4 ,the utter lack of scientific thought and scientific method is illustrated most vividly in the works of the greatest men of that period--such men as ,albertus ,magnus1 ,thomas ,aquinas1 ,bonaventura1 and the hosts of other scholastics of lesser rank4 ,yet the mental awakening implied in their efforts was sure to extend to other fields1 and in point of fact there was at least one contemporary of these great scholastics whose mind was intended towards scientific subjects1 and who produced writings strangely at variance in tone and in content with the others4 ,this anachronistic thinker was the ,english monk1 ,roger ,bacon4 ,,roger ,,bacon ,bacon was born in #abad and died in #abib4 ,by some it is held that he was not appreciated in his own time because he was really a modern scientist living in an age two centuries before modern science or methods of modern scientific thinking were known4 ,such an estimate1 however1 is a manifest exaggeration of the facts1 although there is probably a grain of truth in it withal4 ,his learning certainly brought him into contact with the great thinkers of the time1 and his writings caused him to be imprisoned by his fellow-churchmen at different times1 from which circumstances we may gather that he was advanced thinker1 even if not a modern scientist4 ,although ,bacon was at various times in durance1 or under surveillance1 and forbidden to write1 he was nevertheless a marvellously prolific writer1 as is shown by the numerous books and unpublished manuscripts of his still extant4 ,his master-production was the ,opus ,majus4 ,in ,part ,,iv4 of this work he attempts to show that all sciences rest ultimately on mathematics2 but ,part ,v41 which treats of perspective1 is of particular interest to modern scientists1 because in this he discusses reflection and refraction1 and the properties of mirrors and lenses4 ,in this part1 also1 it is evident that he is making use of such ,arabian writers as ,alkindi and ,alhazen1 and this is of especial interest1 since it has been used by his detractors1 who accuse him of lack of originality1 to prove that his seeming inventions and discoveries were in reality adaptations of the ,arab scientists4 ,it is difficult to determine just how fully such criticisms are justified4 ,it is certain1 however1 that in this part he describes the anatomy of the eye with great accuracy1 and discusses mirrors and lenses4 ,the magnifying power of the segment of a glass sphere had been noted by ,alhazen1 who had observed also that the magnification was increased by increasing the size of the segment used4 ,bacon took up the discussion of the comparative advantages of segments1 and in this discussion seems to show that he understood how to trace the progress of the rays of light through a spherical transparent body1 and how to determine the place of the image4 ,he also described a method of constructing a telescope1 but it is by no means clear that he had ever actually constructed such an instrument4 ,it is also a mooted question as to whether his instructions as to the construction of such an instrument would have enabled any one to construct one4 ,the vagaries of the names of terms as he uses them allow such latitude in interpretation that modern scientists are not agreed as to the practicability of ,bacon's suggestions4 ,for example1 he constantly refers to force under such names as virtus1 species1 imago1 agentis1 and a score of other names1 and this naturally gives rise to the great differences in the interpretations of his writings1 with corresponding differences in estimates of them4 ,the claim that ,bacon originated the use of lenses1 in the form of spectacles1 cannot be proven4 ,smith has determined that as early as the opening years of the fourteenth century such lenses were in use1 but this proves nothing as regards ,bacon's connection with their invention4 ,the knowledge of lenses seems to be very ancient1 if we may judge from the convex lens of rock crystal found by ,layard in his excavations at ,nimrud4 ,there is nothing to show1 however1 that the ancients ever thought of using them to correct defects of vision4 ,neither1 apparently1 is it feasible to determine whether the idea of such an application originated with ,bacon4 ,another mechanical discovery about which there has been a great deal of discussion is ,bacon's supposed invention of gunpowder4 ,it appears that in a certain passage of his work he describes the process of making a substance that is1 in effect1 ordinary gunpowder2 but it is more than doubtful whether he understood the properties of the substance he describes4 ,it is fairly well established1 however1 that in ,bacon's time gunpowder was known to the ,arabs1 so that it should not be surprising to find references made to it in ,bacon's work1 since there is reason to believe that he constantly consulted ,arabian writings4 ,the great merit of ,bacon's work1 however1 depends on the principles taught as regards experiment and the observation of nature1 rather than on any single invention4 ,he had the all-important idea of breaking with tradition4 ,he championed unfettered inquiry in every field of thought4 ,he had the instinct of a scientific worker--a rare instinct indeed in that age4 ,nor need we doubt that to the best of his opportunities he was himself an original investigator4 ,,leonardo ,,da ,,vinci ,the relative infertility of ,bacon's thought is shown by the fact that he founded no school and left no trace of discipleship4 ,the entire century after his death shows no single ,european name that need claim the attention of the historian of science4 ,in the latter part of the fifteenth century1 however1 there is evidence of a renaissance of science no less than of art4 ,the ,german ,muller became famous under the latinized named of ,regio ,montanus 7#adcg-adgb71 although his actual scientific attainments would appear to have been important only in comparison with the utter ignorance of his contemporaries4 ,the most distinguished worker of the new era was the famous ,italian ,leonardo da ,vinci--a man who has been called by ,hamerton the most universal genius that ever lived4 ,leonardo's position in the history of art is known to every one4 ,with that1 of course1 we have no present concern2 but it is worth our while to inquire at some length as to the famous painter's accomplishments as a scientist4 ,from a passage in the works of ,leonardo1 first brought to light by ,venturi17#a7 it would seem that the great painter anticipated ,copernicus in determining the movement of the earth4 ,he made mathematical calculations to prove this1 and appears to have reached the definite conclusion that the earth does move--or what amounts to the same thing1 that the sun does not move4 ,muntz is authority for the statement that in one of his writings he declares1 ,il sole non si mouve--the sun does not move47#b7 ,among his inventions is a dynamometer for determining the traction power of machines and animals1 and his experiments with steam have led some of his enthusiastic partisans to claim for him priority to ,watt in the invention of the steam-engine4 ,in these experiments1 however1 ,leonardo seems to have advanced little beyond ,hero of ,alexandria and his steam toy4 ,hero's steam-engine did nothing but rotate itself by virtue of escaping jets of steam forced from the bent tubes1 while ,leonardo's steam-engine drove a ball weighing one talent over a distance of six stadia4 ,in a manuscript now in the library of the ,institut de ,france1 ,da ,vinci describes this engine minutely4 ,the action of this machine was due to the sudden conversion of small quantities of water into steam 7smoke1 as he called it7 by coming suddenly in contact with a heated surface in a proper receptacle1 the rapidly formed steam acting as a propulsive force after the manner of an explosive4 ,it is really a steam-gun1 rather than a steam-engine1 and it is not unlikely that the study of the action of gunpowder may have suggested it to ,leonardo4 ,it is believed that ,leonardo is the true discoverer of the camera-obscura1 although the ,neapolitan philosopher1 ,giambattista ,porta1 who was not born until some twenty years after the death of ,leonardo1 is usually credited with first describing this device4 ,there is little doubt1 however1 that ,da ,vinci understood the principle of this mechanism1 for he describes how such a camera can be made by cutting a small1 round hole through the shutter of a darkened room1 the reversed image of objects outside being shown on the opposite wall4 ,like other philosophers in all ages1 he had observed a great number of facts which he was unable to explain correctly4 ,but such accumulations of scientific observations are always interesting1 as showing how many centuries of observation frequently precede correct explanation4 ,he observed many facts about sounds1 among others that blows struck upon a bell produced sympathetic sounds in a bell of the same kind2 and that striking the string of a lute produced vibration in corresponding strings of lutes strung to the same pitch4 ,he knew1 also1 that sounds could be heard at a distance at sea by listening at one end of a tube1 the other end of which was placed in the water2 and that the same expedient worked successfully on land1 the end of the tube being placed against the ground4 ,the knowledge of this great number of unexplained facts is often interpreted by the admirers of ,da ,vinci1 as showing an almost occult insight into science many centuries in advance of his time4 ,such interpretations1 however1 are illusive4 ,the observation1 for example1 that a tube placed against the ground enables one to hear movements on the earth at a distance1 is not in itself evidence of anything more than acute scientific observation1 as a similar method is in use among almost every race of savages1 notably the ,american ,indians4 ,on the other hand1 one is inclined to give credence to almost any story of the breadth of knowledge of the man who came so near anticipating ,hutton1 ,lyell1 and ,darwin in his interpretation of the geological records as he found them written on the rocks4 ,it is in this field of geology that ,leonardo is entitled to the greatest admiration by modern scientists4 ,he had observed the deposit of fossil shells in various strata of rocks1 even on the tops of mountains1 and he rejected once for all the theory that they had been deposited there by the ,deluge4 ,he rightly interpreted their presence as evidence that they had once been deposited at the bottom of the sea4 ,this process he assumed bad taken hundreds and thousands of centuries1 thus tacitly rejecting the biblical tradition as to the date of the creation4 ,notwithstanding the obvious interest that attaches to the investigations of ,leonardo1 it must be admitted that his work in science remained almost as infertile as that of his great precursor1 ,bacon4 ,the really stimulative work of this generation was done by a man of affairs1 who knew little of theoretical science except in one line1 but who pursued that one practical line until he achieved a wonderful result4 ,this man was ,christopher ,columbus4 ,it is not necessary here to tell the trite story of his accomplishment4 ,suffice it that his practical demonstration of the rotundity of the earth is regarded by most modern writers as marking an epoch in history4 ,with the year of his voyage the epoch of the ,middle ,ages is usually regarded as coming to an end4 ,it must not be supposed that any very sudden change came over the aspect of scholarship of the time1 but the preliminaries of great things had been achieved1 and when ,columbus made his famous voyage in #adib1 the man was already alive who was to bring forward the first great vitalizing thought in the field of pure science that the ,western world had originated for more than a thousand years4 ,this man bore the name of ,kopernik1 or in its familiar ,anglicized form1 ,copernicus4 ,his life work and that of his disciples will claim our attention in the succeeding chapter4 ,,iv4 ,,the ,,new ,,cosmology--,,copernicus ,,to ,,kepler ,,and ,,galileo ,we have seen that the ,ptolemaic astronomy1 which was the accepted doctrine throughout the ,middle ,ages1 taught that the earth is round4 ,doubtless there was a popular opinion current which regarded the earth as flat1 but it must be understood that this opinion had no champions among men of science during the ,middle ,ages4 ,when1 in the year #adib1 ,columbus sailed out to the west on his memorable voyage1 his expectation of reaching ,india had full scientific warrant1 however much it may have been scouted by certain ecclesiastics and by the average man of the period4 ,nevertheless1 we may well suppose that the successful voyage of ,columbus1 and the still more demonstrative one made about thirty years later by ,magellan1 gave the theory of the earth's rotundity a certainty it could never previously have had4 ,alexandrian geographers had measured the size of the earth1 and had not hesitated to assert that by sailing westward one might reach ,india4 ,but there is a wide gap between theory and practice1 and it required the voyages of ,columbus and his successors to bridge that gap4 ,after the companions of ,magellan completed the circumnavigation of the globe1 the general shape of our earth would1 obviously1 never again be called in question4 ,but demonstration of the sphericity of the earth had1 of course1 no direct bearing upon the question of the earth's position in the universe4 ,therefore the voyage of ,magellan served to fortify1 rather than to dispute1 the ,ptolemaic theory4 ,according to that theory1 as we have seen1 the earth was supposed to lie immovable at the centre of the universe2 the various heavenly bodies1 including the sun1 revolving about it in eccentric circles4 ,we have seen that several of the ancient ,greeks1 notably ,aristarchus1 disputed this conception1 declaring for the central position of the sun in the universe1 and the motion of the earth and other planets about that body4 ,but this revolutionary theory seemed so opposed to the ordinary observation that1 having been discountenanced by ,hipparchus and ,ptolemy1 it did not find a single important champion for more than a thousand years after the time of the last great ,alexandrian astronomer4 ,the first man1 seemingly1 to hark back to the ,aristarchian conception in the new scientific era that was now dawning was the noted cardinal1 ,nikolaus of ,cusa1 who lived in the first half of the fifteenth century1 and was distinguished as a philosophical writer and mathematician4 ,his ,de ,docta ,ignorantia expressly propounds the doctrine of the earth's motion4 ,no one1 however1 paid the slightest attention to his suggestion1 which1 therefore1 merely serves to furnish us with another interesting illustration of the futility of propounding even a correct hypothesis before the time is ripe to receive it--particularly if the hypothesis is not fully fortified by reasoning based on experiment or observation4 ,the man who was destined to put forward the theory of the earth's motion in a way to command attention was born in #adgc1 at the village of ,thorn1 in eastern ,prussia4 ,his name was ,nicholas ,copernicus4 ,there is no more famous name in the entire annals of science than this1 yet posterity has never been able fully to establish the lineage of the famous expositor of the true doctrine of the solar system4 ,the city of ,thorn lies in a province of that border territory which was then under control of ,poland1 but which subsequently became a part of ,prussia4 ,it is claimed that the aspects of the city were essentially ,german1 and it is admitted that the mother of ,copernicus belonged to that race4 ,the nationality of the father is more in doubt1 but it is urged that ,copernicus used ,german as his mother-tongue4 ,his great work was1 of course1 written in ,latin1 according to the custom of the time2 but it is said that1 when not employing that language1 he always wrote in ,german4 ,the disputed nationality of ,copernicus strongly suggests that he came of a mixed racial lineage1 and we are reminded again of the influences of those ethnical minglings to which we have previously more than once referred4 ,the acknowledged centres of civilization towards the close of the fifteenth century were ,italy and ,spain4 ,therefore1 the birthplace of ,copernicus lay almost at the confines of civilization1 reminding us of that earlier period when ,greece was the centre of culture1 but when the great ,greek thinkers were born in ,asia ,minor and in ,italy4 ,as a young man1 ,copernicus made his way to ,vienna to study medicine1 and subsequently he journeyed into ,italy and remained there many years1 ,about the year #aejj he held the chair of mathematics in a college at ,rome4 ,subsequently he returned to his native land and passed his remaining years there1 dying at ,domkerr1 in ,frauenburg1 ,east ,prussia1 in the year #aedc4 ,it would appear that ,copernicus conceived the idea of the heliocentric system of the universe while he was a comparatively young man1 since in the introduction to his great work1 which he addressed to ,pope ,paul ,,iii41 he states that he has pondered his system not merely nine years1 in accordance with the maxim of ,horace1 but well into the fourth period of nine years4 ,throughout a considerable portion of this period the great work of ,copernicus was in manuscript1 but it was not published until the year of his death4 ,the reasons for the delay are not very fully established4 ,copernicus undoubtedly taught his system throughout the later decades of his life4 ,he himself tells us that he had even questioned whether it were not better for him to confine himself to such verbal teaching1 following thus the example of ,pythagoras4 ,just as his life was drawing to a close1 he decided to pursue the opposite course1 and the first copy of his work is said to have been placed in his hands as he lay on his deathbed4 ,the violent opposition which the new system met from ecclesiastical sources led subsequent commentators to suppose that ,copernicus had delayed publication of his work through fear of the church authorities4 ,there seems1 however1 to be no direct evidence for this opinion4 ,it has been thought significant that ,copernicus addressed his work to the pope4 ,it is1 of course1 quite conceivable that the aged astronomer might wish by this means to demonstrate that he wrote in no spirit of hostility to the church4 ,his address to the pope might have been considered as a desirable shield precisely because the author recognized that his work must needs meet with ecclesiastical criticism4 ,be that as it may1 ,copernicus was removed by death from the danger of attack1 and it remained for his disciples of a later generation to run the gauntlet of criticism and suffer the charges of heresy4 ,the work of ,copernicus1 published thus in the year #aedc at ,nuremberg1 bears the title ,de ,orbium ,coelestium ,revolutionibus4 ,it is not necessary to go into details as to the cosmological system which ,copernicus advocated1 since it is familiar to every one4 ,in a word1 he supposed the sun to be the centre of all the planetary motions1 the earth taking its place among the other planets1 the list of which1 as known at that time1 comprised ,mercury1 ,venus1 the ,earth1 ,mars1 ,jupiter1 and ,saturn4 ,the fixed stars were alleged to be stationary1 and it was necessary to suppose that they are almost infinitely distant1 inasmuch as they showed to the observers of that time no parallax2 that is to say1 they preserved the same apparent position when viewed from the opposite points of the earth's orbit4 ,but let us allow ,copernicus to speak for himself regarding his system1 ,his exposition is full of interest4 ,we quote first the introduction just referred to1 in which appeal is made directly to the pope4 ,i can well believe1 most holy father1 that certain people1 when they hear of my attributing motion to the earth in these books of mine1 will at once declare that such an opinion ought to be rejected4 ,now1 my own theories do not please me so much as not to consider what others may judge of them4 ,accordingly1 when ,i began to reflect upon what those persons who accept the stability of the earth1 as confirmed by the opinion of many centuries1 would say when ,i claimed that the earth moves1 ,i hesitated for a long time as to whether ,i should publish that which ,i have written to demonstrate its motion1 or whether it would not be better to follow the example of the ,pythagoreans1 who used to hand down the secrets of philosophy to their relatives and friends only in oral form4 ,as ,i well considered all this1 ,i was almost impelled to put the finished work wholly aside1 through the scorn ,i had reason to anticipate on account of the newness and apparent contrariness to reason of my theory4 ,my friends1 however1 dissuaded me from such a course and admonished me that ,i ought to publish my book1 which had lain concealed in my possession not only nine years1 but already into four times the ninth year4 ,not a few other distinguished and very learned men asked me to do the same thing1 and told me that ,i ought not1 on account of my anxiety1 to delay any longer in consecrating my work to the general service of mathematicians4 ,but your holiness will perhaps not so much wonder that ,i have dared to bring the results of my night labors to the light of day1 after having taken so much care in elaborating them1 but is waiting instead to hear how it entered my mind to imagine that the earth moved1 contrary to the accepted opinion of mathematicians--nay1 almost contrary to ordinary human understanding4 ,therefore ,i will not conceal from your holiness that what moved me to consider another way of reckoning the motions of the heavenly bodies was nothing else than the fact that the mathematicians do not agree with one another in their investigations4 ,in the first place1 they are so uncertain about the motions of the sun and moon that they cannot find out the length of a full year4 ,in the second place1 they apply neither the same laws of cause and effect1 in determining the motions of the sun and moon and of the five planets1 nor the same proofs4 ,some employ only concentric circles1 others use eccentric and epicyclic ones1 with which1 however1 they do not fully attain the desired end4 ,they could not even discover nor compute the main thing--namely1 the form of the universe and the symmetry of its parts4 ,it was with them as if some should1 from different places1 take hands1 feet1 head1 and other parts of the body1 which1 although very beautiful1 were not drawn in their proper relations1 and1 without making them in any way correspond1 should construct a monster instead of a human being4 ,accordingly1 when ,i had long reflected on this uncertainty of mathematical tradition1 ,i took the trouble to read again the books of all the philosophers ,i could get hold of1 to see if some one of them had not once believed that there were other motions of the heavenly bodies4 ,first ,i found in ,cicero that ,niceties had believed in the motion of the earth4 ,afterwards ,i found in ,plutarch1 likewise1 that some others had held the same opinion4 ,this induced me also to begin to consider the movability of the earth1 and1 although the theory appeared contrary to reason1 ,i did so because ,i knew that others before me had been allowed to assume rotary movements at will1 in order to explain the phenomena of these celestial bodies4 ,i was of the opinion that ,i1 too1 might be permitted to see whether1 by presupposing motion in the earth1 more reliable conclusions than hitherto reached could not be discovered for the rotary motions of the spheres4 ,and thus1 acting on the hypothesis of the motion which1 in the following book1 ,i ascribe to the earth1 and by long and continued observations1 ,i have finally discovered that if the motion of the other planets be carried over to the relation of the earth and this is made the basis for the rotation of every star1 not only will the phenomena of the planets be explained thereby1 but also the laws and the size of the stars2 all their spheres and the heavens themselves will appear so harmoniously connected that nothing could be changed in any part of them without confusion in the remaining parts and in the whole universe4 ,i do not doubt that clever and learned men will agree with me if they are willing fully to comprehend and to consider the proofs which ,i advance in the book before us4 ,in order1 however1 that both the learned and the unlearned may see that ,i fear no man's judgment1 ,i wanted to dedicate these1 my night labors1 to your holiness1 rather than to any one else1 because you1 even in this remote corner of the earth where ,i live1 are held to be the greatest in dignity of station and in love for all sciences and for mathematics1 so that you1 through your position and judgment1 can easily suppress the bites of slanderers1 although the proverb says that there is no remedy against the bite of calumny4 ,in chapter ,x4 of book ,i41 ,on the ,order of the ,spheres1 occurs a more detailed presentation of the system1 as follows3 ,that which ,martianus ,capella1 and a few other ,latins1 very well knew1 appears to me extremely noteworthy4 ,he believed that ,venus and ,mercury revolve about the sun as their centre and that they cannot go farther away from it than the circles of their orbits permit1 since they do not revolve about the earth like the other planets4 ,according to this theory1 then1 ,mercury's orbit would be included within that of ,venus1 which is more than twice as great1 and would find room enough within it for its revolution4 ,if1 acting upon this supposition1 we connect ,saturn1 ,jupiter1 and ,mars with the same centre1 keeping in mind the greater extent of their orbits1 which include the earth's sphere besides those of ,mercury and ,venus1 we cannot fail to see the explanation of the regular order of their motions4 ,he is certain that ,saturn1 ,jupiter1 and ,mars are always nearest the earth when they rise in the evening--that is1 when they appear over against the sun1 or the earth stands between them and the sun--but that they are farthest from the earth when they set in the evening--that is1 when we have the sun between them and the earth4 ,this proves sufficiently that their centre belongs to the sun and is the same about which the orbits of ,venus and ,mercury circle4 ,since1 however1 all have one centre1 it is necessary for the space intervening between the orbits of ,venus and ,mars to include the earth with her accompanying moon and all that is beneath the moon2 for the moon1 which stands unquestionably nearest the earth1 can in no way be separated from her1 especially as there is sufficient room for the moon in the aforesaid space4 ,hence we do not hesitate to claim that the whole system1 which includes the moon with the earth for its centre1 makes the round of that great circle between the planets1 in yearly motion about the sun1 and revolves about the centre of the universe1 in which the sun rests motionless1 and that all which looks like motion in the sun is explained by the motion of the earth4 ,the extent of the universe1 however1 is so great that1 whereas the distance of the earth from the sun is considerable in comparison with the size of the other planetary orbits1 it disappears when compared with the sphere of the fixed stars4 ,i hold this to be more easily comprehensible than when the mind is confused by an almost endless number of circles1 which is necessarily the case with those who keep the earth in the middle of the universe4 ,although this may appear incomprehensible and contrary to the opinion of many1 ,i shall1 if ,god wills1 make it clearer than the sun1 at least to those who are not ignorant of mathematics4 ,the order of the spheres is as follows3 ,the first and lightest of all the spheres is that of the fixed stars1 which includes itself and all others1 and hence is motionless as the place in the universe to which the motion and position of all other stars is referred4 ,then follows the outermost planet1 ,saturn1 which completes its revolution around the sun in thirty years2 next comes ,jupiter with a twelve years' revolution2 then ,mars1 which completes its course in two years4 ,the fourth one in order is the yearly revolution which includes the earth with the moon's orbit as an epicycle4 ,in the fifth place is ,venus with a revolution of nine months4 ,the sixth place is taken by ,mercury1 which completes its course in eighty days4 ,in the middle of all stands the sun1 and who could wish to place the lamp of this most beautiful temple in another or better place4 ,thus1 in fact1 the sun1 seated upon the royal throne1 controls the family of the stars which circle around him4 ,we find in their order a harmonious connection which cannot be found elsewhere4 ,here the attentive observer can see why the waxing and waning of ,jupiter seems greater than with ,saturn and smaller than with ,mars1 and again greater with ,venus than with ,mercury4 ,also1 why ,saturn1 ,jupiter1 and ,mars are nearer to the earth when they rise in the evening than when they disappear in the rays of the sun4 ,more prominently1 however1 is it seen in the case of ,mars1 which when it appears in the heavens at night1 seems to equal ,jupiter in size1 but soon afterwards is found among the stars of second magnitude4 ,all of this results from the same cause--namely1 from the earth's motion4 ,the fact that nothing of this is to be seen in the case of the fixed stars is a proof of their immeasurable distance1 which makes even the orbit of yearly motion or its counterpart invisible to us47#a7 ,the fact that the stars show no parallax had been regarded as an important argument against the motion of the earth1 and it was still so considered by the opponents of the system of ,copernicus4 ,it had1 indeed1 been necessary for ,aristarchus to explain the fact as due to the extreme distance of the stars2 a perfectly correct explanation1 but one that implies distances that are altogether inconceivable4 ,it remained for nineteenth-century astronomers to show1 with the aid of instruments of greater precision1 that certain of the stars have a parallax4 ,but long before this demonstration had been brought forward1 the system of ,copernicus had been accepted as a part of common knowledge4 ,while ,copernicus postulated a cosmical scheme that was correct as to its main features1 he did not altogether break away from certain defects of the ,ptolemaic hypothesis4 ,indeed1 he seems to have retained as much of this as practicable1 in deference to the prejudice of his time4 ,thus he records the planetary orbits as circular1 and explains their eccentricities by resorting to the theory of epicycles1 quite after the ,ptolemaic method4 ,but now1 of course1 a much more simple mechanism sufficed to explain the planetary motions1 since the orbits were correctly referred to the central sun and not to the earth4 ,needless to say1 the revolutionary conception of ,copernicus did not meet with immediate acceptance4 ,a number of prominent astronomers1 however1 took it up almost at once1 among these being ,rhaeticus1 who wrote a commentary on the evolutions2 ,erasmus ,reinhold1 the author of the ,prutenic tables2 ,rothmann1 astronomer to the ,landgrave of ,hesse1 and ,maestlin1 the instructor of ,kepler4 ,the ,prutenic tables1 just referred to1 so called because of their ,prussian origin1 were considered an improvement on the tables of ,copernicus1 and were highly esteemed by the astronomers of the time4 ,the commentary of ,rhaeticus gives us the interesting information that it was the observation of the orbit of ,mars and of the very great difference between his apparent diameters at different times which first led ,copernicus to conceive the heliocentric idea4 ,of ,reinhold it is recorded that he considered the orbit of ,mercury elliptical1 and that he advocated a theory of the moon1 according to which her epicycle revolved on an elliptical orbit1 thus in a measure anticipating one of the great discoveries of ,kepler to which we shall refer presently4 ,the ,landgrave of ,hesse was a practical astronomer1 who produced a catalogue of fixed stars which has been compared with that of ,tycho ,brahe4 ,he was assisted by ,rothmann and by ,justus ,byrgius4 ,maestlin1 the preceptor of ,kepler1 is reputed to have been the first modern observer to give a correct explanation of the light seen on portions of the moon not directly illumined by the sun4 ,he explained this as not due to any proper light of the moon itself1 but as light reflected from the earth4 ,certain of the ,greek philosophers1 however1 are said to have given the same explanation1 and it is alleged also that ,leonardo da ,vinci anticipated ,maestlin in this regard47#b7 ,while1 various astronomers of some eminence thus gave support to the ,copernican system1 almost from the beginning1 it unfortunately chanced that by far the most famous of the immediate successors of ,copernicus declined to accept the theory of the earth's motion4 ,this was ,tycho ,brahe1 one of the greatest observing astronomers of any age4 ,tycho ,brahe was a ,dane1 born at ,knudstrup in the year #aedf4 ,he died in #afja at ,prague1 in ,bohemia4 ,during a considerable portion of his life he found a patron in ,frederick1 ,king of ,denmark1 who assisted him to build a splendid observatory on the ,island of ,huene4 ,on the death of his patron ,tycho moved to ,germany1 where1 as good luck would have it1 he came in contact with the youthful ,kepler1 and thus1 no doubt1 was instrumental in stimulating the ambitions of one who in later years was to be known as a far greater theorist than himself4 ,as has been said1 ,tycho rejected the ,copernican theory of the earth's motion4 ,it should be added1 however1 that he accepted that part of the ,copernican theory which makes the sun the centre of all the planetary motions1 the earth being excepted4 ,he thus developed a system of his own1 which was in some sort a compromise between the ,ptolemaic and the ,copernican systems4 ,as ,tycho conceived it1 the sun revolves about the earth1 carrying with it the planets-,mercury1 ,venus1 ,mars1 ,jupiter1 and ,saturn1 which planets have the sun and not the earth as the centre of their orbits4 ,this cosmical scheme1 it should be added1 may be made to explain the observed motions of the heavenly bodies1 but it involves a much more complex mechanism than is postulated by the ,copernican theory4 ,various explanations have been offered of the conservatism which held the great ,danish astronomer back from full acceptance of the relatively simple and1 as we now know1 correct ,copernican doctrine4 ,from our latter-day point of view1 it seems so much more natural to accept than to reject the ,copernican system1 that we find it difficult to put ourselves in the place of a sixteenth-century observer4 ,yet if we recall that the traditional view1 having warrant of acceptance by nearly all thinkers of every age1 recorded the earth as a fixed1 immovable body1 we shall see that our surprise should be excited rather by the thinker who can break away from this view than by the one who still tends to cling to it4 ,moreover1 it is useless to attempt to disguise the fact that something more than a mere vague tradition was supposed to support the idea of the earth's overshadowing importance in the cosmical scheme4 ,the sixteenth-century mind was overmastered by the tenets of ecclesiasticism1 and it was a dangerous heresy to doubt that the ,hebrew writings1 upon which ecclesiasticism based its claim1 contained the last word regarding matters of science4 ,but the writers of the ,hebrew text had been under the influence of that ,babylonian conception of the universe which accepted the earth as unqualifiedly central--which1 indeed1 had never so much as conceived a contradictory hypothesis2 and so the ,western world1 which had come to accept these writings as actually supernatural in origin1 lay under the spell of ,oriental ideas of a pre-scientific era4 ,in our own day1 no one speaking with authority thinks of these ,hebrew writings as having any scientific weight whatever4 ,their interest in this regard is purely antiquarian2 hence from our changed point of view it seems scarcely credible that ,tycho ,brahe can have been in earnest when he quotes the ,hebrew traditions as proof that the sun revolves about the earth4 ,yet we shall see that for almost three centuries after the time of ,tycho1 these same dreamings continued to be cited in opposition to those scientific advances which new observations made necessary2 and this notwithstanding the fact that the ,oriental phrasing is1 for the most part1 poetically ambiguous and susceptible of shifting interpretations1 as the criticism of successive generations has amply testified4 ,as we have said1 ,tycho ,brahe1 great observer as he was1 could not shake himself free from the ,oriental incubus4 ,he began his objections1 then1 to the ,copernican system by quoting the adverse testimony of a ,hebrew prophet who lived more than a thousand years ,b4,c4 ,all of this shows sufficiently that ,tycho ,brahe was not a great theorist4 ,he was essentially an observer1 but in this regard he won a secure place in the very first rank4 ,indeed1 he was easily the greatest observing astronomer since ,hipparchus1 between whom and himself there were many points of resemblance4 ,hipparchus1 it will be recalled1 rejected the ,aristarchian conception of the universe just as ,tycho rejected the conception of ,copernicus4 ,but if ,tycho propounded no great generalizations1 the list of specific advances due to him is a long one1 and some of these were to prove important aids in the hands of later workers to the secure demonstration of the ,copernican idea4 ,one of his most important series of studies had to do with comets4 ,regarding these bodies there had been the greatest uncertainty in the minds of astronomers4 ,the greatest variety of opinions regarding them prevailed2 they were thought on the one hand to be divine messengers1 and on the other to be merely igneous phenomena of the earth's atmosphere4 ,tycho ,brahe declared that a comet which he observed in the year #aegg had no parallax1 proving its extreme distance4 ,the observed course of the comet intersected the planetary orbits1 which fact gave a quietus to the long-mooted question as to whether the ,ptolemaic spheres were transparent solids or merely imaginary2 since the comet was seen to intersect these alleged spheres1 it was obvious that they could not be the solid substance that they were commonly imagined to be1 and this fact in itself went far towards discrediting the ,ptolemaic system4 ,it should be recalled1 however1 that this supposition of tangible spheres for the various planetary and stellar orbits was a mediaeval interpretation of ,ptolemy's theory rather than an interpretation of ,ptolemy himself1 there being nothing to show that the ,alexandrian astronomer regarded his cycles and epicycles as other than theoretical4 ,an interesting practical discovery made by ,tycho was his method of determining the latitude of a place by means of two observations made at an interval of twelve hours4 ,hitherto it had been necessary to observe the sun's angle on the equinoctial days1 a period of six months being therefore required4 ,tycho measured the angle of elevation of some star situated near the pole1 when on the meridian1 and then1 twelve hours later1 measured the angle of elevation of the same star when it again came to the meridian at the opposite point of its apparent circle about the polestar4 ,half the sum of these angles gives the latitude of the place of observation4 ,as illustrating the accuracy of ,tycho's observations1 it may be noted that he rediscovered a third inequality of the moon's motion at its variation1 he1 in common with other ,european astronomers1 being then quite unaware that this inequality had been observed by an ,arabian astronomer4 ,tycho proved also that the angle of inclination of the moon's orbit to the ecliptic is subject to slight variation4 ,the very brilliant new star which shone forth suddenly in the constellation of ,cassiopeia in the year #aegb1 was made the object of special studies by ,tycho1 who proved that the star had no sensible parallax and consequently was far beyond the planetary regions4 ,the appearance of a new star was a phenomenon not unknown to the ancients1 since ,pliny records that ,hipparchus was led by such an appearance to make his catalogue of the fixed stars4 ,but the phenomenon is sufficiently uncommon to attract unusual attention4 ,a similar phenomenon occurred in the year #afjd1 when the new star--in this case appearing in the constellation of ,serpentarius--was explained by ,kepler as probably proceeding from a vast combustion4 ,this explanation--in which ,kepler is said to have followed4 ,tycho--is fully in accord with the most recent theories on the subject1 as we shall see in due course4 ,it is surprising to hear ,tycho credited with so startling a theory1 but1 on the other hand1 such an explanation is precisely what should be expected from the other astronomer named4 ,for ,johann ,kepler1 or1 as he was originally named1 ,johann von ,kappel1 was one of the most speculative astronomers of any age4 ,he was forever theorizing1 but such was the peculiar quality of his mind that his theories never satisfied him for long unless he could put them to the test of observation4 ,thanks to this happy combination of qualities1 ,kepler became the discoverer of three famous laws of planetary motion which lie at the very foundation of modern astronomy1 and which were to be largely instrumental in guiding ,newton to his still greater generalization4 ,these laws of planetary motion were vastly important as corroborating the ,copernican theory of the universe1 though their position in this regard was not immediately recognized by contemporary thinkers4 ,let us examine with some detail into their discovery1 meantime catching a glimpse of the life history of the remarkable man whose name they bear4 ,,johann ,,kepler ,,and ,,the ,,laws ,,of ,,planetary ,,motion ,johann ,kepler was born the #bgth of ,december1 #aega1 in the little town of ,weil1 in ,wurtemburg4 ,he was a weak1 sickly child1 further enfeebled by a severe attack of small-pox4 ,it would seem paradoxical to assert that the parents of such a genius were mismated1 but their home was not a happy one1 the mother being of a nervous temperament1 which perhaps in some measure accounted for the genius of the child4 ,the father led the life of a soldier1 and finally perished in the campaign against the ,turks4 ,young ,kepler's studies were directed with an eye to the ministry4 ,after a preliminary training he attended the university at ,tubingen1 where he came under the influence of the celebrated ,maestlin and became his life-long friend4 ,curiously enough1 it is recorded that at first ,kepler had no taste for astronomy or for mathematics4 ,but the doors of the ministry being presently barred to him1 he turned with enthusiasm to the study of astronomy1 being from the first an ardent advocate of the ,copernican system4 ,his teacher1 ,maestlin1 accepted the same doctrine1 though he was obliged1 for theological reasons1 to teach the ,ptolemaic system1 as also to oppose the ,gregorian reform of the calendar4 ,the ,gregorian calendar1 it should be explained1 is so called because it was instituted by ,pope ,gregory ,,xiii41 who put it into effect in the year #aehb1 up to which time the so-called ,julian calendar1 as introduced by ,julius ,caesar1 had been everywhere accepted in ,christendom4 ,this ,julian calendar1 as we have seen1 was a great improvement on preceding ones1 but still lacked something of perfection inasmuch as its theoretical day differed appreciably from the actual day4 ,in the course of fifteen hundred years1 since the time of ,caesar1 this defect amounted to a discrepancy of about eleven days4 ,pope ,gregory proposed to correct this by omitting ten days from the calendar1 which was done in ,september1 #aehb4 ,to prevent similar inaccuracies in the future1 the ,gregorian calendar provided that once in four centuries the additional day to make a leap-year should be omitted1 the date selected for such omission being the last year of every fourth century4 ,thus the years #aejj1 #aijj1 and #bcjj1 ,a4,d41 would not be leap-years4 ,by this arrangement an approximate rectification of the calendar was effected1 though even this does not make it absolutely exact4 ,such a rectification as this was obviously desirable1 but there was really no necessity for the omission of the ten days from the calendar4 ,the equinoctial day had shifted so that in the year #aehb it fell on the #ajth of ,march and ,september4 ,there was no reason why it should not have remained there4 ,it would greatly have simplified the task of future historians had ,gregory contented himself with providing for the future stability of the calendar without making the needless shift in question4 ,we are so accustomed to think of the #bast of ,march and #bast of ,september as the natural periods of the equinox1 that we are likely to forget that these are purely arbitrary dates for which the #ajth might have been substituted without any inconvenience or inconsistency4 ,but the opposition to the new calendar1 to which reference has been made1 was not based on any such considerations as these4 ,it was due1 largely at any rate1 to the fact that ,germany at this time was under sway of the ,lutheran revolt against the papacy4 ,so effective was the opposition that the ,gregorian calendar did not come into vogue in ,germany until the year #afii4 ,it may be added that ,england1 under stress of the same manner of prejudice1 held out against the new reckoning until the year #agea1 while ,russia does not accept it even now4 ,as the ,protestant leaders thus opposed the papal attitude in a matter of so practical a character as the calendar1 it might perhaps have been expected that the ,lutherans would have had a leaning towards the ,copernican theory of the universe1 since this theory was opposed by the papacy4 ,such1 however1 was not the case4 ,luther himself pointed out with great strenuousness1 as a final and demonstrative argument1 the fact that ,joshua commanded the sun and not the earth to stand still2 and his followers were quite as intolerant towards the new teaching as were their ultramontane opponents4 ,kepler himself was1 at various times1 to feel the restraint of ecclesiastical opposition1 though he was never subjected to direct persecution1 as was his friend and contemporary1 ,galileo4 ,at the very outset of ,kepler's career there was1 indeed1 question as to the publication of a work he had written1 because that work took for granted the truth of the ,copernican doctrine4 ,this work appeared1 however1 in the year #aeif4 ,it bore the title ,mysterium ,cosmographium1 and it attempted to explain the positions of the various planetary bodies4 ,copernicus had devoted much time to observation of the planets with reference to measuring their distance1 and his efforts had been attended with considerable success4 ,he did not1 indeed1 know the actual distance of the sun1 and1 therefore1 was quite unable to fix the distance of any planet2 but1 on the other hand1 he determined the relative distance of all the planets then known1 as measured in terms of the sun's distance1 with remarkable accuracy4 ,with these measurements as a guide1 ,kepler was led to a very fanciful theory1 according to which the orbits of the five principal planets sustain a peculiar relation to the five regular solids of geometry4 ,his theory was this3 ,around the orbit of the earth describe a dodecahedron--the circle comprising it will be that of ,mars2 around ,mars describe a tetrahedron--the circle comprising it will be that of ,jupiter2 around ,jupiter describe a cube--the circle comprising it will be that of ,saturn2 now within the earth's orbit inscribe an icosahedron--the inscribed circle will be that of ,venus2 in the orbit of ,venus inscribe an octahedron--the circle inscribed will be that of ,mercury47#c7 ,though this arrangement was a fanciful one1 which no one would now recall had not the theorizer obtained subsequent fame on more substantial grounds1 yet it evidenced a philosophical spirit on the part of the astronomer which1 misdirected as it was in this instance1 promised well for the future4 ,tycho ,brahe1 to whom a copy of the work was sent1 had the acumen to recognize it as a work of genius4 ,he summoned the young astronomer to be his assistant at ,prague1 and no doubt the association thus begun was instrumental in determining the character of ,kepler's future work4 ,it was precisely the training in minute observation that could avail most for a mind which1 like ,kepler's1 tended instinctively to the formulation of theories4 ,when ,tycho ,brahe died1 in #afja1 ,kepler became his successor4 ,in due time he secured access to all the unpublished observations of his great predecessor1 and these were of inestimable value to him in the progress of his own studies4 ,kepler was not only an ardent worker and an enthusiastic theorizer1 but he was an indefatigable writer1 and it pleased him to take the public fully into his confidence1 not merely as to his successes1 but as to his failures4 ,thus his works elaborate false theories as well as correct ones1 and detail the observations through which the incorrect guesses were refuted by their originator4 ,some of these accounts are highly interesting1 but they must not detain us here4 ,for our present purpose it must suffice to point out the three important theories1 which1 as culled from among a score or so of incorrect ones1 ,kepler was able to demonstrate to his own satisfaction and to that of subsequent observers4 ,stated in a few words1 these theories1 which have come to bear the name of ,kepler's ,laws1 are the following3 #a4 ,that the planetary orbits are not circular1 but elliptical1 the sun occupying one focus of the ellipses4 #b4 ,that the speed of planetary motion varies in different parts of the orbit in such a way that an imaginary line drawn from the sun to the planet--that is to say1 the radius vector of the planet's orbit--always sweeps the same area in a given time4 ,these two laws ,kepler published as early as #afji4 ,many years more of patient investigation were required before he found out the secret of the relation between planetary distances and times of revolution which his third law expresses4 ,in #afah1 however1 he was able to formulate this relation also1 as follows3 #c4 ,the squares of the distance of the various planets from the sun are proportional to the cubes of their periods of revolution about the sun4 ,all these laws1 it will be observed1 take for granted the fact that the sun is the centre of the planetary orbits4 ,it must be understood1 too1 that the earth is constantly regarded1 in accordance with the ,copernican system1 as being itself a member of the planetary system1 subject to precisely the same laws as the other planets4 ,long familiarity has made these wonderful laws of ,kepler seem such a matter of course that it is difficult now to appreciate them at their full value4 ,yet1 as has been already pointed out1 it was the knowledge of these marvellously simple relations between the planetary orbits that laid the foundation for the ,newtonian law of universal gravitation4 ,contemporary judgment could not1 of course1 anticipate this culmination of a later generation4 ,what it could understand was that the first law of ,kepler attacked one of the most time-honored of metaphysical conceptions--namely1 the ,aristotelian idea that the circle is the perfect figure1 and hence that the planetary orbits must be circular4 ,not even ,copernicus had doubted the validity of this assumption4 ,that ,kepler dared dispute so firmly fixed a belief1 and one that seemingly had so sound a philosophical basis1 evidenced the iconoclastic nature of his genius4 ,that he did not rest content until he had demonstrated the validity of his revolutionary assumption shows how truly this great theorizer made his hypotheses subservient to the most rigid inductions4 ,,galileo ,,galilei ,while ,kepler was solving these riddles of planetary motion1 there was an even more famous man in ,italy whose championship of the ,copernican doctrine was destined to give the greatest possible publicity to the new ideas4 ,this was ,galileo ,galilei1 one of the most extraordinary scientific observers of any age4 ,galileo was born at ,pisa1 on the #ahth of ,february 7old style71 #aefd4 ,the day of his birth is doubly memorable1 since on the same day the greatest ,italian of the preceding epoch1 ,michael ,angelo1 breathed his last4 ,persons fond of symbolism have found in the coincidence a forecast of the transit from the artistic to the scientific epoch of the later ,renaissance4 ,galileo came of an impoverished noble family4 ,he was educated for the profession of medicine1 but did not progress far before his natural proclivities directed him towards the physical sciences4 ,meeting with opposition in ,pisa1 he early accepted a call to the chair of natural philosophy in the ,university of ,padua1 and later in life he made his home at ,florence4 ,the mechanical and physical discoveries of ,galileo will claim our attention in another chapter4 ,our present concern is with his contribution to the ,copernican theory4 ,galileo himself records in a letter to ,kepler that he became a convert to this theory at an early day4 ,he was not enabled1 however1 to make any marked contribution to the subject1 beyond the influence of his general teachings1 until about the year #afaj4 ,the brilliant contributions which he made were due largely to a single discovery--namely1 that of the telescope4 ,hitherto the astronomical observations had been made with the unaided eye4 ,glass lenses had been known since the thirteenth century1 but1 until now1 no one had thought of their possible use as aids to distant vision4 ,the question of priority of discovery has never been settled4 ,it is admitted1 however1 that the chief honors belong to the opticians of the ,netherlands4 ,as early as the year #aeij the ,dutch optician ,zacharias ,jensen placed a concave and a convex lens respectively at the ends of a tube about eighteen inches long1 and used this instrument for the purpose of magnifying small objects--producing1 in short1 a crude microscope4 ,some years later1 ,johannes ,lippershey1 of whom not much is known except that he died in #afai1 experimented with a somewhat similar combination of lenses1 and made the startling observation that the weather-vane on a distant church-steeple seemed to be brought much nearer when viewed through the lens4 ,the combination of lenses he employed is that still used in the construction of opera-glasses2 the ,germans still call such a combination a ,dutch telescope4 ,doubtless a large number of experimenters took the matter up and the fame of the new instrument spread rapidly abroad4 ,galileo1 down in ,italy1 heard rumors of this remarkable contrivance1 through the use of which it was said distant objects might be seen as clearly as those near at hand4 ,he at once set to work to construct for himself a similar instrument1 and his efforts were so far successful that at first he saw objects three times as near and nine times enlarged4 ,continuing his efforts1 he presently so improved his glass that objects were enlarged almost a thousand times and made to appear thirty times nearer than when seen with the naked eye4 ,naturally enough1 ,galileo turned this fascinating instrument towards the skies1 and he was almost immediately rewarded by several startling discoveries4 ,at the very outset1 his magnifying-glass brought to view a vast number of stars that are invisible to the naked eye1 and enabled the observer to reach the conclusion that the hazy light of the ,milky ,way is merely due to the aggregation of a vast number of tiny stars4 ,turning his telescope towards the moon1 ,galileo found that body rough and earth-like in contour1 its surface covered with mountains1 whose height could be approximately measured through study of their shadows4 ,this was disquieting1 because the current ,aristotelian doctrine supposed the moon1 in common with the planets1 to be a perfectly spherical1 smooth body4 ,the metaphysical idea of a perfect universe was sure to be disturbed by this seemingly rough workmanship of the moon4 ,thus far1 however1 there was nothing in the observations of ,galileo to bear directly upon the ,copernican theory2 but when an inspection was made of the planets the case was quite different4 ,with the aid of his telescope1 ,galileo saw that ,venus1 for example1 passes through phases precisely similar to those of the moon1 due1 of course1 to the same cause4 ,here1 then1 was demonstrative evidence that the planets are dark bodies reflecting the light of the sun1 and an explanation was given of the fact1 hitherto urged in opposition to the ,copernican theory1 that the inferior planets do not seem many times brighter when nearer the earth than when in the most distant parts of their orbits2 the explanation being1 of course1 that when the planets are between the earth and the sun only a small portion of their illumined surfaces is visible from the earth4 ,on inspecting the planet ,jupiter1 a still more striking revelation was made1 as four tiny stars were observed to occupy an equatorial position near that planet1 and were seen1 when watched night after night1 to be circling about the planet1 precisely as the moon circles about the earth4 ,here1 obviously1 was a miniature solar system--a tangible object-lesson in the ,copernican theory4 ,in honor of the ruling ,florentine house of the period1 ,galileo named these moons of ,jupiter1 ,medicean stars4 ,turning attention to the sun itself1 ,galileo observed on the surface of that luminary a spot or blemish which gradually changed its shape1 suggesting that changes were taking place in the substance of the sun--changes obviously incompatible with the perfect condition demanded by the metaphysical theorists4 ,but however disquieting for the conservative1 the sun's spots served a most useful purpose in enabling ,galileo to demonstrate that the sun itself revolves on its axis1 since a given spot was seen to pass across the disk and after disappearing to reappear in due course4 ,the period of rotation was found to be about twenty-four days4 ,it must be added that various observers disputed priority of discovery of the sun's spots with ,galileo4 ,unquestionably a sun-spot had been seen by earlier observers1 and by them mistaken for the transit of an inferior planet4 ,kepler himself had made this mistake4 ,before the day of the telescope1 he had viewed the image of the sun as thrown on a screen in a camera-obscura1 and had observed a spot on the disk which be interpreted as representing the planet ,mercury1 but which1 as is now known1 must have been a sun-spot1 since the planetary disk is too small to have been revealed by this method4 ,such observations as these1 however interesting1 cannot be claimed as discoveries of the sun-spots4 ,it is probable1 however1 that several discoverers 7notably ,johann ,fabricius7 made the telescopic observation of the spots1 and recognized them as having to do with the sun's surface1 almost simultaneously with ,galileo4 ,one of these claimants was a ,jesuit named ,scheiner1 and the jealousy of this man is said to have had a share in bringing about that persecution to which we must now refer4 ,there is no more famous incident in the history of science than the heresy trial through which ,galileo was led to the nominal renunciation of his cherished doctrines4 ,there is scarcely another incident that has been commented upon so variously4 ,each succeeding generation has put its own interpretation on it4 ,the facts1 however1 have been but little questioned4 ,it appears that in the year #afaf the church became at last aroused to the implications of the heliocentric doctrine of the universe4 ,apparently it seemed clear to the church authorities that the authors of the ,bible believed the world to be immovably fixed at the centre of the universe4 ,such1 indeed1 would seem to be the natural inference from various familiar phrases of the ,hebrew text1 and what we now know of the status of ,oriental science in antiquity gives full warrant to this interpretation4 ,there is no reason to suppose that the conception of the subordinate place of the world in the solar system had ever so much as occurred1 even as a vague speculation1 to the authors of ,genesis4 ,in common with their contemporaries1 they believed the earth to be the all-important body in the universe1 and the sun a luminary placed in the sky for the sole purpose of giving light to the earth4 ,there is nothing strange1 nothing anomalous1 in this view2 it merely reflects the current notions of ,oriental peoples in antiquity4 ,what is strange and anomalous is the fact that the ,oriental dreamings thus expressed could have been supposed to represent the acme of scientific knowledge4 ,yet such a hold had these writings taken upon the ,western world that not even a ,galileo dared contradict them openly2 and when the church fathers gravely declared the heliocentric theory necessarily false1 because contradictory to ,scripture1 there were probably few people in ,christendom whose mental attitude would permit them justly to appreciate the humor of such a pronouncement4 ,and1 indeed1 if here and there a man might have risen to such an appreciation1 there were abundant reasons for the repression of the impulse1 for there was nothing humorous about the response with which the authorities of the time were wont to meet the expression of iconoclastic opinions4 ,the burning at the stake of ,giordano ,bruno1 in the year #afjj1 was1 for example1 an object-lesson well calculated to restrain the enthusiasm of other similarly minded teachers4 ,doubtless it was such considerations that explained the relative silence of the champions of the ,copernican theory1 accounting for the otherwise inexplicable fact that about eighty years elapsed after the death of ,copernicus himself before a single text-book expounded his theory4 ,the text-book which then appeared1 under date of #afbb1 was written by the famous ,kepler1 who perhaps was shielded in a measure from the papal consequences of such hardihood by the fact of residence in a ,protestant country4 ,not that the ,protestants of the time favored the heliocentric doctrine--we have already quoted ,luther in an adverse sense--but of course it was characteristic of the ,reformation temper to oppose any papal pronouncement1 hence the ultramontane declaration of #afaf may indirectly have aided the doctrine which it attacked1 by making that doctrine less obnoxious to ,lutheran eyes4 ,be that as it may1 the work of ,kepler brought its author into no direct conflict with the authorities4 ,but the result was quite different when1 in #afcb1 ,galileo at last broke silence and gave the world1 under cover of the form of dialogue1 an elaborate exposition of the ,copernican theory4 ,galileo1 it must be explained1 had previously been warned to keep silent on the subject1 hence his publication doubly offended the authorities4 ,to be sure1 he could reply that his dialogue introduced a champion of the ,ptolemaic system to dispute with the upholder of the opposite view1 and that1 both views being presented with full array of argument1 the reader was left to reach a verdict for himself1 the author having nowhere pointedly expressed an opinion4 ,but such an argument1 of course1 was specious1 for no one who read the dialogue could be in doubt as to the opinion of the author4 ,moreover1 it was hinted that ,simplicio1 the character who upheld the ,ptolemaic doctrine and who was everywhere worsted in the argument1 was intended to represent the pope himself--a suggestion which probably did no good to ,galileo's cause4 ,the character of ,galileo's artistic presentation may best be judged from an example1 illustrating the vigorous assault of ,salviati1 the champion of the new theory1 and the feeble retorts of his conservative antagonist3 ,salviati4 ,let us then begin our discussion with the consideration that1 whatever motion may be attributed to the earth1 yet we1 as dwellers upon it1 and hence as participators in its motion1 cannot possibly perceive anything of it1 presupposing that we are to consider only earthly things4 ,on the other hand1 it is just as necessary that this same motion belong apparently to all other bodies and visible objects1 which1 being separated from the earth1 do not take part in its motion4 ,the correct method to discover whether one can ascribe motion to the earth1 and what kind of motion1 is1 therefore1 to investigate and observe whether in bodies outside the earth a perceptible motion may be discovered which belongs to all alike4 ,because a movement which is perceptible only in the moon1 for instance1 and has nothing to do with ,venus or ,jupiter or other stars1 cannot possibly be peculiar to the earth1 nor can its seat be anywhere else than in the moon4 ,now there is one such universal movement which controls all others--namely1 that which the sun1 moon1 the other planets1 the fixed stars--in short1 the whole universe1 with the single exception of the earth--appears to execute from east to west in the space of twenty-four hours4 ,this now1 as it appears at the first glance anyway1 might just as well be a motion of the earth alone as of all the rest of the universe with the exception of the earth1 for the same phenomena would result from either hypothesis4 ,beginning with the most general1 ,i will enumerate the reasons which seem to speak in favor of the earth's motion4 ,when we merely consider the immensity of the starry sphere in comparison with the smallness of the terrestrial ball1 which is contained many million times in the former1 and then think of the rapidity of the motion which completes a whole rotation in one day and night1 ,i cannot persuade myself how any one can hold it to be more reasonable and credible that it is the heavenly sphere which rotates1 while the earth stands still4 ,simplicio4 ,i do not well understand how that powerful motion may be said to as good as not exist for the sun1 the moon1 the other planets1 and the innumerable host of fixed stars4 ,do you call that nothing when the sun goes from one meridian to another1 rises up over this horizon and sinks behind that one1 brings now day1 and now night2 when the moon goes through similar changes1 and the other planets and fixed stars in the same way8 ,salviati4 ,all the changes you mention are such only in respect to the earth4 ,to convince yourself of it1 only imagine the earth out of existence4 ,there would then be no rising and setting of the sun or of the moon1 no horizon1 no meridian1 no day1 no night--in short1 the said motion causes no change of any sort in the relation of the sun to the moon or to any of the other heavenly bodies1 be they planets or fixed stars4 ,all changes are rather in respect to the earth2 they may all be reduced to the simple fact that the sun is first visible in ,china1 then in ,persia1 afterwards in ,egypt1 ,greece1 ,france1 ,spain1 ,america1 etc41 and that the same thing happens with the moon and the other heavenly bodies4 ,exactly the same thing happens and in exactly the same way if1 instead of disturbing so large a part of the universe1 you let the earth revolve about itself4 ,the difficulty is1 however1 doubled1 inasmuch as a second very important problem presents itself4 ,if1 namely1 that powerful motion is ascribed to the heavens1 it is absolutely necessary to regard it as opposed to the individual motion of all the planets1 every one of which indubitably has its own very leisurely and moderate movement from west to east4 ,if1 on the other hand1 you let the earth move about itself1 this opposition of motion disappears4 ,the improbability is tripled by the complete overthrow of that order which rules all the heavenly bodies in which the revolving motion is definitely established4 ,the greater the sphere is in such a case1 so much longer is the time required for its revolution2 the smaller the sphere the shorter the time4 ,saturn1 whose orbit surpasses those of all the planets in size1 traverses it in thirty years4 ,jupiter7#d7 completes its smaller course in twelve years1 ,mars in two2 the moon performs its much smaller revolution within a month4 ,just as clearly in the ,medicean stars1 we see that the one nearest ,jupiter completes its revolution in a very short time--about forty-two hours2 the next in about three and one-half days1 the third in seven1 and the most distant one in sixteen days4 ,this rule1 which is followed throughout1 will still remain if we ascribe the twenty-four-hourly motion to a rotation of the earth4 ,if1 however1 the earth is left motionless1 we must go first from the very short rule of the moon to ever greater ones--to the two-yearly rule of ,mars1 from that to the twelve-yearly one of ,jupiter1 from here to the thirty-yearly one of ,saturn1 and then suddenly to an incomparably greater sphere1 to which also we must ascribe a complete rotation in twenty-four hours4 ,if1 however1 we assume a motion of the earth1 the rapidity of the periods is very well preserved2 from the slowest sphere of ,saturn we come to the wholly motionless fixed stars4 ,we also escape thereby a fourth difficulty1 which arises as soon as we assume that there is motion in the sphere of the stars4 ,i mean the great unevenness in the movement of these very stars1 some of which would have to revolve with extraordinary rapidity in immense circles1 while others moved very slowly in small circles1 since some of them are at a greater1 others at a less1 distance from the pole4 ,that is likewise an inconvenience1 for1 on the one hand1 we see all those stars1 the motion of which is indubitable1 revolve in great circles1 while1 on the other hand1 there seems to be little object in placing bodies1 which are to move in circles1 at an enormous distance from the centre and then let them move in very small circles4 ,and not only are the size of the different circles and therewith the rapidity of the movement very different in the different fixed stars1 but the same stars also change their orbits and their rapidity of motion4 ,therein consists the fifth inconvenience4 ,those stars1 namely1 which were at the equator two thousand years ago1 and hence described great circles in their revolutions1 must to-day move more slowly and in smaller circles1 because they are many degrees removed from it4 ,it will even happen1 after not so very long a time1 that one of those which have hitherto been continually in motion will finally coincide with the pole and stand still1 but after a period of repose will again begin to move4 ,the other stars in the mean while1 which unquestionably move1 all have1 as was said1 a great circle for an orbit and keep this unchangeably4 ,the improbability is further increased--this may be considered the sixth inconvenience--by the fact that it is impossible to conceive what degree of solidity those immense spheres must have1 in the depths of which so many stars are fixed so enduringly that they are kept revolving evenly in spite of such difference of motion without changing their respective positions4 ,or if1 according to the much more probable theory1 the heavens are fluid1 and every star describes an orbit of its own1 according to what law then1 or for what reason1 are their orbits so arranged that1 when looked at from the earth1 they appear to be contained in one single sphere8 ,to attain this it seems to me much easier and more convenient to make them motionless instead of moving1 just as the paving-stones on the market-place1 for instance1 remain in order more easily than the swarms of children running about on them4 ,finally1 the seventh difficulty3 ,if we attribute the daily rotation to the higher region of the heavens1 we should have to endow it with force and power sufficient to carry with it the innumerable host of the fixed stars--every one a body of very great compass and much larger than the earth--and all the planets1 although the latter1 like the earth1 move naturally in an opposite direction4 ,in the midst of all this the little earth1 single and alone1 would obstinately and wilfully withstand such force--a supposition which1 it appears to me1 has much against it4 ,i could also not explain why the earth1 a freely poised body1 balancing itself about its centre1 and surrounded on all sides by a fluid medium1 should not be affected by the universal rotation4 ,such difficulties1 however1 do not confront us if we attribute motion to the earth--such a small1 insignificant body in comparison with the whole universe1 and which for that very reason cannot exercise any power over the latter4 ,simplicio4 ,you support your arguments throughout1 it seems to me1 on the greater ease and simplicity with which the said effects are produced4 ,you mean that as a cause the motion of the earth alone is just as satisfactory as the motion of all the rest of the universe with the exception of the earth2 you hold the actual event to be much easier in the former case than in the latter4 ,for the ruler of the universe1 however1 whose might is infinite1 it is no less easy to move the universe than the earth or a straw balm4 ,but if his power is infinite1 why should not a greater1 rather than a very small1 part of it be revealed to me8 ,salviati4 ,if ,i had said that the universe does not move on account of the impotence of its ruler1 ,i should have been wrong and your rebuke would have been in order4 ,i admit that it is just as easy for an infinite power to move a hundred thousand as to move one4 ,what ,i said1 however1 does not refer to him who causes the motion1 but to that which is moved4 ,in answer to your remark that it is more fitting for an infinite power to reveal a large part of itself rather than a little1 ,i answer that1 in relation to the infinite1 one part is not greater than another1 if both are finite4 ,hence it is unallowable to say that a hundred thousand is a larger part of an infinite number than two1 although the former is fifty thousand times greater than the latter4 ,if1 therefore1 we consider the moving bodies1 we must unquestionably regard the motion of the earth as a much simpler process than that of the universe2 if1 furthermore1 we direct our attention to so many other simplifications which may be reached only by this theory1 the daily movement of the earth must appear much more probable than the motion of the universe without the earth1 for1 according to ,aristotle's just axiom1 ',frustra fit per plura1 quod potest fieri per p auciora' 7,it is vain to expend many means where a few are sufficient747#b7 ,the work was widely circulated1 and it was received with an interest which bespeaks a wide-spread undercurrent of belief in the ,copernican doctrine4 ,naturally enough1 it attracted immediate attention from the church authorities4 ,galileo was summoned to appear at ,rome to defend his conduct4 ,the philosopher1 who was now in his seventieth year1 pleaded age and infirmity4 ,he had no desire for personal experience of the tribunal of the ,inquisition2 but the mandate was repeated1 and ,galileo went to ,rome4 ,there1 as every one knows1 he disavowed any intention to oppose the teachings of ,scripture1 and formally renounced the heretical doctrine of the earth's motion4 ,according to a tale which so long passed current that every historian must still repeat it though no one now believes it authentic1 ,galileo qualified his renunciation by muttering to himself1 ,e pur si muove 7,it does move1 none the less71 as he rose to his feet and retired from the presence of his persecutors4 ,the tale is one of those fictions which the dramatic sense of humanity is wont to impose upon history1 but1 like most such fictions1 it expresses the spirit if not the letter of truth2 for just as no one believes that ,galileo's lips uttered the phrase1 so no one doubts that the rebellious words were in his mind4 ,after his formal renunciation1 ,galileo was allowed to depart1 but with the injunction that he abstain in future from heretical teaching4 ,the remaining ten years of his life were devoted chiefly to mechanics1 where his experiments fortunately opposed the ,aristotelian rather than the ,hebrew teachings4 ,galileo's death occurred in #afdb1 a hundred years after the death of ,copernicus4 ,kepler had died thirteen years before1 and there remained no astronomer in the field who is conspicuous in the history of science as a champion of the ,copernican doctrine4 ,but in truth it might be said that the theory no longer needed a champion4 ,the researches of ,kepler and ,galileo had produced a mass of evidence for the ,copernican theory which amounted to demonstration4 ,a generation or two might be required for this evidence to make itself everywhere known among men of science1 and of course the ecclesiastical authorities must be expected to stand by their guns for a somewhat longer period4 ,in point of fact1 the ecclesiastical ban was not technically removed by the striking of the ,copernican books from the list of the ,index ,expurgatorius until the year #ahbb1 almost two hundred years after the date of ,galileo's dialogue4 ,but this1 of course1 is in no sense a guide to the state of general opinion regarding the theory4 ,we shall gain a true gauge as to this if we assume that the greater number of important thinkers had accepted the heliocentric doctrine before the middle of the seventeenth century1 and that before the close of that century the old ,ptolemaic idea had been quite abandoned4 ,a wonderful revolution in man's estimate of the universe had thus been effected within about two centuries after the birth of ,copernicus4 ,v4 ,,galileo ,,and ,,the ,,new ,,physics ,after ,galileo had felt the strong hand of the ,inquisition1 in #afcb1 he was careful to confine his researches1 or at least his publications1 to topics that seemed free from theological implications4 ,in doing so he reverted to the field of his earliest studies--namely1 the field of mechanics2 and the ,dialoghi delle ,nuove ,scienze1 which he finished in #afcf1 and which was printed two years later1 attained a celebrity no less than that of the heretical dialogue that had preceded it4 ,the later work was free from all apparent heresies1 yet perhaps it did more towards the establishment of the ,copernican doctrine1 through the teaching of correct mechanical principles1 than the other work had accomplished by a more direct method4 ,galileo's astronomical discoveries were1 as we have seen1 in a sense accidental2 at least1 they received their inception through the inventive genius of another4 ,his mechanical discoveries1 on the other hand1 were the natural output of his own creative genius4 ,at the very beginning of his career1 while yet a very young man1 though a professor of mathematics at ,pisa1 he had begun that onslaught upon the old ,aristotelian ideas which he was to continue throughout his life4 ,at the famous leaning tower in ,pisa1 the young iconoclast performed1 in the year #aeij1 one of the most theatrical demonstrations in the history of science4 ,assembling a multitude of champions of the old ideas1 he proposed to demonstrate the falsity of the ,aristotelian doctrine that the velocity of falling bodies is proportionate to their weight4 ,there is perhaps no fact more strongly illustrative of the temper of the ,middle ,ages than the fact that this doctrine1 as taught by the ,aristotelian philosopher1 should so long have gone unchallenged4 ,now1 however1 it was put to the test2 ,galileo released a half-pound weight and a hundred-pound cannon-ball from near the top of the tower1 and1 needless to say1 they reached the ground together4 ,of course1 the spectators were but little pleased with what they saw4 ,they could not doubt the evidence of their own senses as to the particular experiment in question2 they could suggest1 however1 that the experiment involved a violation of the laws of nature through the practice of magic4 ,to controvert so firmly established an idea savored of heresy4 ,the young man guilty of such iconoclasm was naturally looked at askance by the scholarship of his time4 ,instead of being applauded1 he was hissed1 and he found it expedient presently to retire from ,pisa4 ,fortunately1 however1 the new spirit of progress had made itself felt more effectively in some other portions of ,italy1 and so ,galileo found a refuge and a following in ,padua1 and afterwards in ,florence2 and while1 as we have seen1 he was obliged to curb his enthusiasm regarding the subject that was perhaps nearest his heart--the promulgation of the ,copernican theory--yet he was permitted in the main to carry on his experimental observations unrestrained4 ,these experiments gave him a place of unquestioned authority among his contemporaries1 and they have transmitted his name to posterity as that of one of the greatest of experimenters and the virtual founder of modern mechanical science4 ,the experiments in question range over a wide field2 but for the most part they have to do with moving bodies and with questions of force1 or1 as we should now say1 of energy4 ,the experiment at the leaning tower showed that the velocity of falling bodies is independent of the weight of the bodies1 provided the weight is sufficient to overcome the resistance of the atmosphere4 ,later experiments with falling bodies led to the discovery of laws regarding the accelerated velocity of fall4 ,such velocities were found to bear a simple relation to the period of time from the beginning of the fall4 ,other experiments1 in which balls were allowed to roll down inclined planes1 corroborated the observation that the pull of gravitation gave a velocity proportionate to the length of fall1 whether such fall were direct or in a slanting direction4 ,these studies were associated with observations on projectiles1 regarding which ,galileo was the first to entertain correct notions4 ,according to the current idea1 a projectile fired1 for example1 from a cannon1 moved in a straight horizontal line until the propulsive force was exhausted1 and then fell to the ground in a perpendicular line4 ,galileo taught that the projectile begins to fall at once on leaving the mouth of the cannon and traverses a parabolic course4 ,according to his idea1 which is now familiar to every one1 a cannon-ball dropped from the level of the cannon's muzzle will strike the ground simultaneously with a ball fired horizontally from the cannon4 ,as to the paraboloid course pursued by the projectile1 the resistance of the air is a factor which ,galileo could not accurately compute1 and which interferes with the practical realization of his theory4 ,but this is a minor consideration4 ,the great importance of his idea consists in the recognition that such a force as that of gravitation acts in precisely the same way upon all unsupported bodies1 whether or not such bodies be at the same time acted upon by a force of translation4 ,out of these studies of moving bodies was gradually developed a correct notion of several important general laws of mechanics--laws a knowledge of which was absolutely essential to the progress of physical science4 ,the belief in the rotation of the earth made necessary a clear conception that all bodies at the surface of the earth partake of that motion quite independently of their various observed motions in relation to one another4 ,this idea was hard to grasp1 as an oft-repeated argument shows4 ,it was asserted again and again that1 if the earth rotates1 a stone dropped from the top of a tower could not fall at the foot of the tower1 since the earth's motion would sweep the tower far away from its original position while the stone is in transit4 ,this was one of the stock arguments against the earth's motion1 yet it was one that could be refuted with the greatest ease by reasoning from strictly analogous experiments4 ,it might readily be observed1 for example1 that a stone dropped from a moving cart does not strike the ground directly below the point from which it is dropped1 but partakes of the forward motion of the cart4 ,if any one doubt this he has but to jump from a moving cart to be given a practical demonstration of the fact that his entire body was in some way influenced by the motion of translation4 ,similarly1 the simple experiment of tossing a ball from the deck of a moving ship will convince any one that the ball partakes of the motion of the ship1 so that it can be manipulated precisely as if the manipulator were standing on the earth4 ,in short1 every-day experience gives us illustrations of what might be called compound motion1 which makes it seem altogether plausible that1 if the earth is in motion1 objects at its surface will partake of that motion in a way that does not interfere with any other movements to which they may be subjected4 ,as the ,copernican doctrine made its way1 this idea of compound motion naturally received more and more attention1 and such experiments as those of ,galileo prepared the way for a new interpretation of the mechanical principles involved4 ,the great difficulty was that the subject of moving bodies had all along been contemplated from a wrong point of view4 ,since force must be applied to an object to put it in motion1 it was perhaps not unnaturally assumed that similar force must continue to be applied to keep the object in motion4 ,when1 for example1 a stone is thrown from the hand1 the direct force applied necessarily ceases as soon as the projectile leaves the hand4 ,the stone1 nevertheless1 flies on for a certain distance and then falls to the ground4 ,how is this flight of the stone to be explained8 ,the ancient philosophers puzzled more than a little over this problem1 and the ,aristotelians reached the conclusion that the motion of the hand had imparted a propulsive motion to the air1 and that this propulsive motion was transmitted to the stone1 pushing it on4 ,just how the air took on this propulsive property was not explained1 and the vagueness of thought that characterized the time did not demand an explanation4 ,possibly the dying away of ripples in water may have furnished1 by analogy1 an explanation of the gradual dying out of the impulse which propels the stone4 ,all of this was1 of course1 an unfortunate maladjustment of the point of view4 ,as every one nowadays knows1 the air retards the progress of the stone1 enabling the pull of gravitation to drag it to the earth earlier than it otherwise could4 ,were the resistance of the air and the pull of gravitation removed1 the stone as projected from the hand would fly on in a straight line1 at an unchanged velocity1 forever4 ,but this fact1 which is expressed in what we now term the first law of motion1 was extremely difficult to grasp4 ,the first important step towards it was perhaps implied in ,galileo's study of falling bodies4 ,these studies1 as we have seen1 demonstrated that a half-pound weight and a hundred-pound weight fall with the same velocity4 ,it is1 however1 matter of common experience that certain bodies1 as1 for example1 feathers1 do not fall at the same rate of speed with these heavier bodies4 ,this anomaly demands an explanation1 and the explanation is found in the resistance offered the relatively light object by the air4 ,once the idea that the air may thus act as an impeding force was grasped1 the investigator of mechanical principles had entered on a new and promising course4 ,galileo could not demonstrate the retarding influence of air in the way which became familiar a generation or two later2 he could not put a feather and a coin in a vacuum tube and prove that the two would there fall with equal velocity1 because1 in his day1 the air-pump had not yet been invented4 ,the experiment was made only a generation after the time of ,galileo1 as we shall see2 but1 meantime1 the great ,italian had fully grasped the idea that atmospheric resistance plays a most important part in regard to the motion of falling and projected bodies4 ,thanks largely to his own experiments1 but partly also to the efforts of others1 he had come1 before the end of his life1 pretty definitely to realize that the motion of a projectile1 for example1 must be thought of as inherent in the projectile itself1 and that the retardation or ultimate cessation of that motion is due to the action of antagonistic forces4 ,in other words1 he had come to grasp the meaning of the first law of motion4 ,it remained1 however1 for the great ,frenchman ,descartes to give precise expression to this law two years after ,galileo's death4 ,as ,descartes expressed it in his ,principia ,philosophiae1 published in #afdd1 any body once in motion tends to go on in a straight line1 at a uniform rate of speed1 forever4 ,contrariwise1 a stationary body will remain forever at rest unless acted on by some disturbing force4 ,this all-important law1 which lies at the very foundation of all true conceptions of mechanics1 was thus worked out during the first half of the seventeenth century1 as the outcome of numberless experiments for which ,galileo's experiments with failing bodies furnished the foundation4 ,so numerous and so gradual were the steps by which the reversal of view regarding moving bodies was effected that it is impossible to trace them in detail4 ,we must be content to reflect that at the beginning of the ,galilean epoch utterly false notions regarding the subject were entertained by the very greatest philosophers--by ,galileo himself1 for example1 and by ,kepler--whereas at the close of that epoch the correct and highly illuminative view had been attained4 ,we must now consider some other experiments of ,galileo which led to scarcely less-important results4 ,the experiments in question had to do with the movements of bodies passing down an inclined plane1 and with the allied subject of the motion of a pendulum4 ,the elaborate experiments of ,galileo regarding the former subject were made by measuring the velocity of a ball rolling down a plane inclined at various angles4 ,he found that the velocity acquired by a ball was proportional to the height from which the ball descended regardless of the steepness of the incline4 ,experiments were made also with a ball rolling down a curved gutter1 the curve representing the are of a circle4 ,these experiments led to the study of the curvilinear motions of a weight suspended by a cord2 in other words1 of the pendulum4 ,regarding the motion of the pendulum1 some very curious facts were soon ascertained4 ,galileo found1 for example1 that a pendulum of a given length performs its oscillations with the same frequency though the arc described by the pendulum be varied greatly47#a7 ,he found1 also1 that the rate of oscillation for pendulums of different lengths varies according to a simple law4 ,in order that one pendulum shall oscillate one-half as fast as another1 the length of the pendulums must be as four to one4 ,similarly1 by lengthening the pendulums nine times1 the oscillation is reduced to one-third1 ,in other words1 the rate of oscillation of pendulums varies inversely as the square of their length4 ,here1 then1 is a simple relation between the motions of swinging bodies which suggests the relation which ,kepler bad discovered between the relative motions of the planets4 ,every such discovery coming in this age of the rejuvenation of experimental science had a peculiar force in teaching men the all-important lesson that simple laws lie back of most of the diverse phenomena of nature1 if only these laws can be discovered4 ,galileo further observed that his pendulum might be constructed of any weight sufficiently heavy readily to overcome the atmospheric resistance1 and that1 with this qualification1 neither the weight nor the material had any influence upon the time of oscillation1 this being solely determined by the length of the cord4 ,naturally1 the practical utility of these discoveries was not overlooked by ,galileo4 ,since a pendulum of a given length oscillates with unvarying rapidity1 here is an obvious means of measuring time4 ,galileo1 however1 appears not to have met with any great measure of success in putting this idea into practice4 ,it remained for the mechanical ingenuity of ,huyghens to construct a satisfactory pendulum clock4 ,as a theoretical result of the studies of rolling and oscillating bodies1 there was developed what is usually spoken of as the third law of motion--namely1 the law that a given force operates upon a moving body with an effect proportionate to its effect upon the same body when at rest4 ,or1 as ,whewell states the law3 ,the dynamical effect of force is as the statical effect2 that is1 the velocity which any force generates in a given time1 when it puts the body in motion1 is proportional to the pressure which this same force produces in a body at rest47#b7 ,according to the second law of motion1 each one of the different forces1 operating at the same time upon a moving body1 produces the same effect as if it operated upon the body while at rest4 ,,stevinus ,,and ,,the ,,law ,,of ,,equilibrium ,it appears1 then1 that the mechanical studies of ,galileo1 taken as a whole1 were nothing less than revolutionary4 ,they constituted the first great advance upon the dynamic studies of ,archimedes1 and then led to the secure foundation for one of the most important of modern sciences4 ,we shall see that an important company of students entered the field immediately after the time of ,galileo1 and carried forward the work he had so well begun4 ,but before passing on to the consideration of their labors1 we must consider work in allied fields of two men who were contemporaries of ,galileo and whose original labors were in some respects scarcely less important than his own4 ,these men are the ,dutchman ,stevinus1 who must always be remembered as a co-laborer with ,galileo in the foundation of the science of dynamics1 and the ,englishman ,gilbert1 to whom is due the unqualified praise of first subjecting the phenomenon of magnetism to a strictly scientific investigation4 ,stevinus was born in the year #aedh1 and died in #afbj4 ,he was a man of a practical genius1 and he attracted the attention of his non-scientific contemporaries1 among other ways1 by the construction of a curious land-craft1 which1 mounted on wheels1 was to be propelled by sails like a boat4 ,not only did he write a book on this curious horseless carriage1 but he put his idea into practical application1 producing a vehicle which actually traversed the distance between ,scheveningen and ,petton1 with no fewer than twenty-seven passengers1 one of them being ,prince ,maurice of ,orange4 ,this demonstration was made about the year #afjj4 ,it does not appear1 however1 that any important use was made of the strange vehicle2 but the man who invented it put his mechanical ingenuity to other use with better effect4 ,it was he who solved the problem of oblique forces1 and who discovered the important hydrostatic principle that the pressure of fluids is proportionate to their depth1 without regard to the shape of the including vessel4 ,the study of oblique forces was made by ,stevinus with the aid of inclined planes4 ,his most demonstrative experiment was a very simple one1 in which a chain of balls of equal weight was hung from a triangle2 the triangle being so constructed as to rest on a horizontal base1 the oblique sides bearing the relation to each other of two to one4 ,stevinus found that his chain of balls just balanced when four balls were on the longer side and two on the shorter and steeper side4 ,the balancing of force thus brought about constituted a stable equilibrium1 ,stevinus being the first to discriminate between such a condition and the unbalanced condition called unstable equilibrium4 ,by this simple experiment was laid the foundation of the science of statics4 ,stevinus had a full grasp of the principle which his experiment involved1 and he applied it to the solution of oblique forces in all directions4 ,earlier investigations of ,stevinus were published in #afjh4 ,his collected works were published at ,leyden in #afcd4 ,this study of the equilibrium of pressure of bodies at rest led ,stevinus1 not unnaturally1 to consider the allied subject of the pressure of liquids4 ,he is to be credited with the explanation of the so-called hydrostatic paradox4 ,the familiar modern experiment which illustrates this paradox is made by inserting a long perpendicular tube of small caliber into the top of a tight barrel4 ,on filling the barrel and tube with water1 it is possible to produce a pressure which will burst the barrel1 though it be a strong one1 and though the actual weight of water in the tube is comparatively insignificant4 ,this illustrates the fact that the pressure at the bottom of a column of liquid is proportionate to the height of the column1 and not to its bulk1 this being the hydrostatic paradox in question4 ,the explanation is that an enclosed fluid under pressure exerts an equal force upon all parts of the circumscribing wall2 the aggregate pressure may1 therefore1 be increased indefinitely by increasing the surface4 ,it is this principle1 of course1 which is utilized in the familiar hydrostatic press4 ,theoretical explanations of the pressure of liquids were supplied a generation or two later by numerous investigators1 including ,newton1 but the practical refoundation of the science of hydrostatics in modern times dates from the experiments of ,stevinus4 ,,galileo ,,and ,,the ,,equilibrium ,,of ,,fluids ,experiments of an allied character1 having to do with the equilibrium of fluids1 exercised the ingenuity of ,galileo4 ,some of his most interesting experiments have to do with the subject of floating bodies4 ,it will be recalled that ,archimedes1 away back in the ,alexandrian epoch1 had solved the most important problems of hydrostatic equilibrium4 ,now1 however1 his experiments were overlooked or forgotten1 and ,galileo was obliged to make experiments anew1 and to combat fallacious views that ought long since to have been abandoned4 ,perhaps the most illuminative view of the spirit of the times can be gained by quoting at length a paper of ,galileo's1 in which he details his own experiments with floating bodies and controverts the views of his opponents4 ,the paper has further value as illustrating ,galileo's methods both as experimenter and as speculative reasoner4 ,the current view1 which ,galileo here undertakes to refute1 asserts that water offers resistance to penetration1 and that this resistance is instrumental in determining whether a body placed in water will float or sink4 ,galileo contends that water is non-resistant1 and that bodies float or sink in virtue of their respective weights4 ,this1 of course1 is merely a restatement of the law of ,archimedes4 ,but it remains to explain the fact that bodies of a certain shape will float1 while bodies of the same material and weight1 but of a different shape1 will sink4 ,we shall see what explanation ,galileo finds of this anomaly as we proceed4 ,in the first place1 ,galileo makes a cone of wood or of wax1 and shows that when it floats with either its point or its base in the water1 it displaces exactly the same amount of fluid1 although the apex is by its shape better adapted to overcome the resistance of the water1 if that were the cause of buoyancy4 ,again1 the experiment may be varied by tempering the wax with filings of lead till it sinks in the water1 when it will be found that in any figure the same quantity of cork must be added to it to raise the surface4 ,but1 says ,galileo1 this silences not my antagonists2 they say that all the discourse hitherto made by me imports little to them1 and that it serves their turn2 that they have demonstrated in one instance1 and in such manner and figure as pleases them best--namely1 in a board and in a ball of ebony--that one when put into the water sinks to the bottom1 and that the other stays to swim on the top2 and the matter being the same1 and the two bodies differing in nothing but in figure1 they affirm that with all perspicuity they have demonstrated and sensibly manifested what they undertook4 ,nevertheless1 ,i believe1 and think ,i can prove1 that this very experiment proves nothing against my theory4 ,and first1 it is false that the ball sinks and the board not2 for the board will sink1 too1 if you do to both the figures as the words of our question require2 that is1 if you put them both in the water2 for to be in the water implies to be placed in the water1 and by ,aristotle's own definition of place1 to be placed imports to be environed by the surface of the ambient body2 but when my antagonists show the floating board of ebony1 they put it not into the water1 but upon the water2 where1 being detained by a certain impediment 7of which more anon71 it is surrounded1 partly with water1 partly with air1 which is contrary to our agreement1 for that was that bodies should be in the water1 and not part in the water1 part in the air4 ,i will not omit another reason1 founded also upon experience1 and1 if ,i deceive not myself1 conclusive against the notion that figure1 and the resistance of the water to penetration1 have anything to do with the buoyancy of bodies4 ,choose a piece of wood or other matter1 as1 for instance1 walnut-wood1 of which a ball rises from the bottom of the water to the surface more slowly than a ball of ebony of the same size sinks1 so that1 clearly1 the ball of ebony divides the water more readily in sinking than the ball of wood does in rising4 ,then take a board of walnut-tree equal to and like the floating one of my antagonists2 and if it be true that this latter floats by reason of the figure being unable to penetrate the water1 the other of walnut-tree1 without a question1 if thrust to the bottom1 ought to stay there1 as having the same impeding figure1 and being less apt to overcome the said resistance of the water4 ,but if we find by experience that not only the thin board1 but every other figure of the same walnut-tree1 will return to float1 as unquestionably we shall1 then ,i must desire my opponents to forbear to attribute the floating of the ebony to the figure of the board1 since the resistance of the water is the same in rising as in sinking1 and the force of ascension of the walnut-tree is less than the ebony's force for going to the bottom4 ,now let us return to the thin plate of gold or silver1 or the thin board of ebony1 and let us lay it lightly upon the water1 so that it may stay there without sinking1 and carefully observe the effect4 ,it will appear clearly that the plates are a considerable matter lower than the surface of the water1 which rises up and makes a kind of rampart round them on every side4 ,but if it has already penetrated and overcome the continuity of the water1 and is of its own nature heavier than the water1 why does it not continue to sink1 but stop and suspend itself in that little dimple that its weight has made in the water8 ,my answer is1 because in sinking till its surface is below the water1 which rises up in a bank round it1 it draws after and carries along with it the air above it1 so that that which1 in this case1 descends in the water is not only the board of ebony or the plate of iron1 but a compound of ebony and air1 from which composition results a solid no longer specifically heavier than the water1 as was the ebony or gold alone4 ,but1 gentlemen1 we want the same matter2 you are to alter nothing but the shape1 and1 therefore1 have the goodness to remove this air1 which may be done simply by washing the surface of the board1 for the water having once got between the board and the air will run together1 and the ebony will go to the bottom2 and if it does not1 you have won the day4 ,but methinks ,i hear some of my antagonists cunningly opposing this1 and telling me that they will not on any account allow their boards to be wetted1 because the weight of the water so added1 by making it heavier than it was before1 draws it to the bottom1 and that the addition of new weight is contrary to our agreement1 which was that the matter should be the same4 ,to this ,i answer1 first1 that nobody can suppose bodies to be put into the water without their being wet1 nor do ,i wish to do more to the board than you may do to the ball4 ,moreover1 it is not true that the board sinks on account of the weight of the water added in the washing2 for ,i will put ten or twenty drops on the floating board1 and so long as they stand separate it shall not sink2 but if the board be taken out and all that water wiped off1 and the whole surface bathed with one single drop1 and put it again upon the water1 there is no question but it will sink1 the other water running to cover it1 being no longer hindered by the air4 ,in the next place1 it is altogether false that water can in any way increase the weight of bodies immersed in it1 for water has no weight in water1 since it does not sink4 ,now just as he who should say that brass by its own nature sinks1 but that when formed into the shape of a kettle it acquires from that figure the virtue of lying in water without sinking1 would say what is false1 because that is not purely brass which then is put into the water1 but a compound of brass and air2 so is it neither more nor less false that a thin plate of brass or ebony swims by virtue of its dilated and broad figure4 ,also1 ,i cannot omit to tell my opponents that this conceit of refusing to bathe the surface of the board might beget an opinion in a third person of a poverty of argument on their side1 especially as the conversation began about flakes of ice1 in which it would be simple to require that the surfaces should be kept dry2 not to mention that such pieces of ice1 whether wet or dry1 always float1 and so my antagonists say1 because of their shape4 ,some may wonder that ,i affirm this power to be in the air of keeping plate of brass or silver above water1 as if in a certain sense ,i would attribute to the air a kind of magnetic virtue for sustaining heavy bodies with which it is in contact4 ,to satisfy all these doubts ,i have contrived the following experiment to demonstrate how truly the air does support these bodies2 for ,i have found1 when one of these bodies which floats when placed lightly on the water is thoroughly bathed and sunk to the bottom1 that by carrying down to it a little air without otherwise touching it in the least1 ,i am able to raise and carry it back to the top1 where it floats as before4 ,to this effect1 ,i take a ball of wax1 and with a little lead make it just heavy enough to sink very slowly to the bottom1 taking care that its surface be quite smooth and even4 ,this1 if put gently into the water1 submerges almost entirely1 there remaining visible only a little of the very top1 which1 so long as it is joined to the air1 keeps the ball afloat2 but if we take away the contact of the air by wetting this top1 the ball sinks to the bottom and remains there4 ,now to make it return to the surface by virtue of the air which before sustained it1 thrust into the water a glass with the mouth downward1 which will carry with it the air it contains1 and move this down towards the ball until you see1 by the transparency of the glass1 that the air has reached the top of it2 then gently draw the glass upward1 and you will see the ball rise1 and afterwards stay on the top of the water1 if you carefully part the glass and water without too much disturbing it47#c7 ,it will be seen that ,galileo1 while holding in the main to a correct thesis1 yet mingles with it some false ideas4 ,at the very outset1 of course1 it is not true that water has no resistance to penetration2 it is true1 however1 in the sense in which ,galileo uses the term--that is to say1 the resistance of the water to penetration is not the determining factor ordinarily in deciding whether a body sinks or floats4 ,yet in the case of the flat body it is not altogether inappropriate to say that the water resists penetration and thus supports the body4 ,the modern physicist explains the phenomenon as due to surface-tension of the fluid4 ,of course1 ,galileo's disquisition on the mixing of air with the floating body is utterly fanciful4 ,his experiments were beautifully exact2 his theorizing from them was1 in this instance1 altogether fallacious4 ,thus1 as already intimated1 his paper is admirably adapted to convey a double lesson to the student of science4 ,,william ,,gilbert ,,and ,,the ,,study ,,of ,,magnetism ,it will be observed that the studies of ,galileo and ,stevinus were chiefly concerned with the force of gravitation4 ,meanwhile1 there was an ,english philosopher of corresponding genius1 whose attention was directed towards investigation of the equally mysterious force of terrestrial magnetism4 ,with the doubtful exception of ,bacon1 ,gilbert was the most distinguished man of science in ,england during the reign of ,queen ,elizabeth4 ,he was for many years court physician1 and ,queen ,elizabeth ultimately settled upon him a pension that enabled him to continue his researches in pure science4 ,his investigations in chemistry1 although supposed to be of great importance1 are mostly lost2 but his great work1 ,de ,magnete1 on which he labored for upwards of eighteen years1 is a work of sufficient importance1 as ,hallam says1 to raise a lasting reputation for its author4 ,from its first appearance it created a profound impression upon the learned men of the continent1 although in ,england ,gilbert's theories seem to have been somewhat less favorably received4 ,galileo freely expressed his admiration for the work and its author2 ,bacon1 who admired the author1 did not express the same admiration for his theories2 but ,dr4 ,priestley1 later1 declared him to be the father of modern electricity4 ,strangely enough1 ,gilbert's book had never been translated into ,english1 or apparently into any other language1 until recent years1 although at the time of its publication certain learned men1 unable to read the book in the original1 had asked that it should be4 ,by this neglect1 or oversight1 a great number of general readers as well as many scientists1 through succeeding centuries1 have been deprived of the benefit of writings that contained a good share of the fundamental facts about magnetism as known to-day4 ,gilbert was the first to discover that the earth is a great magnet1 and he not only gave the name of pole to the extremities of the magnetic needle1 but also spoke of these poles as north and south pole1 although he used these names in the opposite sense from that in which we now use them1 his south pole being the extremity which pointed towards the north1 and vice versa4 ,he was also first to make use of the terms electric force1 electric emanations1 and electric attractions4 ,it is hardly necessary to say that some of the views taken by ,gilbert1 many of his theories1 and the accuracy of some of his experiments have in recent times been found to be erroneous4 ,as a pioneer in an unexplored field of science1 however1 his work is remarkably accurate4 ,on the whole1 says ,dr4 ,john ,robinson1 this performance contains more real information than any writing of the age in which he lived1 and is scarcely exceeded by any that has appeared since47#d7 ,in the preface to his work ,gilbert says3 ,since in the discovery of secret things1 and in the investigation of hidden causes1 stronger reasons are obtained from sure experiments and demonstrated arguments than from probable conjectures and the opinions of philosophical speculators of the common sort1 therefore1 to the end of that noble substance of that great loadstone1 our common mother 7the earth71 still quite unknown1 and also that the forces extraordinary and exalted of this globe may the better be understood1 we have decided1 first1 to begin with the common stony and ferruginous matter1 and magnetic bodies1 and the part of the earth that we may handle and may perceive with senses1 and then to proceed with plain magnetic experiments1 and to penetrate to the inner parts of the earth47#e7 ,before taking up the demonstration that the earth is simply a giant loadstone1 ,gilbert demonstrated in an ingenious way that every loadstone1 of whatever size1 has definite and fixed poles4 ,he did this by placing the stone in a metal lathe and converting it into a sphere1 and upon this sphere demonstrated how the poles can be found4 ,to this round loadstone he gave the name of terrella--that is1 little earth4 ,to find1 then1 poles answering to the earth1 he says1 take in your hand the round stone1 and lay on it a needle or a piece of iron wire3 the ends of the wire move round their middle point1 and suddenly come to a standstill4 ,now1 with ochre or with chalk1 mark where the wire lies still and sticks4 ,then move the middle or centre of the wire to another spot1 and so to a third and fourth1 always marking the stone along the length of the wire where it stands still2 the lines so marked will exhibit meridian circles1 or circles like meridians1 on the stone or terrella2 and manifestly they will all come together at the poles of the stone4 ,the circle being continued in this way1 the poles appear1 both the north and the south1 and betwixt these1 midway1 we may draw a large circle for an equator1 as is done by the astronomer in the heavens and on his spheres1 and by the geographer on the terrestrial globe47#f7 ,gilbert had tried the familiar experiment of placing the loadstone on a float in water1 and observed that the poles always revolved until they pointed north and south1 which he explained as due to the earth's magnetic attraction4 ,in this same connection he noticed that a piece of wrought iron mounted on a cork float was attracted by other metals to a slight degree1 and he observed also that an ordinary iron bar1 if suspended horizontally by a thread1 assumes invariably a north and south direction4 ,these1 with many other experiments of a similar nature1 convinced him that the earth is a magnet and a loadstone1 which he says is a new and till now unheard-of view of the earth4 ,fully to appreciate ,gilbert's revolutionary views concerning the earth as a magnet1 it should be remembered that numberless theories to explain the action of the electric needle had been advanced4 ,columbus and ,paracelsus1 for example1 believed that the magnet was attracted by some point in the heavens1 such as a magnetic star4 ,gilbert himself tells of some of the beliefs that had been held by his predecessors1 many of whom he declares wilfully falsify4 ,one of his first steps was to refute by experiment such assertions as that of ,cardan1 that a wound by a magnetized needle was painless2 and also the assertion of ,fracastoni that loadstone attracts silver2 or that of ,scalinger1 that the diamond will attract iron2 and the statement of ,matthiolus that iron rubbed with garlic is no longer attracted to the loadstone4 ,gilbert made extensive experiments to explain the dipping of the needle1 which had been first noticed by ,william ,norman4 ,his deduction as to this phenomenon led him to believe that this was also explained by the magnetic attraction of the earth1 and to predict where the vertical dip would be found4 ,these deductions seem the more wonderful because at the time he made them the dip had just been discovered1 and had not been studied except at ,london4 ,his theory of the dip was1 therefore1 a scientific prediction1 based on a preconceived hypothesis4 ,gilbert found the dip to be #gb degrees at ,london2 eight years later ,hudson found the dip at #ge degrees #bb' north latitude to be #hi degrees #cj'2 but it was not until over two hundred years later1 in #ahca1 that the vertical dip was first observed by ,sir ,james ,ross at about #gj degrees #e' north latitude1 and #if degrees #dc' west longitude4 ,this was not the exact point assumed by ,gilbert1 and his scientific predictions1 therefore1 were not quite correct2 but such comparatively slight and excusable errors mar but little the excellence of his work as a whole4 ,a brief epitome of some of his other important discoveries suffices to show that the exalted position in science accorded him by contemporaries1 as well as succeeding generations of scientists1 was well merited4 ,he was first to distinguish between magnetism and electricity1 giving the latter its name4 ,he discovered also the electrical charge1 and pointed the way to the discovery of insulation by showing that the charge could be retained some time in the excited body by covering it with some non-conducting substance1 such as silk2 although1 of course1 electrical conduction can hardly be said to have been more than vaguely surmised1 if understood at all by him4 ,the first electrical instrument ever made1 and known as such1 was invented by him1 as was also the first magnetometer1 and the first electrical indicating device4 ,although three centuries have elapsed since his death1 the method of magnetizing iron first introduced by him is in common use to-day4 ,he made exhaustive experiments with a needle balanced on a pivot to see how many substances he could find which1 like amber1 on being rubbed affected the needle4 ,in this way he discovered that light substances were attracted by alum1 mica1 arsenic1 sealing-wax1 lac sulphur1 slags1 beryl1 amethyst1 rock-crystal1 sapphire1 jet1 carbuncle1 diamond1 opal1 ,bristol stone1 glass1 glass of antimony1 gum-mastic1 hard resin1 rock-salt1 and1 of course1 amber4 ,he discovered also that atmospheric conditions affected the production of electricity1 dryness being unfavorable and moisture favorable4 ,galileo's estimate of this first electrician is the verdict of succeeding generations4 ,i extremely admire and envy this author1 he said4 ,i think him worthy of the greatest praise for the many new and true observations which he has made1 to the disgrace of so many vain and fabling authors4 ,,studies ,,of ,,light1 ,,heat1 ,,and ,,atmospheric ,,pressure ,we have seen that ,gilbert was by no means lacking in versatility1 yet the investigations upon which his fame is founded were all pursued along one line1 so that the father of magnetism may be considered one of the earliest of specialists in physical science4 ,most workers of the time1 on the other band1 extended their investigations in many directions4 ,the sum total of scientific knowledge of that day had not bulked so large as to exclude the possibility that one man might master it all4 ,so we find a ,galileo1 for example1 making revolutionary discoveries in astronomy1 and performing fundamental experiments in various fields of physics4 ,galileo's great contemporary1 ,kepler1 was almost equally versatile1 though his astronomical studies were of such pre-eminent importance that his other investigations sink into relative insignificance4 ,yet he performed some notable experiments in at least one department of physics4 ,these experiments had to do with the refraction of light1 a subject which ,kepler was led to investigate1 in part at least1 through his interest in the telescope4 ,we have seen that ,ptolemy in the ,alexandrian time1 and ,alhazen1 the ,arab1 made studies of refraction4 ,kepler repeated their experiments1 and1 striving as always to generalize his observations1 he attempted to find the law that governed the observed change of direction which a ray of light assumes in passing from one medium to another4 ,kepler measured the angle of refraction by means of a simple yet ingenious trough-like apparatus which enabled him to compare readily the direct and refracted rays4 ,he discovered that when a ray of light passes through a glass plate1 if it strikes the farther surface of the glass at an angle greater than #de degrees it will be totally refracted instead of passing through into the air4 ,he could not well fail to know that different mediums refract light differently1 and that for the same medium the amount of light valies with the change in the angle of incidence4 ,he was not able1 however1 to generalize his observations as he desired1 and to the last the law that governs refraction escaped him4 ,it remained for ,willebrord ,snell1 a ,dutchman1 about the year #afba1 to discover the law in question1 and for ,descartes1 a little later1 to formulate it4 ,descartes1 indeed1 has sometimes been supposed to be the discoverer of the law4 ,there is reason to believe that he based his generalizations on the experiment of ,snell1 though he did not openly acknowledge his indebtedness4 ,the law1 as ,descartes expressed it1 states that the sine of the angle of incidence bears a fixed ratio to the sine of the angle of refraction for any given medium4 ,here1 then1 was another illustration of the fact that almost infinitely varied phenomena may be brought within the scope of a simple law4 ,once the law had been expressed1 it could be tested and verified with the greatest ease2 and1 as usual1 the discovery being made1 it seems surprising that earlier investigators--in particular so sagacious a guesser as ,kepler--should have missed it4 ,galileo himself must have been to some extent a student of light1 since1 as we have seen1 he made such notable contributions to practical optics through perfecting the telescope2 but he seems not to have added anything to the theory of light4 ,the subject of heat1 however1 attracted his attention in a somewhat different way1 and he was led to the invention of the first contrivance for measuring temperatures4 ,his thermometer was based on the afterwards familiar principle of the expansion of a liquid under the influence of heat2 but as a practical means of measuring temperature it was a very crude affair1 because the tube that contained the measuring liquid was exposed to the air1 hence barometric changes of pressure vitiated the experiment4 ,it remained for ,galileo's ,italian successors of the ,accademia del ,cimento of ,florence to improve upon the apparatus1 after the experiments of ,torricelli--to which we shall refer in a moment--had thrown new light on the question of atmospheric pressure4 ,still later the celebrated ,huygens hit upon the idea of using the melting and the boiling point of water as fixed points in a scale of measurements1 which first gave definiteness to thermometric tests4 ,,torricelli ,in the closing years of his life ,galileo took into his family1 as his adopted disciple in science1 a young man1 ,evangelista ,torricelli 7#afjh-afdg71 who proved himself1 during his short lifetime1 to be a worthy follower of his great master4 ,not only worthy on account of his great scientific discoveries1 but grateful as well1 for when he had made the great discovery that the suction made by a vacuum was really nothing but air pressure1 and not suction at all1 he regretted that so important a step in science might not have been made by his great teacher1 ,galileo1 instead of by himself4 ,this generosity of ,torricelli1 says ,playfair1 was1 perhaps1 rarer than his genius3 there are more who might have discovered the suspension of mercury in the barometer than who would have been willing to part with the honor of the discovery to a master or a friend4 ,torricelli's discovery was made in #afdc1 less than two years after the death of his master4 ,galileo had observed that water will not rise in an exhausted tube1 such as a pump1 to a height greater than thirty-three feet1 but he was never able to offer a satisfactory explanation of the principle4 ,torricelli was able to demonstrate that the height at which the water stood depended upon nothing but its weight as compared with the weight of air4 ,if this be true1 it is evident that any fluid will be supported at a definite height1 according to its relative weight as compared with air4 ,thus mercury1 which is about thirteen times more dense than water1 should only rise to one-thirteenth the height of a column of water--that is1 about thirty inches4 ,reasoning in this way1 ,torricelli proceeded to prove that his theory was correct4 ,filling a long tube1 closed at one end1 with mercury1 he inverted the tube with its open orifice in a vessel of mercury4 ,the column of mercury fell at once1 but at a height of about thirty inches it stopped and remained stationary1 the pressure of the air on the mercury in the vessel maintaining it at that height4 ,this discovery was a shattering blow to the old theory that had dominated that field of physics for so many centuries4 ,it was completely revolutionary to prove that1 instead of a mysterious something within the tube being responsible for the suspension of liquids at certain heights1 it was simply the ordinary atmospheric pressure mysterious enough1 it is true--pushing upon them from without4 ,the pressure exerted by the atmosphere was but little understood at that time1 but ,torricelli's discovery aided materially in solving the mystery4 ,the whole class of similar phenomena of air pressure1 which had been held in the trammel of long-established but false doctrines1 was now reduced to one simple law1 and the door to a solution of a host of unsolved problems thrown open4 ,it had long been suspected and believed that the density of the atmosphere varies at certain times4 ,that the air is sometimes heavy and at other times light is apparent to the senses without scientific apparatus for demonstration4 ,it is evident1 then1 that ,torricelli's column of mercury should rise and fall just in proportion to the lightness or heaviness of the air4 ,a short series of observations proved that it did so1 and with those observations went naturally the observations as to changes in the weather4 ,it was only necessary1 therefore1 to scratch a scale on the glass tube1 indicating relative atmospheric pressures1 and the ,torricellian barometer was complete4 ,such a revolutionary theory and such an important discovery were1 of course1 not to be accepted without controversy1 but the feeble arguments of the opponents showed how untenable the old theory had become4 ,in #afdh ,pascal suggested that if the theory of the pressure of air upon the mercury was correct1 it could be demonstrated by ascending a mountain with the mercury tube4 ,as the air was known to get progressively lighter from base to summit1 the height of the column should be progressively lessened as the ascent was made1 and increase again on the descent into the denser air4 ,the experiment was made on the mountain called the ,puy-de-,dome1 in ,auvergne1 and the column of mercury fell and rose progressively through a space of about three inches as the ascent and descent were made4 ,this experiment practically sealed the verdict on the new theory1 but it also suggested something more4 ,if the mercury descended to a certain mark on the scale on a mountain-top whose height was known1 why was not this a means of measuring the heights of all other elevations8 ,and so the beginning was made which1 with certain modifications and corrections in details1 is now the basis of barometrical measurements of heights4 ,in hydraulics1 also1 ,torricelli seems to have taken one of the first steps4 ,he did this by showing that the water which issues from a hole in the side or bottom of a vessel does so at the same velocity as that which a body would acquire by falling from the level of the surface of the water to that of the orifice4 ,this discovery was of the greatest importance to a correct understanding of the science of the motions of fluids4 ,he also discovered the valuable mechanical principle that if any number of bodies be connected so that by their motion there is neither ascent nor descent of their centre of gravity1 these bodies are in equilibrium4 ,besides making these discoveries1 he greatly improved the microscope and the telescope1 and invented a simple microscope made of a globule of glass4 ,in #afdd he published a tract on the properties of the cycloid in which he suggested a solution of the problem of its quadrature4 ,as soon as this pamphlet appeared its author was accused by ,gilles ,roberval 7#afjb-afge7 of having appropriated a solution already offered by him4 ,this led to a long debate1 during which ,torricelli was seized with a fever1 from the effects of which he died1 in ,florence1 ,october #be1 #afdg4 ,there is reason to believe1 however1 that while ,roberval's discovery was made before ,torricelli's1 the latter reached his conclusions independently4 ,,vi4 ,,two ,,pseudo-,,sciences--,,alchemy ,,and ,,astrology ,in recent chapters we have seen science come forward with tremendous strides4 ,a new era is obviously at hand4 ,but we shall misconceive the spirit of the times if we fail to understand that in the midst of all this progress there was still room for mediaeval superstition and for the pursuit of fallacious ideals4 ,two forms of pseudo-science were peculiarly prevalent--alchemy and astrology4 ,neither of these can with full propriety be called a science1 yet both were pursued by many of the greatest scientific workers of the period4 ,moreover1 the studies of the alchemist may with some propriety be said to have laid the foundation for the latter-day science of chemistry2 while astrology was closely allied to astronomy1 though its relations to that science are not as intimate as has sometimes been supposed4 ,just when the study of alchemy began is undetermined4 ,it was certainly of very ancient origin1 perhaps ,egyptian1 but its most flourishing time was from about the eighth century ,a4,d4 to the eighteenth century4 ,the stories of the ,old ,testament formed a basis for some of the strange beliefs regarding the properties of the magic elixir1 or philosopher's stone4 ,alchemists believed that most of the antediluvians1 perhaps all of them1 possessed a knowledge of this stone4 ,how1 otherwise1 could they have prolonged their lives to nine and a half centuries8 ,and ,moses was surely a first-rate alchemist1 as is proved by the story of the ,golden ,calf47#a7 ,after ,aaron had made the calf of gold1 ,moses performed the much more difficult task of grinding it to powder and strewing it upon the waters1 thus showing that he had transmuted it into some lighter substance4 ,but antediluvians and ,biblical characters were not the only persons who were thought to have discovered the coveted elixir4 ,hundreds of aged mediaeval chemists were credited with having made the discovery1 and were thought to be living on through the centuries by its means4 ,alaies de ,lisle1 for example1 who died in #abih1 at the age of #aaj1 was alleged to have been at the point of death at the age of fifty1 but just at this time he made the fortunate discovery of the magic stone1 and so continued to live in health and affluence for sixty years more4 ,and ,de ,lisle was but one case among hundreds4 ,an aged and wealthy alchemist could claim with seeming plausibility that he was prolonging his life by his magic2 whereas a younger man might assert that1 knowing the great secret1 he was keeping himself young through the centuries4 ,in either case such a statement1 or rumor1 about a learned and wealthy alchemist was likely to be believed1 particularly among strangers2 and as such a man would1 of course1 be the object of much attention1 the claim was frequently made by persons seeking notoriety4 ,one of the most celebrated of these impostors was a certain ,count de ,saint-,germain1 who was connected with the court of ,louis ,,xv4 ,his statements carried the more weight because1 having apparently no means of maintenance1 he continued to live in affluence year after year--for two thousand years1 as he himself admitted--by means of the magic stone4 ,if at any time his statements were doubted1 he was in the habit of referring to his valet for confirmation1 this valet being also under the influence of the elixir of life4 ,upon one occasion his master was telling a party of ladies and gentlemen1 at dinner1 some conversation he had had in ,palestine1 with ,king ,richard ,i41 of ,england1 whom he described as a very particular friend of his4 ,signs of astonishment and incredulity were visible on the faces of the company1 upon which ,saint-,germain very coolly turned to his servant1 who stood behind his chair1 and asked him if he had not spoken the truth4 ',i really cannot say1' replied the man1 without moving a muscle2 'you forget1 sir1 ,i have been only five hundred years in your service4' ',ah1 true1' said his master1 ',i remember now2 it was a little before your time6'7#b7 ,in the time of ,saint-,germain1 only a little over a century ago1 belief in alchemy had almost disappeared1 and his extraordinary tales were probably regarded in the light of amusing stories4 ,still there was undoubtedly a lingering suspicion in the minds of many that this man possessed some peculiar secret4 ,a few centuries earlier his tales would hardly have been questioned1 for at that time the belief in the existence of this magic something was so strong that the search for it became almost a form of mania2 and once a man was seized with it1 lie gambled away health1 position1 and life itself in pursuing the coveted stake4 ,an example of this is seen in ,albertus ,magnus1 one of the most learned men of his time1 who it is said resigned his position as bishop of ,ratisbon in order that he might pursue his researches in alchemy4 ,if self-sacrifice was not sufficient to secure the prize1 crime would naturally follow1 for there could be no limit to the price of the stakes in this game4 ,the notorious ,marechal de ,reys1 failing to find the coveted stone by ordinary methods of laboratory research1 was persuaded by an impostor that if he would propitiate the friendship of the devil the secret would be revealed4 ,to this end ,de ,reys began secretly capturing young children as they passed his castle and murdering them4 ,when he was at last brought to justice it was proved that he had murdered something like a hundred children within a period of three years4 ,so1 at least1 runs one version of the story of this perverted being4 ,naturally monarchs1 constantly in need of funds1 were interested in these alchemists4 ,even sober ,england did not escape1 and ,raymond ,lully1 one of the most famous of the thirteenth and fourteenth century alchemists1 is said to have been secretly invited by ,king ,edward ,i4 7or ,,ii47 to leave ,milan and settle in ,england4 ,according to some accounts1 apartments were assigned to his use in the ,tower of ,london1 where he is alleged to have made some six million pounds sterling for the monarch1 out of iron1 mercury1 lead1 and pewter4 ,pope ,john ,,xxii41 a friend and pupil of the alchemist ,arnold de ,villeneuve1 is reported to have learned the secrets of alchemy from his master4 ,later he issued two bulls against pretenders in the art1 which1 far from showing his disbelief1 were cited by alchemists as proving that he recognized pretenders as distinct from true masters of magic4 ,to moderns the attitude of mind of the alchemist is difficult to comprehend4 ,it is1 perhaps1 possible to conceive of animals or plants possessing souls1 but the early alchemist attributed the same thing--or something kin to it--to metals also4 ,furthermore1 just as plants germinated from seeds1 so metals were supposed to germinate also1 and hence a constant growth of metals in the ground4 ,to prove this the alchemist cited cases where previously exhausted gold-mines were found1 after a lapse of time1 to contain fresh quantities of gold4 ,the seed of the remaining particles of gold had multiplied and increased4 ,but this germinating process could only take place under favorable conditions1 just as the seed of a plant must have its proper surroundings before germinating2 and it was believed that the action of the philosopher's stone was to hasten this process1 as man may hasten the growth of plants by artificial means4 ,gold was looked upon as the most perfect metal1 and all other metals imperfect1 because not yet purified4 ,by some alchemists they were regarded as lepers1 who1 when cured of their leprosy1 would become gold4 ,and since nature intended that all things should be perfect1 it was the aim of the alchemist to assist her in this purifying process1 and incidentally to gain wealth and prolong his life4 ,by other alchemists the process of transition from baser metals into gold was conceived to be like a process of ripening fruit4 ,the ripened product was gold1 while the green fruit1 in various stages of maturity1 was represented by the base metals4 ,silver1 for example1 was more nearly ripe than lead2 but the difference was only one of digestion1 and it was thought that by further digestion lead might first become silver and eventually gold4 ,in other words1 ,nature had not completed her work1 and was wofully slow at it at best2 but man1 with his superior faculties1 was to hasten the process in his laboratories--if he could but hit upon the right method of doing so4 ,it should not be inferred that the alchemist set about his task of assisting nature in a haphazard way1 and without training in the various alchemic laboratory methods4 ,on the contrary1 he usually served a long apprenticeship in the rudiments of his calling4 ,he was obliged to learn1 in a general way1 many of the same things that must be understood in either chemical or alchemical laboratories4 ,the general knowledge that certain liquids vaporize at lower temperatures than others1 and that the melting-points of metals differ greatly1 for example1 was just as necessary to alchemy as to chemistry4 ,the knowledge of the gross structure1 or nature1 of materials was much the same to the alchemist as to the chemist1 and1 for that matter1 many of the experiments in calcining1 distilling1 etc41 were practically identical4 ,to the alchemist there were three principles--salt1 sulphur1 and mercury--and the sources of these principles were the four elements--earth1 water1 fire1 and air4 ,these four elements were accountable for every substance in nature4 ,some of the experiments to prove this were so illusive1 and yet apparently so simple1 that one is not surprised that it took centuries to disprove them4 ,that water was composed of earth and air seemed easily proven by the simple process of boiling it in a tea-kettle1 for the residue left was obviously an earthy substance1 whereas the steam driven off was supposed to be air4 ,the fact that pure water leaves no residue was not demonstrated until after alchemy had practically ceased to exist4 ,it was possible also to demonstrate that water could be turned into fire by thrusting a red-hot poker under a bellglass containing a dish of water4 ,not only did the quantity of water diminish1 but1 if a lighted candle was thrust under the glass1 the contents ignited and burned1 proving1 apparently1 that water had been converted into fire4 ,these1 and scores of other similar experiments1 seemed so easily explained1 and to accord so well with the four elements theory1 that they were seldom questioned until a later age of inductive science4 ,but there was one experiment to which the alchemist pinned his faith in showing that metals could be killed and revived1 when proper means were employed4 ,it had been known for many centuries that if any metal1 other than gold or silver1 were calcined in an open crucible1 it turned1 after a time1 into a peculiar kind of ash4 ,this ash was thought by the alchemist to represent the death of the metal4 ,but if to this same ash a few grains of wheat were added and heat again applied to the crucible1 the metal was seen to rise from its ashes and resume its original form--a well-known phenomenon of reducing metals from oxides by the use of carbon1 in the form of wheat1 or1 for that matter1 any other carbonaceous substance4 ,wheat was1 therefore1 made the symbol of the resurrection of the life eternal4 ,oats1 corn1 or a piece of charcoal would have revived the metals from the ashes equally well1 but the mediaeval alchemist seems not to have known this4 ,however1 in this experiment the metal seemed actually to be destroyed and revivified1 and1 as science had not as yet explained this striking phenomenon1 it is little wonder that it deceived the alchemist4 ,since the alchemists pursued their search of the magic stone in such a methodical way1 it would seem that they must have some idea of the appearance of the substance they sought4 ,probably they did1 each according to his own mental bias2 but1 if so1 they seldom committed themselves to writing1 confining their discourses largely to speculations as to the properties of this illusive substance4 ,furthermore1 the desire for secrecy would prevent them from expressing so important a piece of information4 ,but on the subject of the properties1 if not on the appearance of the essence1 they were voluminous writers4 ,it was supposed to be the only perfect substance in existence1 and to be confined in various substances1 in quantities proportionate to the state of perfection of the substance4 ,thus1 gold being most nearly perfect would contain more1 silver less1 lead still less1 and so on4 ,the essence contained in the more nearly perfect metals was thought to be more potent1 a very small quantity of it being capable of creating large quantities of gold and of prolonging life indefinitely4 ,it would appear from many of the writings of the alchemists that their conception of nature and the supernatural was so confused and entangled in an inexplicable philosophy that they themselves did not really understand the meaning of what they were attempting to convey4 ,but it should not be forgotten that alchemy was kept as much as possible from the ignorant general public1 and the alchemists themselves had knowledge of secret words and expressions which conveyed a definite meaning to one of their number1 but which would appear a meaningless jumble to an outsider4 ,some of these writers declared openly that their writings were intended to convey an entirely erroneous impression1 and were sent out only for that purpose4 ,however1 while it may have been true that the vagaries of their writings were made purposely1 the case is probably more correctly explained by saying that the very nature of the art made definite statements impossible4 ,they were dealing with something that did not exist--could not exist4 ,their attempted descriptions became1 therefore1 the language of romance rather than the language of science4 ,but if the alchemists themselves were usually silent as to the appearance of the actual substance of the philosopher's stone1 there were numberless other writers who were less reticent4 ,by some it was supposed to be a stone1 by others a liquid or elixir1 but more commonly it was described as a black powder4 ,it also possessed different degrees of efficiency according to its degrees of purity1 certain forms only possessing the power of turning base metals into gold1 while others gave eternal youth and life or different degrees of health4 ,thus an alchemist1 who had made a partial discovery of this substance1 could prolong life a certain number of years only1 or1 possessing only a small and inadequate amount of the magic powder1 he was obliged to give up the ghost when the effect of this small quantity had passed away4 ,this belief in the supernatural power of the philosopher's stone to prolong life and heal diseases was probably a later phase of alchemy1 possibly developed by attempts to connect the power of the mysterious essence with ,biblical teachings4 ,the early ,roman alchemists1 who claimed to be able to transmute metals1 seem not to have made other claims for their magic stone4 ,by the fifteenth century the belief in the philosopher's stone had become so fixed that governments began to be alarmed lest some lucky possessor of the secret should flood the country with gold1 thus rendering the existing coin of little value4 ,some little consolation was found in the thought that in case all the baser metals were converted into gold iron would then become the precious metal1 and would remain so until some new philosopher's stone was found to convert gold back into iron--a much more difficult feat1 it was thought4 ,however1 to be on the safe side1 the ,english ,parliament1 in #adjd1 saw fit to pass an act declaring the making of gold and silver to be a felony4 ,nevertheless1 in #adee1 ,king ,henry ,,vi4 granted permission to several knights1 citizens of ,london1 chemists1 and monks to find the philosopher's stone1 or elixir1 that the crown might thus be enabled to pay off its debts4 ,the monks and ecclesiastics were supposed to be most likely to discover the secret process1 since they were such good artists in transubstantiating bread and wine4 ,in ,germany the emperors ,maximilian ,i41 ,rudolf ,,ii41 and ,frederick ,,ii4 gave considerable attention to the search1 and the example they set was followed by thousands of their subjects4 ,it is said that some noblemen developed the unpleasant custom of inviting to their courts men who were reputed to have found the stone1 and then imprisoning the poor alchemists until they had made a certain quantity of gold1 stimulating their activity with tortures of the most atrocious kinds4 ,thus this danger of being imprisoned and held for ransom until some fabulous amount of gold should be made became the constant menace of the alchemist4 ,it was useless for an alchemist to plead poverty once it was noised about that he had learned the secret4 ,for how could such a man be poor when1 with a piece of metal and a few grains of magic powder1 he was able to provide himself with gold8 ,it was1 therefore1 a reckless alchemist indeed who dared boast that he had made the coveted discovery4 ,the fate of a certain indiscreet alchemist1 supposed by many to have been ,seton1 a ,scotchman1 was not an uncommon one4 ,word having been brought to the elector of ,saxony that this alchemist was in ,dresden and boasting of his powers1 the elector caused him to be arrested and imprisoned4 ,forty guards were stationed to see that he did not escape and that no one visited him save the elector himself4 ,for some time the elector tried by argument and persuasion to penetrate his secret or to induce him to make a certain quantity of gold2 but as ,seton steadily refused1 the rack was tried1 and for several months he suffered torture1 until finally1 reduced to a mere skeleton1 he was rescued by a rival candidate of the elector1 a ,pole named ,michael ,sendivogins1 who drugged the guards4 ,however1 before ,seton could be persuaded by his new captor1 he died of his injuries4 ,but ,sendivogins was also ambitious in alchemy1 and1 since ,seton was beyond his reach1 he took the next best step and married his widow4 ,from her1 as the story goes1 he received an ounce of black powder--the veritable philosopher's stone4 ,with this he manufactured great quantities of gold1 even inviting ,emperor ,rudolf ,,ii4 to see him work the miracle4 ,that monarch was so impressed that he caused a tablet to be inserted in the wall of the room in which he had seen the gold made4 ,sendivogins had learned discretion from the misfortune of ,seton1 so that he took the precaution of concealing most of the precious powder in a secret chamber of his carriage when he travelled1 having only a small quantity carried by his steward in a gold box4 ,in particularly dangerous places1 he is said to have exchanged clothes with his coachman1 making the servant take his place in the carriage while he mounted the box4 ,about the middle of the seventeenth century alchemy took such firm root in the religious field that it became the basis of the sect known as the ,rosicrucians4 ,the name was derived from the teaching of a ,german philosopher1 ,rosenkreutz1 who1 having been healed of a dangerous illness by an ,arabian supposed to possess the philosopher's stone1 returned home and gathered about him a chosen band of friends1 to whom he imparted the secret4 ,this sect came rapidly into prominence1 and for a short time at least created a sensation in ,europe1 and at the time were credited with having refined and spiritualized alchemy4 ,but by the end of the seventeenth century their number had dwindled to a mere handful1 and henceforth they exerted little influence4 ,another and earlier religious sect was the ,aureacrucians1 founded by ,jacob ,bohme1 a shoemaker1 born in ,prussia in #aege4 ,according to his teachings the philosopher's stone could be discovered by a diligent search of the ,old and the ,new ,testaments1 and more particularly the ,apocalypse1 which contained all the secrets of alchemy4 ,this sect found quite a number of followers during the life of ,bohme1 but gradually died out after his death2 not1 however1 until many of its members had been tortured for heresy1 and one at least1 ,kuhlmann1 of ,moscow1 burned as a sorcerer4 ,the names of the different substances that at various times were thought to contain the large quantities of the essence during the many centuries of searching for it1 form a list of practically all substances that were known1 discovered1 or invented during the period4 ,some believed that acids contained the substance2 others sought it in minerals or in animal or vegetable products2 while still others looked to find it among the distilled spirits--the alcoholic liquors and distilled products4 ,on the introduction of alcohol by the ,arabs that substance became of all-absorbing interest1 and for a long time allured the alchemist into believing that through it they were soon to be rewarded4 ,they rectified and refined it until sometimes it was so strong that it broke the vessels containing it1 but still it failed in its magic power4 ,later1 brandy was substituted for it1 and this in turn discarded for more recent discoveries4 ,there were always1 of course1 two classes of alchemists3 serious investigators whose honesty could not be questioned1 and clever impostors whose legerdemain was probably largely responsible for the extended belief in the existence of the philosopher's stone4 ,sometimes an alchemist practised both1 using the profits of his sleight-of-hand to procure the means of carrying on his serious alchemical researches4 ,the impostures of some of these jugglers deceived even the most intelligent and learned men of the time1 and so kept the flame of hope constantly burning4 ,the age of cold investigation had not arrived1 and it is easy to understand how an unscrupulous mediaeval ,hermann or ,kellar might completely deceive even the most intelligent and thoughtful scholars4 ,in scoffing at the credulity of such an age1 it should not be forgotten that the ,keely motor was a late nineteenth-century illusion4 ,but long before the belief in the philosopher's stone had died out1 the methods of the legerdemain alchemist had been investigated and reported upon officially by bodies of men appointed to make such investigations1 although it took several generations completely to overthrow a superstition that had been handed down through several thousand years4 ,in ,april of #aggb ,monsieur ,geoffroy made a report to the ,royal ,academy of ,sciences1 at ,paris1 on the alchemic cheats principally of the sixteenth and seventeenth centuries4 ,in this report he explains many of the seemingly marvellous feats of the unscrupulous alchemists4 ,a very common form of deception was the use of a double-bottomed crucible4 ,a copper or brass crucible was covered on the inside with a layer of wax1 cleverly painted so as to resemble the ordinary metal4 ,between this layer of wax and the bottom of the crucible1 however1 was a layer of gold dust or silver4 ,when the alchemist wished to demonstrate his power1 he had but to place some mercury or whatever substance he chose in the crucible1 heat it1 throw in a grain or two of some mysterious powder1 pronounce a few equally mysterious phrases to impress his audience1 and1 behold1 a lump of precious metal would be found in the bottom of his pot4 ,this was the favorite method of mediocre performers1 but was1 of course1 easily detected4 ,an equally successful but more difficult way was to insert surreptitiously a lump of metal into the mixture1 using an ordinary crucible4 ,this required great dexterity1 but was facilitated by the use of many mysterious ceremonies on the part of the operator while performing1 just as the modern vaudeville performer diverts the attention of the audience to his right hand while his left is engaged in the trick4 ,such ceremonies were not questioned1 for it was the common belief that the whole process lay in the spirit as much as in the substance1 many1 as we have seen1 regarding the whole process as a divine manifestation4 ,sometimes a hollow rod was used for stirring the mixture in the crucible1 this rod containing gold dust1 and having the end plugged either with wax or soft metal that was easily melted4 ,again1 pieces of lead were used which had been plugged with lumps of gold carefully covered over2 and a very simple and impressive demonstration was making use of a nugget of gold that had been coated over with quicksilver and tarnished so as to resemble lead or some base metal4 ,when this was thrown into acid the coating was removed by chemical action1 leaving the shining metal in the bottom of the vessel4 ,in order to perform some of these tricks1 it is obvious that the alchemist must have been well supplied with gold1 as some of them1 when performing before a royal audience1 gave the products to their visitors4 ,but it was always a paying investment1 for once his reputation was established the gold-maker found an endless variety of ways of turning his alleged knowledge to account1 frequently amassing great wealth4 ,some of the cleverest of the charlatans often invited royal or other distinguished guests to bring with them iron nails to be turned into gold ones4 ,they were transmuted in the alchemist's crucible before the eyes of the visitors1 the juggler adroitly extracting the iron nail and inserting a gold one without detection4 ,it mattered little if the converted gold nail differed in size and shape from the original1 for this change in shape could be laid to the process of transmutation2 and even the very critical were hardly likely to find fault with the exchange thus made4 ,furthermore1 it was believed that gold possessed the property of changing its bulk under certain conditions1 some of the more conservative alchemists maintaining that gold was only increased in bulk1 not necessarily created1 by certain forms of the magic stone4 ,thus a very proficient operator was thought to be able to increase a grain of gold into a pound of pure metal1 while one less expert could only double1 or possibly treble1 its original weight4 ,the actual number of useful discoveries resulting from the efforts of the alchemists is considerable1 some of them of incalculable value4 ,roger ,bacon1 who lived in the thirteenth century1 while devoting much of his time to alchemy1 made such valuable discoveries as the theory1 at least1 of the telescope1 and probably gunpowder4 ,of this latter we cannot be sure that the discovery was his own and that he had not learned of it through the source of old manuscripts4 ,but it is not impossible nor improbable that he may have hit upon the mixture that makes the explosives while searching for the philosopher's stone in his laboratory4 ,von ,helmont1 in the same pursuit1 discovered the properties of gas1 says ,mackay2 ,geber made discoveries in chemistry1 which were equally important2 and ,paracelsus1 amid his perpetual visions of the transmutation of metals1 found that mercury was a remedy for one of the most odious and excruciating of all the diseases that afflict humanity4' ,as we shall see a little farther on1 alchemy finally evolved into modern chemistry1 but not until it had passed through several important transitional stages4 ,,astrology ,in a general way modern astronomy may be considered as the outgrowth of astrology1 just as modern chemistry is the result of alchemy4 ,it is quite possible1 however1 that astronomy is the older of the two2 but astrology must have developed very shortly after4 ,the primitive astronomer1 having acquired enough knowledge from his observations of the heavenly bodies to make correct predictions1 such as the time of the coming of the new moon1 would be led1 naturally1 to believe that certain predictions other than purely astronomical ones could be made by studying the heavens4 ,even if the astronomer himself did not believe this1 some of his superstitious admirers would2 for to the unscientific mind predictions of earthly events would surely seem no more miraculous than correct predictions as to the future movements of the sun1 moon1 and stars4 ,when astronomy had reached a stage of development so that such things as eclipses could be predicted with anything like accuracy1 the occult knowledge of the astronomer would be unquestioned4 ,turning this apparently occult knowledge to account in a mercenary way would then be the inevitable result1 although it cannot be doubted that many of the astrologers1 in all ages1 were sincere in their beliefs4 ,later1 as the business of astrology became a profitable one1 sincere astronomers would find it expedient to practise astrology as a means of gaining a livelihood4 ,such a philosopher as ,kepler freely admitted that he practised astrology to keep from starving1 although he confessed no faith in such predictions4 ,ye otherwise philosophers1 he said1 ye censure this daughter of astronomy beyond her deserts2 know ye not that she must support her mother by her charms4 ,once astrology had become an established practice1 any considerable knowledge of astronomy was unnecessary1 for as it was at best but a system of good guessing as to future events1 clever impostors could thrive equally well without troubling to study astronomy4 ,the celebrated astrologers1 however1 were usually astronomers as well1 and undoubtedly based many of their predictions on the position and movements of the heavenly bodies4 ,thus1 the casting of a horoscope that is1 the methods by which the astrologers ascertained the relative position of the heavenly bodies at the time of a birth--was a simple but fairly exact procedure4 ,its basis was the zodiac1 or the path traced by the sun in his yearly course through certain constellations4 ,at the moment of the birth of a child1 the first care of the astrologer was to note the particular part of the zodiac that appeared on the horizon4 ,the zodiac was then divided into houses--that is1 into twelve spaces--on a chart4 ,in these houses were inserted the places of the planets1 sun1 and moon1 with reference to the zodiac4 ,when this chart was completed it made a fairly correct diagram of the heavens and the position of the heavenly bodies as they would appear to a person standing at the place of birth at a certain time4 ,up to this point the process was a simple one of astronomy4 ,but the next step--the really important one--that of interpreting this chart1 was the one which called forth the skill and imagination of the astrologer4 ,in this interpretation1 not in his mere observations1 lay the secret of his success4 ,nor did his task cease with simply foretelling future events that were to happen in the life of the newly born infant4 ,he must not only point out the dangers1 but show the means whereby they could be averted1 and his prophylactic measures1 like his predictions1 were alleged to be based on his reading of the stars4 ,but casting a horoscope at the time of births was1 of course1 only a small part of the astrologer's duty4 ,his offices were sought by persons of all ages for predictions as to their futures1 the movements of an enemy1 where to find stolen goods1 and a host of everyday occurrences4 ,in such cases it is more than probable that the astrologers did very little consulting of the stars in making their predictions4 ,they became expert physiognomists and excellent judges of human nature1 and were thus able to foretell futures with the same shrewdness and by the same methods as the modern mediums1 palmists1 and fortune-tellers4 ,to strengthen belief in their powers1 it became a common thing for some supposedly lost document of the astrologer to be mysteriously discovered after an important event1 this document purporting to foretell this very event4 ,it was also a common practice with astrologers to retain1 or have access to1 their original charts1 cleverly altering them from time to time to fit conditions4 ,the dangers attendant upon astrology were of such a nature that the lot of the astrologer was likely to prove anything but an enviable one4 ,as in the case of the alchemist1 the greater the reputation of an astrologer the greater dangers he was likely to fall into4 ,if he became so famous that he was employed by kings or noblemen1 his too true or too false prophecies were likely to bring him into disrepute--even to endanger his life4 ,throughout the dark age the astrologers flourished1 but the sixteenth and seventeenth centuries were the golden age of these impostors4 ,a skilful astrologer was as much an essential to the government as the highest official1 and it would have been a bold monarch1 indeed1 who would undertake any expedition of importance unless sanctioned by the governing stars as interpreted by these officials4 ,it should not be understood1 however1 that belief in astrology died with the advent of the ,copernican doctrine4 ,it did become separated from astronomy very shortly after1 to be sure1 and undoubtedly among the scientists it lost much of its prestige4 ,but it cannot be considered as entirely passed away1 even to-day1 and even if we leave out of consideration street-corner astrologers and fortune-tellers1 whose signs may be seen in every large city1 there still remains quite a large class of relatively intelligent people who believe in what they call the science of astrology4 ,needless to say1 such people are not found among the scientific thinkers2 but it is significant that scarcely a year passes that some book or pamphlet is not published by some ardent believer in astrology1 attempting to prove by the illogical dogmas characteristic of unscientific thinkers that astrology is a science4 ,the arguments contained in these pamphlets are very much the same as those of the astrologers three hundred years ago1 except that they lack the quaint form of wording which is one of the features that lends interest to the older documents4 ,these pamphlets need not be taken seriously1 but they are interesting as exemplifying how difficult it is1 even in an age of science1 to entirely stamp out firmly established superstitions4 ,here are some of the arguments advanced in defence of astrology1 taken from a little brochure entitled ,astrology ,vindicated1 published in #ahih3 ,it will be found that a person born when the ,sun is in twenty degrees ,scorpio has the left ear as his exceptional feature and the nose 7,sagittarius7 bent towards the left ear4 ,a person born when the ,sun is in any of the latter degrees of ,taurus1 say the twenty-fifth degree1 will have a small1 sharp1 weak chin1 curved up towards ,gemini1 the two vertical lines on the upper lip47#d7 ,the time was when science went out of its way to prove that such statements were untrue2 but that time is past1 and such writers are usually classed among those energetic but misguided persons who are unable to distinguish between logic and sophistry4 ,in ,england1 from the time of ,elizabeth to the reign of ,william and ,mary1 judicial astrology was at its height4 ,after the great ,london fire1 in #afff1 a committee of the ,house of ,commons publicly summoned the famous astrologer1 ,lilly1 to come before ,parliament and report to them on his alleged prediction of the calamity that had befallen the city4 ,lilly1 for some reason best known to himself1 denied having made such a prediction1 being1 as he explained1 more interested in determining affairs of much more importance to the future welfare of the country4 ,some of the explanations of his interpretations will suffice to show their absurdities1 which1 however1 were by no means regarded as absurdities at that time1 for ,lilly was one of the greatest astrologers of his day4 ,he said that in #aehh a prophecy had been printed in ,greek characters which foretold exactly the troubles of ,england between the years #afda4 and #affj4 ,and after him shall come a dreadful dead man1 ran the prophecy1 and with him a royal ,g of the best blood in the world1 and he shall have the crown and shall set ,england on the right way and put out all heresies4 ,his interpretation of this was that1 ,monkery being extinguished above eighty or ninety years1 and the ,lord ,general's name being ,monk1 is the dead man4 ,the royal ,g or ,c 7it is gamma in the ,greek1 intending ,c in the ,latin1 being the third letter in the alphabet7 is ,charles ,,ii41 who1 for his extraction1 may be said to be of the best blood of the world47#e7 ,this may be taken as a fair sample of ,lilly's interpretations of astrological prophesies1 but many of his own writings1 while somewhat more definite and direct1 are still left sufficiently vague to allow his skilful interpretations to set right an apparent mistake4 ,one of his famous documents was ,the ,starry ,messenger1 a little pamphlet purporting to explain the phenomenon of a strange apparition of three suns that were seen in ,london on ,november #ai1 #afdd---the anniversary of the birth of ,charles ,i41 then the reigning monarch4 ,this phenomenon caused a great stir among the ,english astrologers1 coming1 as it did1 at a time of great political disturbance4 ,prophecies were numerous1 and ,lilly's brochure is only one of many that appeared at that time1 most of which1 however1 have been lost4 ,lilly1 in his preface1 says3 ,if there be any of so prevaricate a judgment as to think that the apparition of these three ,suns doth intimate no ,novelle thing to happen in our own ,climate1 where they were manifestly visible1 ,i shall lament their indisposition1 and conceive their brains to be shallow1 and voyde of understanding humanity1 or notice of common ,history4 ,having thus forgiven his few doubting readers1 who were by no means in the majority in his day1 he takes up in review the records of the various appearances of three suns as they have occurred during the ,christian era1 showing how such phenomena have governed certain human events in a very definite manner4 ,some of these are worth recording4 ,anno #ff4 ,a comet was seen1 and also three ,suns3 ,in which yeer1 ,florus ,president of the ,jews was by them slain4 ,paul writes to ,timothy4 ,the ,christians are warned by a divine ,oracle1 and depart out of ,jerusalem4 ,boadice a ,british ,queen1 killeth seventy thousand ,romans4 ,the ,nazareni1 a scurvie ,sect1 begun1 that boasted much of ,revelations and ,visions4 ,about a year after ,nero was proclaimed enemy to the ,state of ,rome4 ,again1 ,anno #aaeg1 in ,september1 there were seen three ,suns together1 in as clear weather as could be3 ,and a few days after1 in the same month1 three ,moons1 and1 in the ,moon that stood in the middle1 a white ,crosse4 ,sueno1 ,king of ,denmark1 at a great ,feast1 killeth ,canutus3 ,sueno is himself slain1 in pursuit of ,waldemar4 ,the ,order of ,eremites1 according to the rule of ,saint ,augustine1 begun this year2 and in the next1 the ,pope submits to the ,emperour3 7was not this miraculous87 ,lombardy was also adjudged to the ,emperour4 ,continuing this list of peculiar phenomena he comes down to within a few years of his own time4 ,anno #afbb1 three ,suns appeared at ,heidelberg4 ,the woful ,calamities that have ever since fallen upon the ,palatinate1 we are all sensible of1 and of the loss of it1 for any thing ,i see1 for ever1 from the right ,heir4 ,osman the great ,turk is strangled that year2 and ,spinola besiegeth ,bergen up ,zoom1 etc4 ,fortified by the enumeration of these past events1 he then proceeds to make his deductions4 ,only this ,i must tell thee1 he writes1 that the interpretation ,i write is1 ,i conceive1 grounded upon probable foundations2 and who lives to see a few years over his head1 will easily perceive ,i have unfolded as much as was fit to discover1 and that my judgment was not a mile and a half from truth4 ,there is a great significance in this as much as was fit to discover--a mysterious something that ,lilly thinks it expedient not to divulge4 ,but1 nevertheless1 one would imagine that he was about to make some definite prediction about ,charles ,i41 since these three suns appeared upon his birthday and surely must portend something concerning him4 ,but after rambling on through many pages of dissertations upon planets and prophecies1 he finally makes his own indefinite prediction4 ,o all you ,emperors1 ,kings1 ,princes1 ,rulers and ,magistrates of ,europe1 this unaccustomed ,apparition is like the ,handwriting in ,daniel to some of you2 it premonisheth you1 above all other people1 to make your peace with ,god in time4 ,you shall every one of you smart1 and every one of you taste 7none excepted7 the heavie hand of ,god1 who will strengthen your subjects with invincible courage to suppress your misgovernments and ,oppressions in ,church or ,common-wealth2444 ,those words are general3 a word for my own country of ,england4444 ,look to yourselves2 here's some monstrous death towards you4 ,but to whom8 wilt thou say4 ,herein we consider the ,signe1 ,lord thereof1 and the ,house2 ,the ,sun signifies in that ,royal ,signe1 great ones2 the ,house signifies captivity1 poison1 ,treachery3 ,from which is derived thus much1 ,that some very great man1 what ,king1 ,prince1 ,duke1 or the like1 ,i really affirm ,i perfectly know not1 shall1 ,i say1 come to some such untimely end47#f7 ,here is shown a typical example of astrological prophecy1 which seems to tell something or nothing1 according to the point of view of the reader4 ,according to a believer in astrology1 after the execution of ,charles ,i41 five years later1 this could be made to seem a direct and exact prophecy4 ,for example1 he says3 ,you ,kings1 ,princes1 etc41444 it premonisheth you444 to make your peace with ,god4444 ,look to yourselves2 here's some monstrous death towards you4444 ,that some very great man1 what ,king1 ,prince14 shall1 ,i say1 come to such untimely end4 ,but by the doubter the complete prophecy could be shown to be absolutely indefinite1 and applicable as much to the king of ,france or ,spain as to ,charles ,i41 or to any king in the future1 since no definite time is stated4 ,furthermore1 ,lilly distinctly states1 ,what ,king1 ,prince1 ,duke1 or the like1 ,i really affirm ,i perfectly know not--which last1 at least1 was a most truthful statement4 ,the same ingenuity that made ,gen4 ,monk the dreadful dead man1 could easily make such a prediction apply to the execution of ,charles ,i4 ,such a definite statement that1 on such and such a day a certain number of years in the future1 the monarch of ,england would be beheaded--such an exact statement can scarcely be found in any of the works on astrology4 ,it should be borne in mind1 also1 that ,lilly was of the ,cromwell party and opposed to the king4 ,after the death of ,charles ,i41 ,lilly admitted that the monarch had given him a thousand pounds to cast his horoscope4 ,i advised him1 says ,lilly1 to proceed eastwards2 he went west1 and all the world knows the result4 ,it is an unfortunate thing for the cause of astrology that ,lilly failed to mention this until after the downfall of the monarch4 ,in fact1 the sudden death1 or decline in power1 of any monarch1 even to-day1 brings out the perennial post-mortem predictions of astrologers4 ,we see how ,lilly1 an opponent of the king1 made his so-called prophecy of the disaster of the king and his army4 ,at the same time another celebrated astrologer and rival of ,lilly1 ,george ,wharton1 also made some predictions about the outcome of the eventful march from ,oxford4 ,wharton1 unlike ,lilly1 was a follower of the king's party1 but that1 of course1 should have had no influence in his scientific reading of the stars4 ,wharton's predictions are much less verbose than ,lilly's1 much more explicit1 and1 incidentally1 much more incorrect in this particular instance4 ,the ,moon ,lady of the #ab1 he wrote1 and moving betwixt the #h degree1 #cd min41 and #ba degree1 #bf min4 of ,aquarius1 gives us to understand that ,his ,majesty shall receive much contentment by certain ,messages brought him from foreign parts2 and that he shall receive some sudden and unexpected supply of444 by the means of some that assimilate the condition of his ,enemies3 ,and withal this comfort2 that ,his ,majesty shall be exceeding successful in ,besieging ,towns1 ,castles1 or ,forts1 and in persuing the enemy4 ,mars his ,sextile to the ,sun1 ,lord of the ,ascendant 7which happeneth the #ah day of ,may7 will encourage our ,soldiers to advance with much alacrity and cheerfulness of spirit2 to show themselves gallant in the most dangerous attempt4444 ,and now to sum up all3 ,it is most apparent to every impartial and ingenuous judgment2 ,that although ,his ,majesty cannot expect to be secured from every trivial disaster that may befall his army1 either by the too much ,presumption1 ,ignorance1 or ,negligence of some particular ,persons 7which is frequently incident and unavoidable in the best of ,armies71 yet the several positions of the ,heavens duly considered and compared among themselves1 as well in the prefixed ,scheme as at the ,quarterly ,ingresses1 do generally render ,his ,majesty and his whole ,army unexpectedly victorious and successful in all his designs2 ,believe it 7,london71 thy ,miseries approach1 they are like to be many1 great1 and grievous1 and not to be diverted1 unless thou seasonably crave ,pardon of ,god for being ,nurse to this present ,rebellion1 and speedily submit to thy ,prince's ,mercy2 ,which shall be the daily ,prayer of ,geo4 ,wharton47#g7 ,in the light of after events1 it is probable that ,wharton's stock as an astrologer was not greatly enhanced by this document1 at least among members of the ,royal family4 ,lilly's book1 on the other hand1 became a favorite with the ,parliamentary army4 ,after the downfall and death of ,napoleon there were unearthed many alleged authentic astrological documents foretelling his ruin4 ,and on the death of ,george ,,iv41 in #ahcj1 there appeared a document 7unknown1 as usual1 until that time7 purporting to foretell the death of the monarch to the day1 and this without the astrologer knowing that his horoscope was being cast for a monarch4 ,a full account of this prophecy is told1 with full belief1 by ,roback1 a nineteenth-century astrologer4 ,he says3 ,in the year #ahbh1 a stranger of noble mien1 advanced in life1 but possessing the most bland manners1 arrived at the abode of a celebrated astrologer in ,london1 asking that the learned man foretell his future4 ,the astrologer complied with the request of the mysterious visitor1 drew forth his tables1 consulted his ephemeris1 and cast the horoscope or celestial map for the hour and the moment of the inquiry1 according to the established rules of his art4 ,the elements of his calculation were adverse1 and a feeling of gloom cast a shade of serious thought1 if not dejection1 over his countenance4 ',you are of high rank1' said the astrologer1 as he calculated and looked on the stranger1 'and of illustrious title4' ,the stranger made a graceful inclination of the head in token of acknowledgment of the complimentary remarks1 and the astrologer proceeded with his mission4 ,the celestial signs were ominous of calamity to the stranger1 who1 probably observing a sudden change in the countenance of the astrologer1 eagerly inquired what evil or good fortune had been assigned him by the celestial orbs4 ',to the first part of your inquiry1' said the astrologer1 ',i can readily reply4 ,you have been a favorite of fortune2 her smiles on you have been abundant1 her frowns but few2 you have had1 perhaps now possess1 wealth and power2 the impossibility of their accomplishment is the only limit to the fulfilment of your desires4' ',you have spoken truly of the past1' said the stranger4 ',i have full faith in your revelations of the future3 what say you of my pilgrimage in this life--is it short or long8' ',i regret1' replied the astrologer1 in answer to this inquiry1 'to be the herald of ill1 though ,,true1 fortune2 your sojourn on earth will be short4' ',how short8' eagerly inquired the excited and anxious stranger4 ',give me a momentary truce1' said the astrologer2 ',i will consult the horoscope1 and may possibly find some mitigating circumstances4' ,having cast his eyes over the celestial map1 and paused for some moments1 he surveyed the countenance of the stranger with great sympathy1 and said1 ',i am sorry that ,i can find no planetary influences that oppose your destiny--your death will take place in two years4' ,the event justified the astrologic prediction3 ,george ,,iv4 died on ,may #ah1 #ahcj1 exactly two years from the day on which he had visited the astrologer47#h7 ,this makes a very pretty story1 but it hardly seems like occult insight that an astrologer should have been able to predict an early death of a man nearly seventy years old1 or to have guessed that his well-groomed visitor had1 perhaps now possesses1 wealth and power4 ,here again1 however1 the point of view of each individual plays the governing part in determining the importance of such a document4 ,to the scientist it proves nothing2 to the believer in astrology1 everything4 ,the significant thing is that it appeared shortly ,,after the death of the monarch4 ,on the ,continent astrologers were even more in favor than in ,england4 ,charlemagne1 and some of his immediate successors1 to be sure1 attempted to exterminate them1 but such rulers as ,louis ,,xi4 and ,catherine de' ,medici patronized and encouraged them1 and it was many years after the time of ,copernicus before their influence was entirely stamped out even in official life4 ,there can be no question that what gave the color of truth to many of the predictions was the fact that so many of the prophecies of sudden deaths and great conflagrations were known to have come true--in many instances were made to come true by the astrologer himself4 ,and so it happened that when the prediction of a great conflagration at a certain time culminated in such a conflagration1 many times a second but less-important burning took place1 in which the ambitious astrologer1 or his followers1 took a central part about a stake1 being convicted of incendiarism1 which they had committed in order that their prophecies might be fulfilled4 ,but1 on the other hand1 these predictions were sometimes turned to account by interested friends to warn certain persons of approaching dangers4 ,for example1 a certain astrologer foretold the death of ,prince ,alexander de' ,medici4 ,he not only foretold the death1 but described so minutely the circumstances that would attend it1 and gave such a correct description of the assassin who should murder the prince1 that he was at once suspected of having a hand in the assassination4 ,it developed later1 however1 that such was probably not the case2 but that some friend of ,prince ,alexander1 knowing of the plot to take his life1 had induced the astrologer to foretell the event in order that the prince might have timely warning and so elude the conspirators4 ,the cause of the decline of astrology was the growing prevalence of the new spirit of experimental science4 ,doubtless the most direct blow was dealt by the ,copernican theory4 ,so soon as this was established1 the recognition of the earth's subordinate place in the universe must have made it difficult for astronomers to be longer deceived by such coincidences as had sufficed to convince the observers of a more credulous generation4 ,tycho ,brahe was1 perhaps1 the last astronomer of prominence who was a conscientious practiser of the art of the astrologer4 ,,vii4 ,,from ,,paracelsus ,,to ,,harvey ,,paracelsus ,in the year #aebf there appeared a new lecturer on the platform at the ,university at ,basel--a small1 beardless1 effeminate-looking person--who had already inflamed all ,christendom with his peculiar philosophy1 his revolutionary methods of treating diseases1 and his unparalleled success in curing them4 ,a man who was to be remembered in after-time by some as the father of modern chemistry and the founder of modern medicine2 by others as madman1 charlatan1 impostor2 and by still others as a combination of all these4 ,this soft-cheeked1 effeminate1 woman-hating man1 whose very sex has been questioned1 was ,theophrastus von ,hohenheim1 better known as ,paracelsus 7#adic-aeda74 ,to appreciate his work1 something must be known of the life of the man4 ,he was born near ,maria-,einsiedeln1 in ,switzerland1 the son of a poor physician of the place4 ,he began the study of medicine under the instruction of his father1 and later on came under the instruction of several learned churchmen4 ,at the age of sixteen he entered the ,university of ,basel1 but1 soon becoming disgusted with the philosophical teachings of the time1 he quitted the scholarly world of dogmas and theories and went to live among the miners in the ,tyrol1 in order that he might study nature and men at first hand4 ,ordinary methods of study were thrown aside1 and he devoted his time to personal observation--the only true means of gaining useful knowledge1 as he preached and practised ever after4 ,here he became familiar with the art of mining1 learned the physical properties of minerals1 ores1 and metals1 and acquired some knowledge of mineral waters4 ,more important still1 he came in contact with such diseases1 wounds1 and injuries as miners are subject to1 and he tried his hand at the practical treatment of these conditions1 untrammelled by the traditions of a profession in which his training had been so scant4 ,having acquired some empirical skill in treating diseases1 ,paracelsus set out wandering from place to place all over ,europe1 gathering practical information as he went1 and learning more and more of the medicinal virtues of plants and minerals4 ,his wanderings covered a period of about ten years1 at the end of which time he returned to ,basel1 where he was soon invited to give a course of lectures in the university4 ,these lectures were revolutionary in two respects--they were given in ,german instead of time-honored ,latin1 and they were based upon personal experience rather than upon the works of such writers as ,galen and ,avicenna4 ,indeed1 the iconoclastic teacher spoke with open disparagement of these revered masters1 and openly upbraided his fellow-practitioners for following their tenets4 ,naturally such teaching raised a storm of opposition among the older physicians1 but for a time the unparalleled success of ,paracelsus in curing diseases more than offset his unpopularity4 ,gradually1 however1 his bitter tongue and his coarse personality rendered him so unpopular1 even among his patients1 that1 finally1 his liberty and life being jeopardized1 he was obliged to flee from ,basel1 and became a wanderer4 ,he lived for brief periods in ,colmar1 ,nuremberg1 ,appenzell1 ,zurich1 ,pfeffers1 ,augsburg1 and several other cities1 until finally at ,salzburg his eventful life came to a close in #aeda4 ,his enemies said that he had died in a tavern from the effects of a protracted debauch2 his supporters maintained that he had been murdered at the instigation of rival physicians and apothecaries4 ,but the effects of his teachings had taken firm root1 and continued to spread after his death4 ,he had shown the fallibility of many of the teachings of the hitherto standard methods of treating diseases1 and had demonstrated the advantages of independent reasoning based on observation4 ,in his ,magicum he gives his reasons for breaking with tradition4 ,i did1 he says1 embrace at the beginning these doctrines1 as my adversaries 7followers of ,galen7 have done1 but since ,i saw that from their procedures nothing resulted but death1 murder1 stranglings1 anchylosed limbs1 paralysis1 and so forth1 that they held most diseases incurable4444 therefore have ,i quitted this wretched art1 and sought for truth in any other direction4 ,i asked myself if there were no such thing as a teacher in medicine1 where could ,i learn this art best8 ,nowhere better than the open book of nature1 written with ,god's own finger4 ,we shall see1 however1 that this book of nature taught ,paracelsus some very strange lessons4 ,modesty was not one of these4 ,now at this time1 he declares1 ,i1 ,theophrastus ,paracelsus1 ,bombast1 ,monarch of the ,arcana1 was endowed by ,god with special gifts for this end1 that every searcher after this supreme philosopher's work may be forced to imitate and to follow me1 be he ,italian1 ,pole1 ,gaul1 ,german1 or whatsoever or whosoever he be4 ,come hither after me1 all ye philosophers1 astronomers1 and spagirists4444 ,i will show and open to you444 this corporeal regeneration47#a7 ,paracelsus based his medical teachings on four pillars--philosophy1 astronomy1 alchemy1 and virtue of the physician--a strange-enough equipment surely1 and yet1 properly interpreted1 not quite so anomalous as it seems at first blush4 ,philosophy was the gate of medicine1 whereby the physician entered rightly upon the true course of learning2 astronomy1 the study of the stars1 was all-important because they 7the stars7 caused disease by their exhalations1 as1 for instance1 the sun by excessive heat2 alchemy1 as he interpreted it1 meant the improvement of natural substances for man's benefit2 while virtue in the physician was necessary since only the virtuous are permitted to penetrate into the innermost nature of man and the universe4 ,all his writings aim to promote progress in medicine1 and to hold before the physician a grand ideal of his profession4 ,in this his views are wide and far-reaching1 based on the relationship which man bears to nature as a whole2 but in his sweeping condemnations he not only rejected ,galenic therapeutics and ,galenic anatomy1 but condemned dissections of any kind4 ,he laid the cause of all diseases at the door of the three mystic elements--salt1 sulphur1 and mercury4 ,in health he supposed these to be mingled in the body so as to be indistinguishable2 a slight separation of them produced disease2 and death he supposed to be the result of their complete separation4 ,the spiritual agencies of diseases1 he said1 had nothing to do with either angels or devils1 but were the spirits of human beings4 ,he believed that all food contained poisons1 and that the function of digestion was to separate the poisonous from the nutritious4 ,in the stomach was an archaeus1 or alchemist1 whose duty was to make this separation4 ,in digestive disorders the archaeus failed to do this1 and the poisons thus gaining access to the system were coagulated and deposited in the joints and various other parts of the body4 ,thus the deposits in the kidneys and tartar on the teeth were formed2 and the stony deposits of gout were particularly familiar examples of this4 ,all this is visionary enough1 yet it shows at least a groping after rational explanations of vital phenomena4 ,like most others of his time1 ,paracelsus believed firmly in the doctrine of signatures--a belief that every organ and part of the body had a corresponding form in nature1 whose function was to heal diseases of the organ it resembled4 ,the vagaries of this peculiar doctrine are too numerous and complicated for lengthy discussion1 and varied greatly from generation to generation4 ,in general1 however1 the theory may be summed up in the words of ,paracelsus3 ,as a woman is known by her shape1 so are the medicines4 ,hence the physicians were constantly searching for some object of corresponding shape to an organ of the body4 ,the most natural application of this doctrine would be the use of the organs of the lower animals for the treatment of the corresponding diseased organs in man4 ,thus diseases of the heart were to be treated with the hearts of animals1 liver disorders with livers1 and so on4 ,but this apparently simple form of treatment had endless modifications and restrictions1 for not all animals were useful4 ,for example1 it was useless to give the stomach of an ox in gastric diseases when the indication in such cases was really for the stomach of a rat4 ,nor were the organs of animals the only signatures in nature4 ,plants also played a very important role1 and the herb-doctors devoted endless labor to searching for such plants4 ,thus the blood-root1 with its red juice1 was supposed to be useful in blood diseases1 in stopping hemorrhage1 or in subduing the redness of an inflammation4 ,paracelsus's system of signatures1 however1 was so complicated by his theories of astronomy and alchemy that it is practically beyond comprehension4 ,it is possible that he himself may have understood it1 but it is improbable that any one else did--as shown by the endless discussions that have taken place about it4 ,but with all the vagaries of his theories he was still rational in his applications1 and he attacked to good purpose the complicated shot-gun prescriptions of his contemporaries1 advocating more simple methods of treatment4 ,the ever-fascinating subject of electricity1 or1 more specifically1 magnetism1 found great favor with him1 and with properly adjusted magnets he claimed to be able to cure many diseases4 ,in epilepsy and lockjaw1 for example1 one had but to fasten magnets to the four extremities of the body1 and then1 when the proper medicines were given1 the cure would be effected4 ,the easy loop-hole for excusing failure on the ground of improper medicines is obvious1 but ,paracelsus declares that this one prescription is of more value than all the humoralists have ever written or taught4 ,since ,paracelsus condemned the study of anatomy as useless1 he quite naturally regarded surgery in the same light4 ,in this he would have done far better to have studied some of his predecessors1 such as ,galen1 ,paul of ,aegina1 and ,avicenna4 ,but instead of cutting men to pieces1 he taught that surgeons would gain more by devoting their time to searching for the universal panacea which would cure all diseases1 surgical as well as medical4 ,in this we detect a taint of the popular belief in the philosopher's stone and the magic elixir of life1 his belief in which have been stoutly denied by some of his followers4 ,he did admit1 however1 that one operation alone was perhaps permissible--lithotomy1 or the cutting for stone4 ,his influence upon medicine rests undoubtedly upon his revolutionary attitude1 rather than on any great or new discoveries made by him4 ,it is claimed by many that he brought prominently into use opium and mercury1 and if this were indisputably proven his services to medicine could hardly be overestimated4 ,unfortunately1 however1 there are good grounds for doubting that he was particularly influential in reintroducing these medicines4 ,his chief influence may perhaps be summed up in a single phrase--he overthrew old traditions4 ,to ,paracelsus's endeavors1 however1 if not to the actual products of his work1 is due the credit of setting in motion the chain of thought that developed finally into scientific chemistry4 ,nor can the ultimate aim of the modern chemist seek a higher object than that of this sixteenth-century alchemist1 who taught that true alchemy has but one aim and object1 to extract the quintessence of things1 and to prepare arcana1 tinctures1 and elixirs which may restore to man the health and soundness he has lost4 ,,the ,,great ,,anatomists ,about the beginning of the sixteenth century1 while ,paracelsus was scoffing at the study of anatomy as useless1 and using his influence against it1 there had already come upon the scene the first of the great anatomists whose work was to make the century conspicuous in that branch of medicine4 ,the young anatomist ,charles etienne 7#aejc-aefd7 made one of the first noteworthy discoveries1 pointing out for the first time that the spinal cord contains a canal1 continuous throughout its length4 ,he also made other minor discoveries of some importance1 but his researches were completely overshadowed and obscured by the work of a young ,fleming who came upon the scene a few years later1 and who shone with such brilliancy in the medical world that he obscured completely the work of his contemporary until many years later4 ,this young physician1 who was destined to lead such an eventful career and meet such an untimely end as a martyr to science1 was ,andrew ,vesalius 7#aead-aefd71 who is called the greatest of anatomists4 ,at the time he came into the field medicine was struggling against the dominating ,galenic teachings and the theories of ,paracelsus1 but perhaps most of all against the superstitions of the time4 ,in ,france human dissections were attended with such dangers that the young ,vesalius transferred his field of labors to ,italy1 where such investigations were covertly permitted1 if not openly countenanced4 ,from the very start the young ,fleming looked askance at the accepted teachings of the day1 and began a series of independent investigations based upon his own observations4 ,the results of these investigations he gave in a treatise on the subject which is regarded as the first comprehensive and systematic work on human anatomy4 ,this remarkable work was published in the author's twenty-eighth or twenty-ninth year4 ,soon after this ,vesalius was invited as imperial physician to the court of ,emperor ,charles ,v4 ,he continued to act in the same capacity at the court of ,philip ,,ii41 after the abdication of his patron4 ,but in spite of this royal favor there was at work a factor more powerful than the influence of the monarch himself--an instrument that did so much to retard scientific progress1 and by which so many lives were brought to a premature close4 ,vesalius had received permission from the kinsmen of a certain grandee to perform an autopsy4 ,while making his observations the heart of the outraged body was seen to palpitate--so at least it was reported4 ,this was brought immediately to the attention of the ,inquisition1 and it was only by the intervention of the king himself that the anatomist escaped the usual fate of those accused by that tribunal4 ,as it was1 he was obliged to perform a pilgrimage to the ,holy ,land4 ,while returning from this he was shipwrecked1 and perished from hunger and exposure on the island of ,zante4 ,at the very time when the anatomical writings of ,vesalius were startling the medical world1 there was living and working contemporaneously another great anatomist1 ,eustachius 7died #aegd71 whose records of his anatomical investigations were ready for publication only nine years after the publication of the work of ,vesalius4 ,owing to the unfortunate circumstances of the anatomist1 however1 they were never published during his lifetime--not1 in fact1 until #agad4 ,when at last they were given to the world as ,anatomical ,engravings1 they showed conclusively that ,eustachius was equal1 if not superior to ,vesalius in his knowledge of anatomy4 ,it has been said of this remarkable collection of engravings that if they had been published when they were made in the sixteenth century1 anatomy would have been advanced by at least two centuries4 ,but be this as it may1 they certainly show that their author was a most careful dissector and observer4 ,eustachius described accurately for the first time certain structures of the middle ear1 and rediscovered the tube leading from the ear to the throat that bears his name4 ,he also made careful studies of the teeth and the phenomena of first and second dentition4 ,he was not baffled by the minuteness of structures and where he was unable to study them with the naked eye he used glasses for the purpose1 and resorted to macerations and injections for the study of certain complicated structures4 ,but while the fruit of his pen and pencil were lost for more than a century after his death1 the effects of his teachings were not2 and his two pupils1 ,fallopius and ,columbus1 are almost as well known to-day as their illustrious teacher4 ,columbus 7#adij-aeei7 did much in correcting the mistakes made in the anatomy of the bones as described by ,vesalius4 ,he also added much to the science by giving correct accounts of the shape and cavities of the heart1 and made many other discoveries of minor importance4 ,fallopius 7#aebc-aefb7 added considerably to the general knowledge of anatomy1 made several discoveries in the anatomy of the ear1 and also several organs in the abdominal cavity4 ,at this time a most vitally important controversy was in progress as to whether or not the veins of the bodies were supplied with valves1 many anatomists being unable to find them4 ,etienne had first described these structures1 and ,vesalius had confirmed his observations4 ,it would seem as if there could be no difficulty in settling the question as to the fact of such valves being present in the vessels1 for the demonstration is so simple that it is now made daily by medical students in all physiological laboratories and dissecting-rooms4 ,but many of the great anatomists of the sixteenth century were unable to make this demonstration1 even when it had been brought to their attention by such an authority as ,vesalius4 ,fallopius1 writing to ,vesalius on the subject in #aefb1 declared that he was unable to find such valves4 ,others1 however1 such as ,eustachius and ,fabricius 7#aecg-afai71 were more successful1 and found and described these structures4 ,but the purpose served by these valves was entirely misinterpreted4 ,that they act in preventing the backward flow of the blood in the veins on its way to the heart1 just as the valves of the heart itself prevent regurgitation1 has been known since the time of ,harvey2 but the best interpretation that could be given at that time1 even by such a man as ,fabricius1 was that they acted in retarding the flow of the blood as it comes from the heart1 and thus prevent its too rapid distribution throughout the body4 ,the fact that the blood might have been going towards the heart1 instead of coming from it1 seems never to have been considered seriously until demonstrated so conclusively by ,harvey4 ,of this important and remarkable controversy over the valves in veins1 ,withington has this to say3 ,this is truly a marvellous story4 ,a great ,galenic anatomist is first to give a full and correct description of the valves and their function1 but fails to see that any modification of the old view as to the motion of the blood is required4 ,two able dissectors carefully test their action by experiment1 and come to a result1 the exact reverse of the truth4 ,urged by them1 the two foremost anatomists of the age make a special search for valves and fail to find them4 ,finally1 passing over lesser peculiarities1 an aged and honorable professor1 who has lived through all this1 calmly asserts that no anatomist1 ancient or modern1 has ever mentioned valves in veins till he discovered them in #aegd67b7 ,among the anatomists who probably discovered these valves was ,michael ,servetus 7#aeaa-aeec72 but if this is somewhat in doubt1 it is certain that he discovered and described the pulmonary circulation1 and had a very clear idea of the process of respiration as carried on in the lungs4 ,the description was contained in a famous document sent to ,calvin in #aede--;a document which the reformer carefully kept for seven years in order that he might make use of some of the heretical statements it contained to accomplish his desire of bringing its writer to the stake4 ,the awful fate of ,servetus1 the interesting character of the man1 and the fact that he came so near to anticipating the discoveries of ,harvey make him one of the most interesting figures in medical history4 ,in this document which was sent to ,calvin1 ,servetus rejected the doctrine of natural1 vital1 and animal spirits1 as contained in the veins1 arteries1 and nerves respectively1 and made the all-important statement that the fluids contained in veins and arteries are the same4 ,he showed also that the blood is purged from fume and purified by respiration in the lungs1 and declared that there is a new vessel in the lungs1 formed out of vein and artery4 ,even at the present day there is little to add to or change in this description of ,servetus's4 ,by keeping this document1 pregnant with advanced scientific views1 from the world1 and in the end only using it as a means of destroying its author1 the great reformer showed the same jealousy in retarding scientific progress as had his arch-enemies of the ,inquisition1 at whose dictates ,vesalius became a martyr to science1 and in whose dungeons etienne perished4 ,,the ,,coming ,,of ,,harvey ,the time was ripe for the culminating discovery of the circulation of the blood2 but as yet no one had determined the all-important fact that there are two currents of blood in the body1 one going to the heart1 one coming from it4 ,the valves in the veins would seem to show conclusively that the venous current did not come from the heart1 and surgeons must have observed thousands of times the every-day phenomenon of congested veins at the distal extremity of a limb around which a ligature or constriction of any kind had been placed1 and the simultaneous depletion of the vessels at the proximal points above the ligature4 ,but it should be remembered that inductive science was in its infancy4 ,this was the sixteenth1 not the nineteenth century1 and few men had learned to put implicit confidence in their observations and convictions when opposed to existing doctrines4 ,the time was at hand1 however1 when such a man was to make his appearance1 and1 as in the case of so many revolutionary doctrines in science1 this man was an ,englishman4 ,it remained for ,william ,harvey 7#aegh-afeg7 to solve the great mystery which had puzzled the medical world since the beginning of history2 not only to solve it1 but to prove his case so conclusively and so simply that for all time his little booklet must he handed down as one of the great masterpieces of lucid and almost faultless demonstration4 ,harvey1 the son of a prosperous ,kentish yeoman1 was born at ,folkestone4 ,his education was begun at the grammar-school of ,canterbury1 and later he became a pensioner of ,caius ,college1 ,cambridge4 ,soon after taking his degree of ,b4,a41 at the age of nineteen1 he decided upon the profession of medicine1 and went to ,padua as a pupil of ,fabricius and ,casserius4 ,returning to ,england at the age of twenty-four1 he soon after 7#afji7 obtained the reversion of the post of physician to ,st4 ,bartholomew's ,hospital1 his application being supported by ,james ,i4 himself4 ,even at this time he was a popular physician1 counting among his patients such men as ,francis ,bacon4 ,in #afah he was appointed physician extraordinary to the king1 and1 a little later1 physician in ordinary4 ,he was in attendance upon ,charles ,i4 at the battle of ,edgehill1 in #afdb1 where1 with the young ,prince of ,wales and the ,duke of ,york1 after seeking shelter under a hedge1 he drew a book out of his pocket and1 forgetful of the battle1 became absorbed in study1 until finally the cannon-balls from the enemy's artillery made him seek a more sheltered position4 ,on the fall of ,charles ,i4 he retired from practice1 and lived in retirement with his brother4 ,he was then well along in years1 but still pursued his scientific researches with the same vigor as before1 directing his attention chiefly to the study of embryology4 ,on ,june #c1 #afeg1 he was attacked by paralysis and died1 in his eightieth year4 ,he had lived to see his theory of the circulation accepted1 several years before1 by all the eminent anatomists of the civilized world4 ,a keenness in the observation of facts1 characteristic of the mind of the man1 had led ,harvey to doubt the truth of existing doctrines as to the phenomena of the circulation4 ,galen had taught that the arteries are filled1 like bellows1 because they are expanded1 but ,harvey thought that the action of spurting blood from a severed vessel disproved this4 ,for the spurting was remittant1 now with greater1 now with less impetus1 and its greater force always corresponded to the expansion 7diastole71 not the contraction 7systole7 of the vessel4 ,furthermore1 it was evident that contraction of the heart and the arteries was not simultaneous1 as was commonly taught1 because in that case there would be no marked propulsion of the blood in any direction2 and there was no gainsaying the fact that the blood was forcibly propelled in a definite direction1 and that direction away from the heart4 ,harvey's investigations led him to doubt also the accepted theory that there was a porosity in the septum of tissue that divides the two ventricles of the heart4 ,it seemed unreasonable to suppose that a thick fluid like the blood could find its way through pores so small that they could not be demonstrated by any means devised by man4 ,in evidence that there could be no such openings he pointed out that1 since the two ventricles contract at the same time1 this process would impede rather than facilitate such an intra-ventricular passage of blood4 ,but what seemed the most conclusive proof of all was the fact that in the foetus there existed a demonstrable opening between the two ventricles1 and yet this is closed in the fully developed heart4 ,why should ,nature1 if she intended that blood should pass between the two cavities1 choose to close this opening and substitute microscopic openings in place of it8 ,it would surely seem more reasonable to have the small perforations in the thin1 easily permeable membrane of the foetus1 and the opening in the adult heart1 rather than the reverse4 ,from all this ,harvey drew his correct conclusions1 declaring earnestly1 ,by ,hercules1 there ,,are no such porosities1 and they cannot be demonstrated4 ,having convinced himself that no intra-ventricular opening existed1 he proceeded to study the action of the heart itself1 untrammelled by too much faith in established theories1 and1 as yet1 with no theory of his own4 ,he soon discovered that the commonly accepted theory of the heart striking against the chest-wall during the period of relaxation was entirely wrong1 and that its action was exactly the reverse of this1 the heart striking the chest-wall during contraction4 ,having thus disproved the accepted theory concerning the heart's action1 he took up the subject of the action of arteries1 and soon was able to demonstrate by vivisection that the contraction of the arteries was not simultaneous with contractions of the heart4 ,his experiments demonstrated that these vessels were simply elastic tubes whose pulsations were nothing else than the impulse of the blood within them4 ,the reason that the arterial pulsation was not simultaneous with the heart-beat he found to be because of the time required to carry the impulse along the tube4 ,by a series of further careful examinations and experiments1 which are too extended to be given here1 he was soon able further to demonstrate the action and course of the blood during the contractions of the heart4 ,his explanations were practically the same as those given to-day--first the contraction of the auricle1 sending blood into the ventricle2 then ventricular contraction1 making the pulse1 and sending the blood into the arteries4 ,he had thus demonstrated what had not been generally accepted before1 that the heart was an organ for the propulsion of blood4 ,to make such a statement to-day seems not unlike the sober announcement that the earth is round or that the sun does not revolve about it4 ,before ,harvey's time1 however1 it was considered as an organ that was in some mysterious way the source of vitality and warmth1 as an animated crucible for the concoction of blood and the generation of vital spirits47#c7 ,in watching the rapid and ceaseless contractions of the heart1 ,harvey was impressed with the fact that1 even if a very small amount of blood was sent out at each pulsation1 an enormous quantity must pass through the organ in a day1 or even in an hour4 ,estimating the size of the cavities of the heart1 and noting that at least a drachm must be sent out with each pulsation1 it was evident that the two thousand beats given by a very slow human heart in an hour must send out some forty pounds of blood--more than twice the amount in the entire body4 ,the question was1 what became of it all8 ,for it should be remembered that the return of the blood by the veins was unknown1 and nothing like a circulation more than vaguely conceived even by ,harvey himself4 ,once it could be shown that the veins were constantly returning blood to the heart1 the discovery that the blood in some way passes from the arteries to the veins was only a short step4 ,harvey1 by resorting to vivisections of lower animals and reptiles1 soon demonstrated beyond question the fact that the veins do carry the return blood4 ,but this1 in particular1 can be shown clearer than daylight1 says ,harvey4 ,the vena cava enters the heart at an inferior portion1 while the artery passes out above4 ,now if the vena cava be taken up with forceps or the thumb and finger1 and the course of the blood intercepted for some distance below the heart1 you will at once see it almost emptied between the fingers and the heart1 the blood being exhausted by the heart's pulsation1 the heart at the same time becoming much paler even in its dilatation1 smaller in size1 owing to the deficiency of blood1 and at length languid in pulsation1 as if about to die4 ,on the other hand1 when you release the vein the heart immediately regains its color and dimensions4 ,after that1 if you leave the vein free and tie and compress the arteries at some distance from the heart1 you will see1 on the contrary1 their included portion grow excessively turgid1 the heart becoming so beyond measure1 assuming a dark-red color1 even to lividity1 and at length so overloaded with blood as to seem in danger of suffocation2 but when the obstruction is removed it returns to its normal condition1 in size1 color1 and movement47#d7 ,this conclusive demonstration that the veins return the blood to the heart must have been most impressive to ,harvey1 who had been taught to believe that the blood current in the veins pursued an opposite course1 and must have tended to shake his faith in all existing doctrines of the day4 ,his next step was the natural one of demonstrating that the blood passes from the arteries to the veins4 ,he demonstrated conclusively that this did occur1 but for once his rejection of the ancient writers and one modern one was a mistake4 ,for ,galen had taught1 and had attempted to demonstrate1 that there are sets of minute vessels connecting the arteries and the veins2 and ,servetus had shown that there must be such vessels1 at least in the lungs4 ,however1 the little flaw in the otherwise complete demonstration of ,harvey detracts nothing from the main issue at stake4 ,it was for others who followed to show just how these small vessels acted in effecting the transfer of the blood from artery to vein1 and the grand general statement that such a transfer does take place was1 after all1 the all-important one1 and the exact method of how it takes place a detail4 ,harvey's experiments to demonstrate that the blood passes from the arteries to the veins are so simply and concisely stated that they may best be given in his own words4 ,i have here to cite certain experiments1 he wrote1 from which it seems obvious that the blood enters a limb by the arteries1 and returns from it by the veins2 that the arteries are the vessels carrying the blood from the heart1 and the veins the returning channels of the blood to the heart2 that in the limbs and extreme parts of the body the blood passes either by anastomosis from the arteries into the veins1 or immediately by the pores of the flesh1 or in both ways1 as has already been said in speaking of the passage of the blood through the lungs2 whence it appears manifest that in the circuit the blood moves from thence hither1 and hence thither2 from the centre to the extremities1 to wit1 and from the extreme parts back again to the centre4 ,finally1 upon grounds of circulation1 with the same elements as before1 it will be obvious that the quantity can neither be accounted for by the ingesta1 nor yet be held necessary to nutrition4 ,now let any one make an experiment on the arm of a man1 either using such a fillet as is employed in blood-letting or grasping the limb tightly with his hand1 the best subject for it being one who is lean1 and who has large veins1 and the best time after exercise1 when the body is warm1 the pulse is full1 and the blood carried in large quantities to the extremities1 for all then is more conspicuous2 under such circumstances let a ligature be thrown about the extremity and drawn as tightly as can be borne3 it will first be perceived that beyond the ligature neither in the wrist nor anywhere else do the arteries pulsate1 that at the same time immediately above the ligature the artery begins to rise higher at each diastole1 to throb more violently1 and to swell in its vicinity with a kind of tide1 as if it strove to break through and overcome the obstacle to its current2 the artery here1 in short1 appears as if it were permanently full4 ,the hand under such circumstances retains its natural color and appearances2 in the course of time it begins to fall somewhat in temperature1 indeed1 but nothing is ,,drawn into it4 ,after the bandage has been kept on some short time in this way1 let it be slackened a little1 brought to the state or term of middling tightness which is used in bleeding1 and it will be seen that the whole hand and arm will instantly become deeply suffused and distended1 injected1 gorged with blood1 ,,drawn1 as it is said1 by this middling ligature1 without pain1 or heat1 or any horror of a vacuum1 or any other cause yet indicated4 ,as we have noted1 in connection with the tight ligature1 that the artery above the bandage was distended and pulsated1 not below it1 so1 in the case of the moderately tight bandage1 on the contrary1 do we find that the veins below1 never above1 the fillet swell and become dilated1 while the arteries shrink2 and such is the degree of distention of the veins here that it is only very strong pressure that will force the blood beyond the fillet and cause any of the veins in the upper part of the arm to rise4 ,from these facts it is easy for any careful observer to learn that the blood enters an extremity by the arteries2 for when they are effectively compressed nothing is ,,drawn to the member2 the hand preserves its color2 nothing flows into it1 neither is it distended2 but when the pressure is diminished1 as it is with the bleeding fillet1 it is manifest that the blood is instantly thrown in with force1 for then the hand begins to swell2 which is as much as to say that when the arteries pulsate the blood is flowing through them1 as it is when the moderately tight ligature is applied2 but when they do not pulsate1 or when a tight ligature is used1 they cease from transmitting anything2 they are only distended above the part where the ligature is applied4 ,the veins again being compressed1 nothing can flow through them2 the certain indication of which is that below the ligature they are much more tumid than above it1 and than they usually appear when there is no bandage upon the arm4 ,it therefore plainly appears that the ligature prevents the return of the blood through the veins to the parts above it1 and maintains those beneath it in a state of permanent distention4 ,but the arteries1 in spite of the pressure1 and under the force and impulse of the heart1 send on the blood from the internal parts of the body to the parts beyond the bandage47#e7 ,this use of ligatures is very significant1 because1 as shown1 a very tight ligature stops circulation in both arteries and veins1 while a loose one1 while checking the circulation in the veins1 which lie nearer the surface and are not so directly influenced by the force of the heart1 does not stop the passage of blood in the arteries1 which are usually deeply imbedded in the tissues1 and not so easily influenced by pressure from without4 ,the last step of ,harvey's demonstration was to prove that the blood does flow along the veins to the heart1 aided by the valves that had been the cause of so much discussion and dispute between the great sixteenth-century anatomists4 ,harvey not only demonstrated the presence of these valves1 but showed conclusively1 by simple experiments1 what their function was1 thus completing his demonstration of the phenomena of the circulation4 ,the final ocular demonstration of the passage of the blood from the arteries to the veins was not to be made until four years after ,harvey's death4 ,this process1 which can be observed easily in the web of a frog's foot by the aid of a low-power lens1 was first demonstrated by ,marcello ,malpighi 7#afbh-afid7 in #affa4 ,by the aid of a lens he first saw the small capillary vessels connecting the veins and arteries in a piece of dried lung4 ,taking his cue from this1 he examined the lung of a turtle1 and was able to see in it the passage of the corpuscles through these minute vessels1 making their way along these previously unknown channels from the arteries into the veins on their journey back to the heart4 ,thus the work of ,harvey1 all but complete1 was made absolutely entire by the great ,italian4 ,and all this in a single generation4 ,,leeuwenhoek ,,discovers ,,bacteria ,the seventeenth century was not to close1 however1 without another discovery in science1 which1 when applied to the causation of disease almost two centuries later1 revolutionized therapeutics more completely than any one discovery4 ,this was the discovery of microbes1 by ,antonius von ,leeuwenhoek 7#afcb-agbc71 in #afhc4 ,von ,leeuwenhoek discovered that in the white matter between his teeth there were millions of microscopic animals--more1 in fact1 than there were human beings in the united ,netherlands1 and all moving in the most delightful manner4 ,there can be no question that he saw them1 for we can recognize in his descriptions of these various forms of little animals the four principal forms of microbes--the long and short rods of bacilli and bacteria1 the spheres of micrococci1 and the corkscrew spirillum4 ,the presence of these microbes in his mouth greatly annoyed ,antonius1 and he tried various methods of getting rid of them1 such as using vinegar and hot coffee4 ,in doing this he little suspected that he was anticipating modern antiseptic surgery by a century and three-quarters1 and to be attempting what antiseptic surgery is now able to accomplish4 ,for the fundamental principle of antisepsis is the use of medicines for ridding wounds of similar microscopic organisms4 ,von ,leenwenhoek was only temporarily successful in his attempts1 however1 and took occasion to communicate his discovery to the ,royal ,society of ,england1 hoping that they would be interested in this novelty4 ,probably they were1 but not sufficiently so for any member to pursue any protracted investigations or reach any satisfactory conclusions1 and the whole matter was practically forgotten until the middle of the nineteenth century4 ,,viii4 ,,medicine ,,in ,,the ,,sixteenth ,,and ,,seventeenth ,,centuries ,of the half-dozen surgeons who were prominent in the sixteenth century1 ,ambroise ,pare 7#aeag-aeij71 called the father of ,french surgery1 is perhaps the most widely known4 ,he rose from the position of a common barber to that of surgeon to three ,french monarchs1 ,henry ,,ii41 ,francis ,,ii41 and ,charles ,,ix4 ,some of his mottoes are still first principles of the medical man4 ,among others are3 ,he who becomes a surgeon for the sake of money1 and not for the sake of knowledge1 will accomplish nothing2 and ,a tried remedy is better than a newly invented4 ,on his statue is his modest estimate of his work in caring for the wounded1 ,je le pansay1 ,dieu le guarit--,i dressed him1 ,god cured him4 ,it was in this dressing of wounds on the battlefield that he accidentally discovered how useless and harmful was the terribly painful treatment of applying boiling oil to gunshot wounds as advocated by ,john of ,vigo4 ,it happened that after a certain battle1 where there was an unusually large number of casualties1 ,pare found1 to his horror1 that no more boiling oil was available for the surgeons1 and that he should be obliged to dress the wounded by other simpler methods4 ,to his amazement the results proved entirely satisfactory1 and from that day he discarded the hot-oil treatment4 ,as ,pare did not understand ,latin he wrote his treatises in ,french1 thus inaugurating a custom in ,france that was begun by ,paracelsus in ,germany half a century before4 ,he reintroduced the use of the ligature in controlling hemorrhage1 introduced the figure of eight suture in the operation for hare-lip1 improved many of the medico-legal doctrines1 and advanced the practice of surgery generally4 ,he is credited with having successfully performed the operation for strangulated hernia1 but he probably borrowed it from ,peter ,franco 7#aeje-aegj71 who published an account of this operation in #aeef4 ,as this operation is considered by some the most important operation in surgery1 its discoverer is entitled to more than passing notice1 although he was despised and ignored by the surgeons of his time4 ,franco was an illiterate travelling lithotomist--a class of itinerant physicians who were very generally frowned down by the regular practitioners of medicine4 ,but ,franco possessed such skill as an operator1 and appears to have been so earnest in the pursuit of what he considered a legitimate calling1 that he finally overcame the popular prejudice and became one of the salaried surgeons of the republic of ,bern4 ,he was the first surgeon to perform the suprapubic lithotomy operation--the removal of stone through the abdomen instead of through the perineum4 ,his works1 while written in an illiterate style1 give the clearest descriptions of any of the early modern writers4 ,as the fame of ,franco rests upon his operation for prolonging human life1 so the fame of his ,italian contemporary1 ,gaspar ,tagliacozzi 7#aede-aeii71 rests upon his operation for increasing human comfort and happiness by restoring amputated noses4 ,at the time in which he lived amputation of the nose was very common1 partly from disease1 but also because a certain pope had fixed the amputation of that member as the penalty for larceny4 ,tagliacozzi probably borrowed his operation from the ,east2 but he was the first ,western surgeon to perform it and describe it4 ,so great was the fame of his operations that patients flocked to him from all over ,europe1 and each went away with as many noses as he liked4 ,naturally1 the man who directed his efforts to restoring structures that bad been removed by order of the ,church was regarded in the light of a heretic by many theologians2 and though he succeeded in cheating the stake or dungeon1 and died a natural death1 his body was finally cast out of the church in which it had been buried4 ,in the sixteenth century ,germany produced a surgeon1 ,fabricius ,hildanes 7#aefj-afci71 whose work compares favorably with that of ,pare1 and whose name would undoubtedly have been much better known had not the circumstances of the time in which he lived tended to obscure his merits4 ,the blind followers of ,paracelsus could see nothing outside the pale of their master's teachings1 and the disastrous ,thirty ,years' ,war tended to obscure and retard all scientific advances in ,germany4 ,unlike many of his fellow-surgeons1 ,hildanes was well versed in ,latin and ,greek2 and1 contrary to the teachings of ,paracelsus1 he laid particular stress upon the necessity of the surgeon having a thorough knowledge of anatomy4 ,he had a helpmate in his wife1 who was also something of a surgeon1 and she is credited with having first made use of the magnet in removing particles of metal from the eye4 ,hildanes tells of a certain man who had been injured by a small piece of steel in the cornea1 which resisted all his efforts to remove it4 ,after observing ,hildanes' fruitless efforts for a time1 it suddenly occurred to his wife to attempt to make the extraction with a piece of loadstone4 ,while the physician held open the two lids1 his wife attempted to withdraw the steel with the magnet held close to the cornea1 and after several efforts she was successful--which ,hildanes enumerates as one of the advantages of being a married man4 ,hildanes was particularly happy in his inventions of surgical instruments1 many of which were designed for locating and removing the various missiles recently introduced in warfare4 ,the seventeenth century1 which was such a flourishing one for anatomy and physiology1 was not as productive of great surgeons or advances in surgery as the sixteenth had been or the eighteenth was to be4 ,there was a gradual improvement all along the line1 however1 and much of the work begun by such surgeons as ,pare and ,hildanes was perfected or improved4 ,perhaps the most progressive surgeon of the century was an ,englishman1 ,richard ,wiseman 7#afbe-afhf71 who1 like ,harvey1 enjoyed royal favor1 being in the service of all the ,stuart kings4 ,he was the first surgeon to advocate primary amputation1 in gunshot wounds1 of the limbs1 and also to introduce the treatment of aneurisms by compression2 but he is generally rated as a conservative operator1 who favored medication rather than radical operations1 where possible4 ,in ,italy1 ,marcus ,aurelius ,severinus 7#aehj-afef7 and ,peter ,marchettis 7#aehi-afge7 were the leading surgeons of their nation4 ,like many of his predecessors in ,europe1 ,severinus ran amuck with the ,holy ,inquisition and fled from ,naples4 ,but the waning of the powerful arm of the ,church is shown by the fact that he was brought back by the unanimous voice of the grateful citizens1 and lived in safety despite the frowns of the theologians4 ,the sixteenth century cannot be said to have added much of importance in the field of practical medicine1 and1 as in the preceding and succeeding centuries1 was at best only struggling along in the wake of anatomy1 physiology1 and surgery4 ,in the seventeenth century1 however1 at least one discovery in therapeutics was made that has been an inestimable boon to humanity ever since4 ,this was the introduction of cinchona bark 7from which quinine is obtained7 in #afdj4 ,but this century was productive of many medical ,,systems1 and could boast of many great names among the medical profession1 and1 on the whole1 made considerably more progress than the preceding century4 ,of the founders of medical systems1 one of the most widely known is ,jan ,baptista van ,helmont 7#aegh-afdd71 an eccentric genius who constructed a system of medicine of his own and for a time exerted considerable influence4 ,but in the end his system was destined to pass out of existence1 not very long after the death of its author4 ,van ,helmont was not only a physician1 but was master of all the other branches of learning of the time1 taking up the study of medicine and chemistry as an after-thought1 but devoting himself to them with the greatest enthusiasm once he had begun his investigations4 ,his attitude towards existing doctrines was as revolutionary as that of ,paracelsus1 and he rejected the teachings of ,galen and all the ancient writers1 although retaining some of the views of ,paracelsus4 ,he modified the archaeus of ,paracelsus1 and added many complications to it4 ,he believed the whole body to be controlled by an archaeus influus1 the soul by the archaei insiti1 and these in turn controlled by the central archeus4 ,his system is too elaborate and complicated for full explanation1 but its chief service to medicine was in introducing new chemical methods in the preparation of drugs4 ,in this way he was indirectly connected with the establishment of the ,iatrochemical school4 ,it was he who first used the word gas--a word coined by him1 along with many others that soon fell into disuse4 ,the principles of the ,iatrochemical school were the use of chemical medicines1 and a theory of pathology different from the prevailing humoral pathology4 ,the founder of this school was ,sylvius 7,franz de le ,boe1 #afad-afgb71 professor of medicine at ,leyden4 ,he attempted to establish a permanent system of medicine based on the newly discovered theory of the circulation and the new chemistry1 but his name is remembered by medical men because of the fissure in the brain 7fissure of ,sylvius7 that bears it4 ,he laid great stress on the cause of fevers and other diseases as originating in the disturbances of the process of fermentation in the stomach4 ,the doctrines of ,sylvius spread widely over the continent1 but were not generally accepted in ,england until modified by ,thomas ,willis 7#afbb-afge71 whose name1 like that of ,sylvius1 is perpetuated by a structure in the brain named after him1 the circle of ,willis4 ,willis's descriptions of certain nervous diseases1 and an account of diabetes1 are the first recorded1 and added materially to scientific medicine4 ,these schools of medicine lasted until the end of the seventeenth century1 when they were finally overthrown by ,sydenham4 ,the ,iatrophysical school 7also called iatromathematical1 iatromechanical1 or physiatric7 was founded on theories of physiology1 probably by ,borelli1 of ,naples 7#afjh-afgi71 although ,sanctorius2 ,sanctorius1 a professor at ,padua1 was a precursor1 if not directly interested in establishing it4 ,sanctorius discovered the fact that an insensible perspiration is being given off by the body continually1 and was amazed to find that loss of weight in this way far exceeded the loss of weight by all other excretions of the body combined4 ,he made this discovery by means of a peculiar weighing-machine to which a chair was attached1 and in which he spent most of his time4 ,very naturally he overestimated the importance of this discovery1 but it was1 nevertheless1 of great value in pointing out the hygienic importance of the care of the skin4 ,he also introduced a thermometer which he advocated as valuable in cases of fever1 but the instrument was probably not his own invention1 but borrowed from his friend ,galileo4 ,harvey's discovery of the circulation of the blood laid the foundation of the ,iatrophysical school by showing that this vital process was comparable to a hydraulic system4 ,in his ,on the ,motive of ,animals1 ,borelli first attempted to account for the phenomena of life and diseases on these principles4 ,the iatromechanics held that the great cause of disease is due to different states of elasticity of the solids of the body interfering with the movements of the fluids1 which are themselves subject to changes in density1 one or both of these conditions continuing to cause stagnation or congestion4 ,the school thus founded by ,borelli was the outcome of the unbounded enthusiasm1 with its accompanying exaggeration of certain phenomena with the corresponding belittling of others that naturally follows such a revolutionary discovery as that of ,harvey4 ,having such a founder as the brilliant ,italian ,borelli1 it was given a sufficient impetus by his writings to carry it some distance before it finally collapsed4 ,some of the exaggerated mathematical calculations of ,borelli himself are worth noting4 ,each heart-beat1 as he calculated it1 overcomes a resistance equal to one hundred and eighty thousand pounds2--the modern physiologist estimates its force at from five to nine ounces6 ,,thomas ,,sydenham ,but while the ,continent was struggling with these illusive systems1 and dabbling in mystic theories that were to scarcely outlive the men who conceived them1 there appeared in ,england--the land of common-sense1 as a ,german scientist has called it--a cool1 clear1 and unprejudiced spirit1 who in the golden age of systems declined to be like the man who builds the chambers of the upper story of his house before he had laid securely the foundation walls47#a7 ,this man was ,thomas ,sydenham 7#afbd-afhi71 who1 while the great ,harvey was serving the king as surgeon1 was fighting as a captain in the parliamentary army4 ,sydenham took for his guide the teachings of ,hippocrates1 modified to suit the advances that had been made in scientific knowledge since the days of the great ,greek1 and established1 as a standard1 observation and experience4 ,he cared little for theory unless confirmed by practice1 but took the ,hippocratic view that nature cured diseases1 assisted by the physician4 ,he gave due credit1 however1 to the importance of the part played by the assistant4 ,as he saw it1 medicine could be advanced in three ways3 7#a7 ,by accurate descriptions or natural histories of diseases2 7#b7 by establishing a fixed principle or method of treatment1 founded upon experience2 7#c7 by searching for specific remedies1 which he believes must exist in considerable numbers1 though he admits that the only one yet discovered is ,peruvian bark47#b7 ,as it happened1 another equally specific remedy1 mercury1 when used in certain diseases1 was already known to him1 but he evidently did not recognize it as such4 ,the influence on future medicine of ,sydenham's teachings was most pronounced1 due mostly to his teaching of careful observation4 ,to most physicians1 however1 he is now remembered chiefly for his introduction of the use of laudanum1 still considered one of the most valuable remedies of modern pharmacopoeias4 ,the ,german gives the honor of introducing this preparation to ,paracelsus1 but the ,english-speaking world will always believe that the credit should be given to ,sydenham4 ,,ix4 ,,philosopher-,,scientists ,,and ,,new ,,institutions ,,of ,,learning ,we saw that in the old ,greek days there was no sharp line of demarcation between the field of the philosopher and that of the scientist4 ,in the ,hellenistic epoch1 however1 knowledge became more specialized1 and our recent chapters have shown us scientific investigators whose efforts were far enough removed from the intangibilities of the philosopher4 ,it must not be overlooked1 however1 that even in the present epoch there were men whose intellectual efforts were primarily directed towards the subtleties of philosophy1 yet who had also a penchant for strictly scientific imaginings1 if not indeed for practical scientific experiments4 ,at least three of these men were of sufficient importance in the history of the development of science to demand more than passing notice4 ,these three are the ,englishman ,francis ,bacon 7#aefa-afbf71 the ,frenchman ,rene ,descartes 7#aeif-afej72 and the ,german ,gottfried ,leibnitz 7#afdf-agaf74 ,bacon1 as the earliest path-breaker1 showed the way1 theoretically at least1 in which the sciences should be studied2 ,descartes1 pursuing the methods pointed out by ,bacon1 carried the same line of abstract reason into practice as well2 while ,leibnitz1 coming some years later1 and having the advantage of the wisdom of his two great predecessors1 was naturally influenced by both in his views of abstract scientific principles4 ,bacon's career as a statesman and his faults and misfortunes as a man do not concern us here4 ,our interest in him begins with his entrance into ,trinity ,college1 ,cambridge1 where he took up the study of all the sciences taught there at that time4 ,during the three years he became more and more convinced that science was not being studied in a profitable manner1 until at last1 at the end of his college course1 he made ready to renounce the old ,aristotelian methods of study and advance his theory of inductive study4 ,for although he was a great admirer of ,aristotle's work1 he became convinced that his methods of approaching study were entirely wrong4 ,the opinion of ,aristotle1 he says1 in his ,de ,argumentum ,scientiarum1 seemeth to me a negligent opinion1 that of those things which exist by nature nothing can be changed by custom2 using for example1 that if a stone be thrown ten thousand times up it will not learn to ascend2 and that by often seeing or hearing we do not learn to see or hear better4 ,for though this principle be true in things wherein nature is peremptory 7the reason whereof we cannot now stand to discuss71 yet it is otherwise in things wherein nature admitteth a latitude4 ,for he might see that a straight glove will come more easily on with use2 and that a wand will by use bend otherwise than it grew2 and that by use of the voice we speak louder and stronger2 and that by use of enduring heat or cold we endure it the better1 and the like2 which latter sort have a nearer resemblance unto that subject of manners he handleth than those instances which he allegeth47#a7 ,these were his opinions1 formed while a young man in college1 repeated at intervals through his maturer years1 and reiterated and emphasized in his old age4 ,masses of facts were to be obtained by observing nature at first hand1 and from such accumulations of facts deductions were to be made4 ,in short1 reasoning was to be from the specific to the general1 and not vice versa4 ,it was by his teachings alone that ,bacon thus contributed to the foundation of modern science2 and1 while he was constantly thinking and writing on scientific subjects1 he contributed little in the way of actual discoveries4 ,i only sound the clarion1 he said1 but ,i enter not the battle4 ,the case of ,descartes1 however1 is different4 ,he both sounded the clarion and entered into the fight4 ,he himself freely acknowledges his debt to ,bacon for his teachings of inductive methods of study1 but modern criticism places his work on the same plane as that of the great ,englishman4 ,if you lay hold of any characteristic product of modern ways of thinking1 says ,huxley1 either in the region of philosophy or in that of science1 you find the spirit of that thought1 if not its form1 has been present in the mind of the great ,frenchman47#b7 ,descartes1 the son of a noble family of ,france1 was educated by ,jesuit teachers4 ,like ,bacon1 he very early conceived the idea that the methods of teaching and studying science were wrong1 but be pondered the matter well into middle life before putting into writing his ideas of philosophy and science4 ,then1 in his ,discourse ,touching the ,method of ,using ,one's ,reason ,rightly and of ,seeking ,scientific ,truth1 he pointed out the way of seeking after truth4 ,his central idea in this was to emphasize the importance of ,,doubt1 and avoidance of accepting as truth anything that does not admit of absolute and unqualified proof4 ,in reaching these conclusions he had before him the striking examples of scientific deductions by ,galileo1 and more recently the discovery of the circulation of the blood by ,harvey4 ,this last came as a revelation to scientists1 reducing this seemingly occult process1 as it did1 to the field of mechanical phenomena4 ,the same mechanical laws that governed the heavenly bodies1 as shown by ,galileo1 governed the action of the human heart1 and1 for aught any one knew1 every part of the body1 and even the mind itself4 ,having once conceived this idea1 ,descartes began a series of dissections and experiments upon the lower animals1 to find1 if possible1 further proof of this general law4 ,to him the human body was simply a machine1 a complicated mechanism1 whose functions were controlled just as any other piece of machinery4 ,he compared the human body to complicated machinery run by water-falls and complicated pipes4 ,the nerves of the machine which ,i am describing1 he says1 may very well be compared to the pipes of these waterworks2 its muscles and its tendons to the other various engines and springs which seem to move them2 its animal spirits to the water which impels them1 of which the heart is the fountain2 while the cavities of the brain are the central office4 ,moreover1 respiration and other such actions as are natural and usual in the body1 and which depend on the course of the spirits1 are like the movements of a clock1 or a mill1 which may be kept up by the ordinary flow of water47#c7 ,in such passages as these ,descartes anticipates the ideas of physiology of the present time4 ,he believed that the functions are performed by the various organs of the bodies of animals and men as a mechanism1 to which in man was added the soul4 ,this soul he located in the pineal gland1 a degenerate and presumably functionless little organ in the brain4 ,for years ,descartes's idea of the function of this gland was held by many physiologists1 and it was only the introduction of modern high-power microscopy that reduced this also to a mere mechanism1 and showed that it is apparently the remains of a ,cyclopean eye once common to man's remote ancestors4 ,descartes was the originator of a theory of the movements of the universe by a mechanical process--the ,cartesian theory of vortices--which for several decades after its promulgation reigned supreme in science4 ,it is the ingenuity of this theory1 not the truth of its assertions1 that still excites admiration1 for it has long since been supplanted4 ,it was certainly the best hitherto advanced--the best that the observations of the age admitted1 according to ,d',alembert4 ,according to this theory the infinite universe is full of matter1 there being no such thing as a vacuum4 ,matter1 as ,descartes believed1 is uniform in character throughout the entire universe1 and since motion cannot take place in any part of a space completely filled1 without simultaneous movement in all other parts1 there are constant more or less circular movements1 vortices1 or whirlpools of particles1 varying1 of course1 in size and velocity4 ,as a result of this circular movement the particles of matter tend to become globular from contact with one another4 ,two species of matter are thus formed1 one larger and globular1 which continue their circular motion with a constant tendency to fly from the centre of the axis of rotation1 the other composed of the clippings resulting from the grinding process4 ,these smaller filings from the main bodies1 becoming smaller and smaller1 gradually lose their velocity and accumulate in the centre of the vortex4 ,this collection of the smaller matter in the centre of the vortex constitutes the sun or star1 while the spherical particles propelled in straight lines from the centre towards the circumference of the vortex produce the phenomenon of light radiating from the central star4 ,thus this matter becomes the atmosphere revolving around the accumulation at the centre4 ,but the small particles being constantly worn away from the revolving spherical particles in the vortex1 become entangled in their passage1 and when they reach the edge of the inner strata of solar dust they settle upon it and form what we call sun-spots4 ,these are constantly dissolved and reformed1 until sometimes they form a crust round the central nucleus4 ,as the expansive force of the star diminishes in the course of time1 it is encroached upon by neighboring vortices4 ,if the part of the encroaching star be of a less velocity than the star which it has swept up1 it will presently lose its hold1 and the smaller star pass out of range1 becoming a comet4 ,but if the velocity of the vortex into which the incrusted star settles be equivalent to that of the surrounded vortex1 it will hold it as a captive1 still revolving and wrapt in its own firmament4 ,thus the several planets of our solar system have been captured and held by the sun-vortex1 as have the moon and other satellites4 ,but although these new theories at first created great enthusiasm among all classes of philosophers and scientists1 they soon came under the ban of the ,church4 ,while no actual harm came to ,descartes himself1 his writings were condemned by the ,catholic and ,protestant churches alike4 ,the spirit of philosophical inquiry he had engendered1 however1 lived on1 and is largely responsible for modern philosophy4 ,in many ways the life and works of ,leibnitz remind us of ,bacon rather than ,descartes4 ,his life was spent in filling high political positions1 and his philosophical and scientific writings were by-paths of his fertile mind4 ,he was a theoretical rather than a practical scientist1 his contributions to science being in the nature of philosophical reasonings rather than practical demonstrations4 ,had he been able to withdraw from public life and devote himself to science alone1 as ,descartes did1 he would undoubtedly have proved himself equally great as a practical worker4 ,but during the time of his greatest activity in philosophical fields1 between the years #afij and #agaf1 he was all the time performing extraordinary active duties in entirely foreign fields4 ,his work may be regarded1 perhaps1 as doing for ,germany in particular what ,bacon's did for ,england and the rest of the world in general4 ,only a comparatively small part of his philosophical writings concern us here4 ,according to his theory of the ultimate elements of the universe1 the entire universe is composed of individual centres1 or monads4 ,to these monads he ascribed numberless qualities by which every phase of nature may be accounted4 ,they were supposed by him to be percipient1 self-acting beings1 not under arbitrary control of the deity1 and yet ,god himself was the original monad from which all the rest are generated4 ,with this conception as a basis1 ,leibnitz deduced his doctrine of pre-established harmony1 whereby the numerous independent substances composing the world are made to form one universe4 ,he believed that by virtue of an inward energy monads develop themselves spontaneously1 each being independent of every other4 ,in short1 each monad is a kind of deity in itself--a microcosm representing all the great features of the macrocosm4 ,it would be impossible clearly to estimate the precise value of the stimulative influence of these philosophers upon the scientific thought of their time4 ,there was one way1 however1 in which their influence was made very tangible--namely1 in the incentive they gave to the foundation of scientific societies4 ,,scientific ,,societies ,at the present time1 when the elements of time and distance are practically eliminated in the propagation of news1 and when cheap printing has minimized the difficulties of publishing scientific discoveries1 it is difficult to understand the isolated position of the scientific investigation of the ages that preceded steam and electricity4 ,shut off from the world and completely out of touch with fellow-laborers perhaps only a few miles away1 the investigators were naturally seriously handicapped2 and inventions and discoveries were not made with the same rapidity that they would undoubtedly have been had the same men been receiving daily1 weekly1 or monthly communications from fellow-laborers all over the world1 as they do to-day4 ,neither did they have the advantage of public or semi-public laboratories1 where they were brought into contact with other men1 from whom to gather fresh trains of thought and receive the stimulus of their successes or failures4 ,in the natural course of events1 however1 neighbors who were interested in somewhat similar pursuits1 not of the character of the rivalry of trade or commerce1 would meet more or less frequently and discuss their progress4 ,the mutual advantages of such intercourse would be at once appreciated2 and it would be but a short step from the casual meeting of two neighborly scientists to the establishment of societies1 meeting at fixed times1 and composed of members living within reasonable travelling distance4 ,there would1 perhaps1 be the weekly or monthly meetings of men in a limited area2 and as the natural outgrowth of these little local societies1 with frequent meetings1 would come the formation of larger societies1 meeting less often1 where members travelled a considerable distance to attend4 ,and1 finally1 with increased facilities for communication and travel1 the great international societies of to-day would be produced--the natural outcome of the neighborly meetings of the primitive mediaeval investigators4 ,in ,italy1 at about the time of ,galileo1 several small societies were formed4 ,one of the most important of these was the ,lyncean ,society1 founded about the year #afaa1 ,galileo himself being a member4 ,this society was succeeded by the ,accademia del ,cimento1 at ,florence1 in #afeg1 which for a time flourished1 with such a famous scientist as ,torricelli as one of its members4 ,in ,england an impetus seems to have been given by ,sir ,francis ,bacon's writings in criticism and censure of the system of teaching in colleges4 ,it is supposed that his suggestions as to what should be the aims of a scientific society led eventually to the establishment of the ,royal ,society4 ,he pointed out how little had really been accomplished by the existing institutions of learning in advancing science1 and asserted that little good could ever come from them while their methods of teaching remained unchanged4 ,he contended that the system which made the lectures and exercises of such a nature that no deviation from the established routine could be thought of was pernicious4 ,but he showed that if any teacher had the temerity to turn from the traditional paths1 the daring pioneer was likely to find insurmountable obstacles placed in the way of his advancement4 ,the studies were imprisoned within the limits of a certain set of authors1 and originality in thought or teaching was to be neither contemplated nor tolerated4 ,the words of ,bacon1 given in strong and unsparing terms of censure and condemnation1 but nevertheless with perfect justification1 soon bore fruit4 ,as early as the year #afde a small company of scientists had been in the habit of meeting at some place in ,london to discuss philosophical and scientific subjects for mental advancement4 ,in #afdh1 owing to the political disturbances of the time1 some of the members of these meetings removed to ,oxford1 among them ,boyle1 ,wallis1 and ,wren1 where the meetings were continued1 as were also the meetings of those left in ,london4 ,in #affb1 however1 when the political situation bad become more settled1 these two bodies of men were united under a charter from ,charles ,,ii41 and ,bacon's ideas were practically expressed in that learned body1 the ,royal ,society of ,london4 ,and it matters little that in some respects ,bacon's views were not followed in the practical workings of the society1 or that the division of labor in the early stages was somewhat different than at present4 ,the aim of the society has always been one for the advancement of learning2 and if ,bacon himself could look over its records1 he would surely have little fault to find with the aid it has given in carrying out his ideas for the promulgation of useful knowledge4 ,ten years after the charter was granted to the ,royal ,society of ,london1 ,lord ,bacon's words took practical effect in ,germany1 with the result that the ,academia ,naturae ,curiosorum was founded1 under the leadership of ,professor ,j4 ,c4 ,sturm4 ,the early labors of this society were devoted to a repetition of the most notable experiments of the time1 and the work of the embryo society was published in two volumes1 in #afgb and #afhe respectively1 which were practically text-books of the physics of the period4 ,it was not until #agjj that ,frederick ,i4 founded the ,royal ,academy of ,sciences at ,berlin1 after the elaborate plan of ,leibnitz1 who was himself the first president4 ,perhaps the nearest realization of ,bacon's ideal1 however1 is in the ,royal ,academy of ,sciences at ,paris1 which was founded in #afff under the administration of ,colbert1 during the reign of ,louis ,,xiv4 ,this institution not only recognized independent members1 but had besides twenty pensionnaires who received salaries from the government4 ,in this way a select body of scientists were enabled to pursue their investigations without being obliged to give thought to the morrow for their sustenance4 ,in return they were to furnish the meetings with scientific memoirs1 and once a year give an account of the work they were engaged upon4 ,thus a certain number of the brightest minds were encouraged to devote their entire time to scientific research1 delivered alike from the temptations of wealth or the embarrassments of poverty4 ,that such a plan works well is amply attested by the results emanating from the ,french academy4 ,pensionnaires in various branches of science1 however1 either paid by the state or by learned societies1 are no longer confined to ,france4 ,among the other early scientific societies was the ,imperial ,academy of ,sciences at ,st4 ,petersburg1 projected by ,peter the ,great1 and established by his widow1 ,catharine ,i41 in #agbe2 and also the ,royal ,swedish ,academy1 incorporated in #agha1 and counting among its early members such men as the celebrated ,linnaeus4 ,but after the first impulse had resulted in a few learned societies1 their manifest advantage was so evident that additional numbers increased rapidly1 until at present almost every branch of every science is represented by more or less important bodies2 and these are1 individually and collectively1 adding to knowledge and stimulating interest in the many fields of science1 thus vindicating ,lord ,bacon's asseverations that knowledge could be satisfactorily promulgated in this manner4 ,x4 ,,the ,,successors ,,of ,,galileo ,,in ,,physical ,,science ,we have now to witness the diversified efforts of a company of men who1 working for the most part independently1 greatly added to the data of the physical sciences--such men as ,boyle1 ,huygens1 ,von ,gericke1 and ,hooke4 ,it will be found that the studies of these men covered the whole field of physical sciences as then understood--the field of so-called natural philosophy4 ,we shall best treat these successors of ,galileo and precursors of ,newton somewhat biographically1 pointing out the correspondences and differences between their various accomplishments as we proceed4 ,it will be noted in due course that the work of some of them was anticipatory of great achievements of a later century4 ,,robert ,,boyle 7#afbg-afia7 ,some of ,robert ,boyle's views as to the possible structure of atmospheric air will be considered a little farther on in this chapter1 but for the moment we will take up the consideration of some of his experiments upon that as well as other gases4 ,boyle was always much interested in alchemy1 and carried on extensive experiments in attempting to accomplish the transmutation of metals2 but he did not confine himself to these experiments1 devoting himself to researches in all the fields of natural philosophy4 ,he was associated at ,oxford with a company of scientists1 including ,wallis and ,wren1 who held meetings and made experiments together1 these gatherings being the beginning1 as mentioned a moment ago1 of what finally became the ,royal ,society4 ,it was during this residence at ,oxford that many of his valuable researches upon air were made1 and during this time be invented his air-pump1 now exhibited in the ,royal ,society rooms at ,burlington ,house47#a7 ,his experiments to prove the atmospheric pressure are most interesting and conclusive4 ,having three small1 round glass bubbles1 blown at the flame of a lamp1 about the size of hazel-nuts1 he says1 each of them with a short1 slender stem1 by means whereof they were so exactly poised in water that a very small change of weight would make them either emerge or sink2 at a time when the atmosphere was of convenient weight1 ,i put them into a wide-mouthed glass of common water1 and leaving them in a quiet place1 where they were frequently in my eye1 ,i observed that sometimes they would be at the top of the water1 and remain there for several days1 or perhaps weeks1 together1 and sometimes fall to the bottom1 and after having continued there for some time rise again4 ,and sometimes they would rise or fall as the air was hot or cold47#b7 ,it was in the course of these experiments that the observations made by ,boyle led to the invention of his statical barometer1 the mercurial barometer having been invented1 as we have seen1 by ,torricelli1 in #afdc4 ,in describing this invention he says3 ,making choice of a large1 thin1 and light glass bubble1 blown at the flame of a lamp1 ,i counterpoised it with a metallic weight1 in a pair of scales that were suspended in a frame1 that would turn with the thirtieth part of a grain4 ,both the frame and the balance were then placed near a good barometer1 whence ,i might learn the present weight of the atmosphere2 when1 though the scales were unable to show all the variations that appeared in the mercurial barometer1 yet they gave notice of those that altered the height of the mercury half a quarter of an inch47#c7 ,a fairly sensitive barometer1 after all4 ,this statical barometer suggested several useful applications to the fertile imagination of its inventor1 among others the measuring of mountain-peaks1 as with the mercurial barometer1 the rarefication of the air at the top giving a definite ratio to the more condensed air in the valley4 ,another of his experiments was made to discover the atmospheric pressure to the square inch4 ,after considerable difficulty he determined that the relative weight of a cubic inch of water and mercury was about one to fourteen1 and computing from other known weights he determined that when a column of quicksilver thirty inches high is sustained in the barometer1 as it frequently happens1 a column of air that presses upon an inch square near the surface of the earth must weigh about fifteen avoirdupois pounds47#d7 ,as the pressure of air at the sea-level is now estimated at #ad4gcjd pounds to the square inch1 it will be seen that ,boyle's calculation was not far wrong4 ,from his numerous experiments upon the air1 ,boyle was led to believe that there were many latent qualities due to substances contained in it that science had as yet been unable to fathom1 believing that there is not a more heterogeneous body in the world4 ,he believed that contagious diseases were carried by the air1 and suggested that eruptions of the earth1 such as those made by earthquakes1 might send up venomous exhalations that produced diseases4 ,he suggested also that the air might play an important part in some processes of calcination1 which1 as we shall see1 was proved to be true by ,lavoisier late in the eighteenth century4 ,boyle's notions of the exact chemical action in these phenomena were of course vague and indefinite1 but he had observed that some part was played by the air1 and he was right in supposing that the air may have a great share in varying the salts obtainable from calcined vitriol47#e7 ,although he was himself such a painstaking observer of facts1 he had the fault of his age of placing too much faith in hear-say evidence of untrained observers4 ,thus1 from the numerous stories he heard concerning the growth of metals in previously exhausted mines1 he believed that the air was responsible for producing this growth--in which he undoubtedly believed4 ,the story of a tin-miner that1 in his own time1 after a lapse of only twenty-five years1 a heap1 of earth previously exhausted of its ore became again even more richly impregnated than before by lying exposed to the air1 seems to have been believed by the philosopher4 ,as ,boyle was an alchemist1 and undoubtedly believed in the alchemic theory that metals have spirits and various other qualities that do not exist1 it is not surprising that he was credulous in the matter of beliefs concerning peculiar phenomena exhibited by them4 ,furthermore1 he undoubtedly fell into the error common to specialists1 or persons working for long periods of time on one subject--the error of over-enthusiasm in his subject4 ,he had discovered so many remarkable qualities in the air that it is not surprising to find that he attributed to it many more that he could not demonstrate4 ,boyle's work upon colors1 although probably of less importance than his experiments and deductions upon air1 show that he was in the van as far as the science of his day was concerned4 ,as he points out1 the schools of his time generally taught that color is a penetrating quality1 reaching to the innermost part of the substance1 and1 as an example of this1 sealing-wax was cited1 which could be broken into minute bits1 each particle retaining the same color as its fellows or the original mass4 ,to refute this theory1 and to show instances to the contrary1 ,boyle1 among other things1 shows that various colors--blue1 red1 yellow--may be produced upon tempered steel1 and yet the metal within a hair's-breadth of its surface have none of these colors4 ,therefore1 he was led to believe that color1 in opaque bodies at least1 is superficial4 ,but before we descend to a more particular consideration of our subject1 he says1 'tis proper to observe that colors may be regarded either as a quality residing in bodies to modify light after a particular manner1 or else as light itself so modified as to strike upon the organs of sight1 and cause the sensation we call color2 and that this latter is the more proper acceptation of the word color will appear hereafter4 ,and indeed it is the light itself1 which after a certain manner1 either mixed with shades or other-wise1 strikes our eyes and immediately produces that motion in the organ which gives us the color of an object47#f7 ,in examining smooth and rough surfaces to determine the cause of their color1 he made use of the microscope1 and pointed out the very obvious example of the difference in color of a rough and a polished piece of the same block of stone4 ,he used some striking illustrations of the effect of light and the position of the eye upon colors4 ,thus the color of plush or velvet will appear various if you stroke part of it one way and part another1 the posture of the particular threads in regard to the light1 or the eye1 being thereby varied4 ,and 'tis observable that in a field of ripe corn1 blown upon by the wind1 there will appear waves of a color different from that of the rest of the corn1 because the wind1 by depressing some of the ears more than others1 causes one to reflect more light from the lateral and strawy parts than another47#g7 ,his work upon color1 however1 as upon light1 was entirely overshadowed by the work of his great fellow-countryman ,newton4 ,boyle's work on electricity was a continuation of ,gilbert's1 to which he added several new facts4 ,he added several substances to ,gilbert's list of electrics1 experimented on smooth and rough surfaces in exciting of electricity1 and made the important discovery that amber retained its attractive virtue after the friction that excited it bad ceased4 ,for the attrition having caused an intestine motion in its parts1 he says1 the heat thereby excited ought not to cease as soon as ever the rubbing is over1 but to continue capable of emitting effluvia for some time afterwards1 longer or shorter according to the goodness of the electric and the degree of the commotion made2 all which1 joined together1 may sometimes make the effect considerable2 and by this means1 on a warm day1 ,i1 with a certain body not bigger than a pea1 but very vigorously attractive1 moved a steel needle1 freely poised1 about three minutes after ,i had left off rubbing it47#h7 ,,mariotte ,,and ,,von ,,guericke ,working contemporaneously with ,boyle1 and a man whose name is usually associated with his as the propounder of the law of density of gases1 was ,edme ,mariotte 7died #afhd71 a native of ,burgundy4 ,mariotte demonstrated that but for the resistance of the atmosphere1 all bodies1 whether light or heavy1 dense or thin1 would fall with equal rapidity1 and he proved this by the well-known guinea-and-feather experiment4 ,having exhausted the air from a long glass tube in which a guinea piece and a feather had been placed1 he showed that in the vacuum thus formed they fell with equal rapidity as often as the tube was reversed4 ,from his various experiments as to the pressure of the atmosphere he deduced the law that the density and elasticity of the atmosphere are precisely proportional to the compressing force 7the law of ,boyle and ,mariotte74 ,he also ascertained that air existed in a state of mechanical mixture with liquids1 existing between their particles in a state of condensation4 ,he made many other experiments1 especially on the collision of bodies1 but his most important work was upon the atmosphere4 ,but meanwhile another contemporary of ,boyle and ,mariotte was interesting himself in the study of the atmosphere1 and had made a wonderful invention and a most striking demonstration4 ,this was ,otto von ,guericke 7#afjb-afhf71 ,burgomaster of ,magdeburg1 and councillor to his most serene and potent ,highness the elector of that place4 ,when not engrossed with the duties of public office1 he devoted his time to the study of the sciences1 particularly pneumatics and electricity1 both then in their infancy4 ,the discoveries of ,galileo1 ,pascal1 and ,torricelli incited him to solve the problem of the creation of a vacuum--a desideratum since before the days of ,aristotle4 ,his first experiments were with a wooden pump and a barrel of water1 but he soon found that with such porous material as wood a vacuum could not be created or maintained4 ,he therefore made use of a globe of copper1 with pump and stop-cock2 and with this he was able to pump out air almost as easily as water4 ,thus1 in #afej1 the air-pump was invented4 ,continuing his experiments upon vacuums and atmospheric pressure with his newly discovered pump1 he made some startling discoveries as to the enormous pressure exerted by the air4 ,it was not his intention1 however1 to demonstrate his newly acquired knowledge by words or theories alone1 nor by mere laboratory experiments2 but he chose instead an open field1 to which were invited ,emperor ,ferdinand ,,iii41 and all the princes of the ,diet at ,ratisbon4 ,when they were assembled he produced two hollow brass hemispheres about two feet in diameter1 and placing their exactly fitting surfaces together1 proceeded to pump out the air from their hollow interior1 thus causing them to stick together firmly in a most remarkable way1 apparently without anything holding them4 ,this of itself was strange enough2 but now the worthy burgomaster produced teams of horses1 and harnessing them to either side of the hemispheres1 attempted to pull the adhering brasses apart4 ,five1 ten1 fifteen teams--thirty horses1 in all--were attached2 but pull and tug as they would they could not separate the firmly clasped hemispheres4 ,the enormous pressure of the atmosphere had been most strikingly demonstrated4 ,but it is one thing to demonstrate1 another to convince2 and many of the good people of ,magdeburg shook their heads over this devil's contrivance1 and predicted that ,heaven would punish the ,herr ,burgomaster1 as indeed it had once by striking his house with lightning and injuring some of his infernal contrivances4 ,they predicted his future punishment1 but they did not molest him1 for to his fellow-citizens1 who talked and laughed1 drank and smoked with him1 and knew him for the honest citizen that he was1 he did not seem bewitched at all4 ,and so he lived and worked and added other facts to science1 and his brass hemispheres were not destroyed by fanatical ,inquisitors1 but are still preserved in the royal library at ,berlin4 ,in his experiments with his air-pump he discovered many things regarding the action of gases1 among others1 that animals cannot live in a vacuum4 ,he invented the anemoscope and the air-balance1 and being thus enabled to weight the air and note the changes that preceded storms and calms1 he was able still further to dumfound his wondering fellow-,magde-burgers by more or less accurate predictions about the weather4 ,von ,guericke did not accept ,gilbert's theory that the earth was a great magnet1 but in his experiments along lines similar to those pursued by ,gilbert1 he not only invented the first electrical machine1 but discovered electrical attraction and repulsion4 ,the electrical machine which he invented consisted of a sphere of sulphur mounted on an iron axis to imitate the rotation of the earth1 and which1 when rubbed1 manifested electrical reactions4 ,when this globe was revolved and stroked with the dry hand it was found that it attached to it all sorts of little fragments1 like leaves of gold1 silver1 paper1 etc4 ,thus this globe1 he says1 when brought rather near drops of water causes them to swell and puff up4 ,it likewise attracts air1 smoke1 etc47#i7 ,before the time of ,guericke's demonstrations1 ,cabaeus had noted that chaff leaped back from an electric1 but he did not interpret the phenomenon as electrical repulsion4 ,von ,guericke1 however1 recognized it as such1 and refers to it as what he calls expulsive virtue4 ,even expulsive virtue is seen in this globe1 he says1 for it not only attracts1 but also ,,repels again from itself little bodies of this sort1 nor does it receive them until they have touched something else4 ,it will be observed from this that he was very close to discovering the discharge of the electrification of attracted bodies by contact with some other object1 after which they are reattracted by the electric4 ,he performed a most interesting experiment with his sulphur globe and a feather1 and in doing so came near anticipating ,benjamin ,franklin in his discovery of the effects of pointed conductors in drawing off the discharge4 ,having revolved and stroked his globe until it repelled a bit of down1 he removed the globe from its rack and advancing it towards the now repellent down1 drove it before him about the room4 ,in this chase he observed that the down preferred to alight against the points of any object whatsoever4 ,he noticed that should the down chance to be driven within a few inches of a lighted candle1 its attitude towards the globe suddenly changed1 and instead of running away from it1 it now flew to it for protection--the charge on the down having been dissipated by the hot air4 ,he also noted that if one face of a feather had been first attracted and then repelled by the sulphur ball1 that the surface so affected was always turned towards the globe2 so that if the positions of the two were reversed1 the sides of the feather reversed also4 ,still another important discovery1 that of electrical conduction1 was made by ,von ,guericke4 ,until his discovery no one had observed the transference of electricity from one body to another1 although ,gilbert had some time before noted that a rod rendered magnetic at one end became so at the other4 ,von ,guericke's experiments were made upon a linen thread with his sulphur globe1 which1 he says1 having been previously excited by rubbing1 can exercise likewise its virtue through a linen thread an ell or more long1 and there attract something4 ,but this discovery1 and his equally important one that the sulphur ball becomes luminous when rubbed1 were practically forgotten until again brought to notice by the discoveries of ,francis ,hauksbee and ,stephen ,gray early in the eighteenth century4 ,from this we may gather that ,von ,guericke himself did not realize the import of his discoveries1 for otherwise he would certainly have carried his investigations still further4 ,but as it was he turned his attention to other fields of research4 ,,robert ,,hooke ,a slender1 crooked1 shrivelled-limbed1 cantankerous little man1 with dishevelled hair and haggard countenance1 bad-tempered and irritable1 penurious and dishonest1 at least in his claims for priority in discoveries--this is the picture usually drawn1 alike by friends and enemies1 of ,robert ,hooke 7#afce-agjc71 a man with an almost unparalleled genius for scientific discoveries in almost all branches of science4 ,history gives few examples so striking of a man whose really great achievements in science would alone have made his name immortal1 and yet who had the pusillanimous spirit of a charlatan--an almost insane mania1 as it seems--for claiming the credit of discoveries made by others4 ,this attitude of mind can hardly be explained except as a mania3 it is certainly more charitable so to regard it4 ,for his own discoveries and inventions were so numerous that a few more or less would hardly have added to his fame1 as his reputation as a philosopher was well established4 ,admiration for his ability and his philosophical knowledge must always be marred by the recollection of his arrogant claims to the discoveries of other philosophers4 ,it seems pretty definitely determined that ,hooke should be credited with the invention of the balance-spring for regulating watches2 but for a long time a heated controversy was waged between ,hooke and ,huygens as to who was the real inventor4 ,it appears that ,hooke conceived the idea of the balance-spring1 while to ,huygens belongs the credit of having adapted the ,,coiled spring in a working model4 ,he thus made practical ,hooke's conception1 which is without value except as applied by the coiled spring2 but1 nevertheless1 the inventor1 as well as the perfector1 should receive credit4 ,in this controversy1 unlike many others1 the blame cannot be laid at ,hooke's door4 ,hooke was the first curator of the ,royal ,society1 and when anything was to be investigated1 usually invented the mechanical devices for doing so4 ,astronomical apparatus1 instruments for measuring specific weights1 clocks and chronometers1 methods of measuring the velocity of falling bodies1 freezing and boiling points1 strength of gunpowder1 magnetic instruments--in short1 all kinds of ingenious mechanical devices in all branches of science and mechanics4 ,it was he who made the famous air-pump of ,robert ,boyle1 based on ,boyle's plans4 ,incidentally1 ,hooke claimed to be the inventor of the first air-pump himself1 although this claim is now entirely discredited4 ,within a period of two years he devised no less than thirty different methods of flying1 all of which1 of course1 came to nothing1 but go to show the fertile imagination of the man1 and his tireless energy4 ,he experimented with electricity and made some novel suggestions upon the difference between the electric spark and the glow1 although on the whole his contributions in this field are unimportant4 ,he also first pointed out that the motions of the heavenly bodies must be looked upon as a mechanical problem1 and was almost within grasping distance of the exact theory of gravitation1 himself originating the idea of making use of the pendulum in measuring gravity4 ,likewise1 he first proposed the wave theory of light2 although it was ,huygens who established it on its present foundation4 ,hooke published1 among other things1 a book of plates and descriptions of his ,microscopical ,observations1 which gives an idea of the advance that had already been made in microscopy in his time4 ,two of these plates are given here1 which1 even in this age of microscopy1 are both interesting and instructive4 ,these plates are made from prints of ,hooke's original copper plates1 and show that excellent lenses were made even at that time4 ,they illustrate1 also1 how much might have been accomplished in the field of medicine if more attention had been given to microscopy by physicians4 ,even a century later1 had physicians made better use of their microscopes1 they could hardly have overlooked such an easily found parasite as the itch mite1 which is quite as easily detected as the cheese mite1 pictured in ,hooke's book4 ,in justice to ,hooke1 and in extenuation of his otherwise inexcusable peculiarities of mind1 it should be remembered that for many years he suffered from a painful and wasting disease4 ,this may have affected his mental equilibrium1 without appreciably affecting his ingenuity4 ,in his own time this condition would hardly have been considered a disease2 but to-day1 with our advanced ideas as to mental diseases1 we should be more inclined to ascribe his unfortunate attitude of mind to a pathological condition1 rather than to any manifestation of normal mentality4 ,from this point of view his mental deformity seems not unlike that of ,cavendish's1 later1 except that in the case of ,cavendish it manifested itself as an abnormal sensitiveness instead of an abnormal irritability4 ,,christian ,,huygens ,if for nothing else1 the world is indebted to the man who invented the pendulum clock1 ,christian ,huygens 7#afbi-afie71 of the ,hague1 inventor1 mathematician1 mechanician1 astronomer1 and physicist4 ,huygens was the descendant of a noble and distinguished family1 his father1 ,sir ,constantine ,huygens1 being a well-known poet and diplomatist4 ,early in life young ,huygens began his career in the legal profession1 completing his education in the juridical school at ,breda2 but his taste for mathematics soon led him to neglect his legal studies1 and his aptitude for scientific researches was so marked that ,descartes predicted great things of him even while he was a mere tyro in the field of scientific investigation4 ,one of his first endeavors in science was to attempt an improvement of the telescope4 ,reflecting upon the process of making lenses then in vogue1 young ,huygens and his brother ,constantine attempted a new method of grinding and polishing1 whereby they overcame a great deal of the spherical and chromatic aberration4 ,with this new telescope a much clearer field of vision was obtained1 so much so that ,huygens was able to detect1 among other things1 a hitherto unknown satellite of ,saturn4 ,it was these astronomical researches that led him to apply the pendulum to regulate the movements of clocks4 ,the need for some more exact method of measuring time in his observations of the stars was keenly felt by the young astronomer1 and after several experiments along different lines1 ,huygens hit upon the use of a swinging weight2 and in #afef made his invention of the pendulum clock4 ,the year following1 his clock was presented to the states-general4 ,accuracy as to time is absolutely essential in astronomy1 but until the invention of ,huygens's clock there was no precise1 nor even approximately precise1 means of measuring short intervals4 ,huygens was one of the first to adapt the micrometer to the telescope--a mechanical device on which all the nice determination of minute distances depends4 ,he also took up the controversy against ,hooke as to the superiority of telescopic over plain sights to quadrants1 ,hooke contending in favor of the plain4 ,in this controversy1 the subject of which attracted wide attention1 ,huygens was completely victorious2 and ,hooke1 being unable to refute ,huygens's arguments1 exhibited such irritability that he increased his already general unpopularity4 ,all of the arguments for and against the telescope sight are too numerous to be given here4 ,in contending in its favor ,huygens pointed out that the unaided eye is unable to appreciate an angular space in the sky less than about thirty seconds4 ,even in the best quadrant with a plain sight1 therefore1 the altitude must be uncertain by that quantity4 ,if in place of the plain sight a telescope is substituted1 even if it magnify only thirty times1 it will enable the observer to fix the position to one second1 with progressively increased accuracy as the magnifying power of the telescope is increased4 ,this was only one of the many telling arguments advanced by ,huygens4 ,in the field of optics1 also1 ,huygens has added considerably to science1 and his work1 ,dioptrics1 is said to have been a favorite book with ,newton4 ,during the later part of his life1 however1 ,huygens again devoted himself to inventing and constructing telescopes1 grinding the lenses1 and devising1 if not actually making1 the frame for holding them4 ,these telescopes were of enormous lengths1 three of his object-glasses1 now in possession of the ,royal ,society1 being of #abc1 #ahj1 and #baj feet focal length respectively4 ,such instruments1 if constructed in the ordinary form of the long tube1 were very unmanageable1 and to obviate this ,huygens adopted the plan of dispensing with the tube altogether1 mounting his lenses on long poles manipulated by machinery4 ,even these were unwieldy enough1 but the difficulties of manipulation were fully compensated by the results obtained4 ,it had been discovered1 among other things1 that in oblique refraction light is separated into colors4 ,therefore1 any small portion of the convex lens of the telescope1 being a prism1 the rays proceed to the focus1 separated into prismatic colors1 which make the image thus formed edged with a fringe of color and indistinct4 ,but1 fortunately for the early telescope makers1 the degree of this aberration is independent of the focal length of the lens2 so that1 by increasing this focal length and using the appropriate eye-piece1 the image can be greatly magnified1 while the fringe of colors remains about the same as when a less powerful lens is used4 ,hence the advantage of ,huygens's long telescope4 ,he did not confine his efforts to simply lengthening the focal length of his telescopes1 however1 but also added to their efficiency by inventing an almost perfect achromatic eye-piece4 ,in #affc he was elected a fellow of the ,royal ,society of ,london1 and in #affi he gave to that body a concise statement of the laws governing the collision of elastic bodies4 ,although the same views had been given by ,wallis and ,wren a few weeks earlier1 there is no doubt that ,huygens's views were reached independently2 and it is probable that he had arrived at his conclusions several years before4 ,in the ,philosophical ,transactions for #affi it is recorded that the society1 being interested in the laws of the principles of motion1 a request was made that ,m4 ,huygens1 ,dr4 ,wallis1 and ,sir ,christopher ,wren submit their views on the subject4 ,wallis submitted his paper first1 ,november #ae1 #affh4 ,a month later1 ,december #agth1 ,wren imparted to the society his laws as to the nature of the collision of bodies4 ,and a few days later1 ,january #e1 #affi1 ,huygens sent in his ,rules ,concerning the ,motion of ,bodies after ,mutual ,impulse4 ,although ,huygens's report was received last1 he was anticipated by such a brief space of time1 and his views are so clearly stated--on the whole rather more so than those of the other two--that we give them in part here3 #a4 ,if a hard body should strike against a body equally hard at rest1 after contact the former will rest and the latter acquire a velocity equal to that of the moving body4 #b4 ,but if that other equal body be likewise in motion1 and moving in the same direction1 after contact they will move with reciprocal velocities4 #c4 ,a body1 however great1 is moved by a body however small impelled with any velocity whatsoever4 #e4 ,the quantity of motion of two bodies may be either increased or diminished by their shock2 but the same quantity towards the same part remains1 after subtracting the quantity of the contrary motion4 #f4 ,the sum of the products arising from multiplying the mass of any hard body into the squares of its velocity is the same both before and after the stroke4 #g4 ,a hard body at rest will receive a greater quantity of motion from another hard body1 either greater or less than itself1 by the interposition of any third body of a mean quantity1 than if it was immediately struck by the body itself2 and if the interposing body be a mean proportional between the other two1 its action upon the quiescent body will be the greatest of all47#aj7 ,this was only one of several interesting and important communications sent to the ,royal ,society during his lifetime4 ,one of these was a report on what he calls ,pneumatical ,experiments4 ,upon including in a vacuum an insect resembling a beetle1 but somewhat larger1 he says1 when it seemed to be dead1 the air was readmitted1 and soon after it revived2 putting it again in the vacuum1 and leaving it for an hour1 after which the air was readmitted1 it was observed that the insect required a longer time to recover2 including it the third time for two days1 after which the air was admitted1 it was ten hours before it began to stir2 but1 putting it in a fourth time1 for eight days1 it never afterwards recovered4444 ,several birds1 rats1 mice1 rabbits1 and cats were killed in a vacuum1 but if the air was admitted before the engine was quite exhausted some of them would recover2 yet none revived that had been in a perfect vacuum4444 ,upon putting the weight of eighteen grains of powder with a gauge into a receiver that held several pounds of water1 and firing the powder1 it raised the mercury an inch and a half2 from which it appears that there is one-fifth of air in gunpowder1 upon the supposition that air is about one thousand times lighter than water2 for in this experiment the mercury rose to the eighteenth part of the height at which the air commonly sustains it1 and consequently the weight of eighteen grains of powder yielded air enough to fill the eighteenth part of a receiver that contained seven pounds of water2 now this eighteenth part contains forty-nine drachms of water2 wherefore the air1 that takes up an equal space1 being a thousand times lighter1 weighs one-thousandth part of forty-nine drachms1 which is more than three grains and a half2 it follows1 therefore1 that the weight of eighteen grains of powder contains more than three and a half of air1 which is about one-fifth of eighteen grains4444 ,from #affe to #afha1 accepting the tempting offer made him through ,colbert1 by ,louis ,,xiv41 ,huygens pursued his studies at the ,bibliotheque du ,roi as a resident of ,france4 ,here he published his ,horologium ,oscillatorium1 dedicated to the king1 containing1 among other things1 his solution of the problem of the centre of oscillation4 ,this in itself was an important step in the history of mechanics4 ,assuming as true that the centre of gravity of any number of interdependent bodies cannot rise higher than the point from which it falls1 he reached correct conclusions as to the general principle of the conservation of vis viva1 although he did not actually prove his conclusions4 ,this was the first attempt to deal with the dynamics of a system4 ,in this work1 also1 was the true determination of the relation between the length of a pendulum and the time of its oscillation4 ,in #afha he returned to ,holland1 influenced1 it is believed1 by the attitude that was being taken in ,france against his religion4 ,here he continued his investigations1 built his immense telescopes1 and1 among other things1 discovered polarization1 which is recorded in ,traite de la ,lumiere1 published at ,leyden in #afij4 ,five years later he died1 bequeathing his manuscripts to the ,university of ,leyden4 ,it is interesting to note that he never accepted ,newton's theory of gravitation as a universal property of matter4 ,,xi4 ,,newton ,,and ,,the ,,composition ,,of ,,light ,galileo1 that giant in physical science of the early seventeenth century1 died in #afdb4 ,on ,christmas day of the same year there was born in ,england another intellectual giant who was destined to carry forward the work of ,copernicus1 ,kepler1 and ,galileo to a marvellous consummation through the discovery of the great unifying law in accordance with which the planetary motions are performed4 ,we refer1 of course1 to the greatest of ,english physical scientists1 ,isaac ,newton1 the ,shakespeare of the scientific world4 ,born thus before the middle of the seventeenth century1 ,newton lived beyond the first quarter of the eighteenth 7#agbg74 ,for the last forty years of that period his was the dominating scientific personality of the world4 ,with full propriety that time has been spoken of as the ,age of ,newton4 ,yet the man who was to achieve such distinction gave no early premonition of future greatness4 ,he was a sickly child from birth1 and a boy of little seeming promise4 ,he was an indifferent student1 yet1 on the other hand1 he cared little for the common amusements of boyhood4 ,he early exhibited1 however1 a taste for mechanical contrivances1 and spent much time in devising windmills1 water-clocks1 sun-dials1 and kites4 ,while other boys were interested only in having kites that would fly1 ,newton--at least so the stories of a later time would have us understand--cared more for the investigation of the seeming principles involved1 or for testing the best methods of attaching the strings1 or the best materials to be used in construction4 ,meanwhile the future philosopher was acquiring a taste for reading and study1 delving into old volumes whenever he found an opportunity4 ,these habits convinced his relatives that it was useless to attempt to make a farmer of the youth1 as had been their intention4 ,he was therefore sent back to school1 and in the summer of #affa he matriculated at ,trinity ,college1 ,cambridge4 ,even at college ,newton seems to have shown no unusual mental capacity1 and in #affd1 when examined for a scholarship by ,dr4 ,barrow1 that gentleman is said to have formed a poor opinion of the applicant4 ,it is said that the knowledge of the estimate placed upon his abilities by his instructor piqued ,newton1 and led him to take up in earnest the mathematical studies in which he afterwards attained such distinction4 ,the study of ,euclid and ,descartes's ,geometry roused in him a latent interest in mathematics1 and from that time forward his investigations were carried on with enthusiasm4 ,in #affg he was elected ,fellow of ,trinity ,college1 taking the degree of ,m4,a4 the following spring4 ,it will thus appear that ,newton's boyhood and early manhood were passed during that troublous time in ,british political annals which saw the overthrow of ,charles ,i41 the autocracy of ,cromwell1 and the eventual restoration of the ,stuarts4 ,his maturer years witnessed the overthrow of the last ,stuart and the reign of the ,dutchman1 ,william of ,orange4 ,in his old age he saw the first of the ,hanoverians mount the throne of ,england4 ,within a decade of his death such scientific path-finders as ,cavendish1 ,black1 and ,priestley were born--men who lived on to the close of the eighteenth century4 ,in a full sense1 then1 the age of ,newton bridges the gap from that early time of scientific awakening under ,kepler and ,galileo to the time which we of the twentieth century think of as essentially modern4 ,,the ,,composition ,,of ,,white ,,light ,in ,december1 #afgb1 ,newton was elected a ,fellow of the ,royal ,society1 and at this meeting a paper describing his invention of the refracting telescope was read4 ,a few days later he wrote to the secretary1 making some inquiries as to the weekly meetings of the society1 and intimating that he had an account of an interesting discovery that he wished to lay before the society4 ,when this communication was made public1 it proved to be an explanation of the discovery of the composition of white light4 ,we have seen that the question as to the nature of color had commanded the attention of such investigators as ,huygens1 but that no very satisfactory solution of the question had been attained4 ,newton proved by demonstrative experiments that white light is composed of the blending of the rays of diverse colors1 and that the color that we ascribe to any object is merely due to the fact that the object in question reflects rays of that color1 absorbing the rest4 ,that white light is really made up of many colors blended would seem incredible had not the experiments by which this composition is demonstrated become familiar to every one4 ,the experiments were absolutely novel when ,newton brought them forward1 and his demonstration of the composition of light was one of the most striking expositions ever brought to the attention of the ,royal ,society4 ,it is hardly necessary to add that1 notwithstanding the conclusive character of ,newton's work1 his explanations did not for a long time meet with general acceptance4 ,newton was led to his discovery by some experiments made with an ordinary glass prism applied to a hole in the shutter of a darkened room1 the refracted rays of the sunlight being received upon the opposite wall and forming there the familiar spectrum4 ,it was a very pleasing diversion1 he wrote1 to view the vivid and intense colors produced thereby2 and after a time1 applying myself to consider them very circumspectly1 ,i became surprised to see them in varying form1 which1 according to the received laws of refraction1 ,i expected should have been circular4 ,they were terminated at the sides with straight lines1 but at the ends the decay of light was so gradual that it was difficult to determine justly what was their figure1 yet they seemed semicircular4 ,comparing the length of this colored spectrum with its breadth1 ,i found it almost five times greater2 a disproportion so extravagant that it excited me to a more than ordinary curiosity of examining from whence it might proceed4 ,i could scarce think that the various thicknesses of the glass1 or the termination with shadow or darkness1 could have any influence on light to produce such an effect2 yet ,i thought it not amiss1 first1 to examine those circumstances1 and so tried what would happen by transmitting light through parts of the glass of divers thickness1 or through holes in the window of divers bigness1 or by setting the prism without so that the light might pass through it and be refracted before it was transmitted through the hole2 but ,i found none of those circumstances material4 ,the fashion of the colors was in all these cases the same4 ,then ,i suspected whether by any unevenness of the glass or other contingent irregularity these colors might be thus dilated4 ,and to try this ,i took another prism like the former1 and so placed it that the light1 passing through them both1 might be refracted contrary ways1 and so by the latter returned into that course from which the former diverted it4 ,for1 by this means1 ,i thought1 the regular effects of the first prism would be destroyed by the second prism1 but the irregular ones more augmented by the multiplicity of refractions4 ,the event was that the light1 which by the first prism was diffused into an oblong form1 was by the second reduced into an orbicular one with as much regularity as when it did not all pass through them4 ,so that1 whatever was the cause of that length1 'twas not any contingent irregularity4 ,i then proceeded to examine more critically what might be effected by the difference of the incidence of rays coming from divers parts of the sun2 and to that end measured the several lines and angles belonging to the image4 ,its distance from the hole or prism was #bb feet2 its utmost length #ac #a_/d inches2 its breadth #b #e_/h2 the diameter of the hole #a_/d of an inch2 the angle which the rays1 tending towards the middle of the image1 made with those lines1 in which they would have proceeded without refraction1 was #dd degrees #ef'2 and the vertical angle of the prism1 #fc degrees #ab'4 ,also the refractions on both sides of the prism--that is1 of the incident and emergent rays--were1 as near as ,i could make them1 equal1 and consequently about #ed degrees #d'2 and the rays fell perpendicularly upon the wall4 ,now1 subducting the diameter of the hole from the length and breadth of the image1 there remains #ac inches the length1 and #b #c_/h the breadth1 comprehended by those rays1 which1 passing through the centre of the said hole1 which that breadth subtended1 was about #ca'1 answerable to the sun's diameter2 but the angle which its length subtended was more than five such diameters1 namely #b degrees #di'4 ,having made these observations1 ,i first computed from them the refractive power of the glass1 and found it measured by the ratio of the sines #bj to #ca4 ,and then1 by that ratio1 ,i computed the refractions of two rays flowing from opposite parts of the sun's discus1 so as to differ #ca' in their obliquity of incidence1 and found that the emergent rays should have comprehended an angle of #ca'1 as they did1 before they were incident4 ,but because this computation was founded on the hypothesis of the proportionality of the sines of incidence and refraction1 which though by my own experience ,i could not imagine to be so erroneous as to make that angle but #ca'1 which in reality was #b degrees #di'1 yet my curiosity caused me again to make my prism4 ,and having placed it at my window1 as before1 ,i observed that by turning it a little about its axis to and fro1 so as to vary its obliquity to the light more than an angle of #d degrees or #e degrees1 the colors were not thereby sensibly translated from their place on the wall1 and consequently by that variation of incidence the quantity of refraction was not sensibly varied4 ,by this experiment1 therefore1 as well as by the former computation1 it was evident that the difference of the incidence of rays flowing from divers parts of the sun could not make them after decussation diverge at a sensibly greater angle than that at which they before converged2 which being1 at most1 but about #ca' or #cb'1 there still remained some other cause to be found out1 from whence it could be #b degrees #di'4 ,all this caused ,newton to suspect that the rays1 after their trajection through the prism1 moved in curved rather than in straight lines1 thus tending to be cast upon the wall at different places according to the amount of this curve4 ,his suspicions were increased1 also1 by happening to recall that a tennis-ball sometimes describes such a curve when cut by a tennis-racket striking the ball obliquely4 ,for a circular as well as a progressive motion being communicated to it by the stroke1 he says1 its parts on that side where the motions conspire must press and beat the contiguous air more violently than on the other1 and there excite a reluctancy and reaction of the air proportionately greater4 ,and for the same reason1 if the rays of light should possibly be globular bodies1 and by their oblique passage out of one medium into another acquire a circulating motion1 they ought to feel the greater resistance from the ambient ether on that side where the motions conspire1 and thence be continually bowed to the other4 ,but notwithstanding this plausible ground of suspicion1 when ,i came to examine it ,i could observe no such curvity in them4 ,and1 besides 7which was enough for my purpose71 ,i observed that the difference 'twixt the length of the image and diameter of the hole through which the light was transmitted was proportionable to their distance4 ,the gradual removal of these suspicions at length led me to the experimentum crucis1 which was this3 ,i took two boards1 and1 placing one of them close behind the prism at the window1 so that the light must pass through a small hole1 made in it for the purpose1 and fall on the other board1 which ,i placed at about twelve feet distance1 having first made a small hole in it also1 for some of the incident light to pass through4 ,then ,i placed another prism behind this second board1 so that the light trajected through both the boards might pass through that also1 and be again refracted before it arrived at the wall4 ,this done1 ,i took the first prism in my hands and turned it to and fro slowly about its axis1 so much as to make the several parts of the image1 cast on the second board1 successively pass through the hole in it1 that ,i might observe to what places on the wall the second prism would refract them4 ,and ,i saw by the variation of these places that the light1 tending to that end of the image towards which the refraction of the first prism was made1 did in the second prism suffer a refraction considerably greater than the light tending to the other end4 ,and so the true cause of the length of that image was detected to be no other than that ,,light consists of ,,rays ,,differently ,,refrangible1 which1 without any respect to a difference in their incidence1 were1 according to their degrees of refrangibility1 transmitted towards divers parts of the wall47#a7 ,,the ,,nature ,,of ,,color ,having thus proved the composition of light1 ,newton took up an exhaustive discussion as to colors1 which cannot be entered into at length here4 ,some of his remarks on the subject of compound colors1 however1 may be stated in part4 ,newton's views are of particular interest in this connection1 since1 as we have already pointed out1 the question as to what constituted color could not be agreed upon by the philosophers4 ,some held that color was an integral part of the substance2 others maintained that it was simply a reflection from the surface2 and no scientific explanation had been generally accepted4 ,newton concludes his paper as follows3 ,i might add more instances of this nature1 but ,i shall conclude with the general one that the colors of all natural bodies have no other origin than this1 that they are variously qualified to reflect one sort of light in greater plenty than another4 ,and this ,i have experimented in a dark room by illuminating those bodies with uncompounded light of divers colors4 ,for by that means any body may be made to appear of any color4 ,they have there no appropriate color1 but ever appear of the color of the light cast upon them1 but yet with this difference1 that they are most brisk and vivid in the light of their own daylight color4 ,minium appeareth there of any color indifferently with which 'tis illustrated1 but yet most luminous in red2 and so ,bise appeareth indifferently of any color with which 'tis illustrated1 but yet most luminous in blue4 ,and therefore ,minium reflecteth rays of any color1 but most copiously those indued with red2 and consequently1 when illustrated with daylight--that is1 with all sorts of rays promiscuously blended--those qualified with red shall abound most in the reflected light1 and by their prevalence cause it to appear of that color4 ,and for the same reason1 ,bise1 reflecting blue most copiously1 shall appear blue by the excess of those rays in its reflected light2 and the like of other bodies4 ,and that this is the entire and adequate cause of their colors is manifest1 because they have no power to change or alter the colors of any sort of rays incident apart1 but put on all colors indifferently with which they are enlightened47#b7 ,this epoch-making paper aroused a storm of opposition4 ,some of ,newton's opponents criticised his methods1 others even doubted the truth of his experiments4 ,there was one slight mistake in ,newton's belief that all prisms would give a spectrum of exactly the same length1 and it was some time before he corrected this error4 ,meanwhile he patiently met and answered the arguments of his opponents until he began to feel that patience was no longer a virtue4 ,at one time he even went so far as to declare that1 once he was free of this business1 he would renounce scientific research forever1 at least in a public way4 ,fortunately for the world1 however1 he did not adhere to this determination1 but went on to even greater discoveries--which1 it may be added1 involved still greater controversies4 ,in commenting on ,newton's discovery of the composition of light1 ,voltaire said3 ,sir ,isaac ,newton has demonstrated to the eye1 by the bare assistance of a prism1 that light is a composition of colored rays1 which1 being united1 form white color4 ,a single ray is by him divided into seven1 which all fall upon a piece of linen or a sheet of white paper1 in their order one above the other1 and at equal distances4 ,the first is red1 the second orange1 the third yellow1 the fourth green1 the fifth blue1 the sixth indigo1 the seventh a violet purple4 ,each of these rays transmitted afterwards by a hundred other prisms will never change the color it bears2 in like manner as gold1 when completely purged from its dross1 will never change afterwards in the crucible47#c7 ,,xii4 ,,newton ,,and ,,the ,,law ,,of ,,gravitation ,we come now to the story of what is by common consent the greatest of scientific achievements4 ,the law of universal gravitation is the most far-reaching principle as yet discovered4 ,it has application equally to the minutest particle of matter and to the most distant suns in the universe1 yet it is amazing in its very simplicity4 ,as usually phrased1 the law is this3 ,that every particle of matter in the universe attracts every other particle with a force that varies directly with the mass of the particles and inversely as the squares of their mutual distance4 ,newton did not vault at once to the full expression of this law1 though he had formulated it fully before he gave the results of his investigations to the world4 ,we have now to follow the steps by which he reached this culminating achievement4 ,at the very beginning we must understand that the idea of universal gravitation was not absolutely original with ,newton4 ,away back in the old ,greek days1 as we have seen1 ,anaxagoras conceived and clearly expressed the idea that the force which holds the heavenly bodies in their orbits may be the same that operates upon substances at the surface of the earth4 ,with ,anaxagoras this was scarcely more than a guess4 ,after his day the idea seems not to have been expressed by any one until the seventeenth century's awakening of science4 ,then the consideration of ,kepler's ,third ,law of planetary motion suggested to many minds perhaps independently the probability that the force hitherto mentioned merely as centripetal1 through the operation of which the planets are held in their orbits is a force varying inversely as the square of the distance from the sun4 ,this idea had come to ,robert ,hooke1 to ,wren1 and perhaps to ,halley1 as well as to ,newton2 but as yet no one had conceived a method by which the validity of the suggestion might be tested4 ,it was claimed later on by ,hooke that he had discovered a method demonstrating the truth of the theory of inverse squares1 and after the full announcement of ,newton's discovery a heated controversy was precipitated in which ,hooke put forward his claims with accustomed acrimony4 ,hooke1 however1 never produced his demonstration1 and it may well be doubted whether he had found a method which did more than vaguely suggest the law which the observations of ,kepler had partially revealed4 ,newton's great merit lay not so much in conceiving the law of inverse squares as in the demonstration of the law4 ,he was led to this demonstration through considering the orbital motion of the moon4 ,according to the familiar story1 which has become one of the classic myths of science1 ,newton was led to take up the problem through observing the fall of an apple4 ,voltaire is responsible for the story1 which serves as well as another2 its truth or falsity need not in the least concern us4 ,suffice it that through pondering on the familiar fact of terrestrial gravitation1 ,newton was led to question whether this force which operates so tangibly here at the earth's surface may not extend its influence out into the depths of space1 so as to include1 for example1 the moon4 ,obviously some force pulls the moon constantly towards the earth2 otherwise that body would fly off at a tangent and never return4 ,may not this so-called centripetal force be identical with terrestrial gravitation8 ,such was ,newton's query4 ,probably many another man since ,anaxagoras had asked the same question1 but assuredly ,newton was the first man to find an answer4 ,the thought that suggested itself to ,newton's mind was this3 ,if we make a diagram illustrating the orbital course of the moon for any given period1 say one minute1 we shall find that the course of the moon departs from a straight line during that period by a measurable distance--that3 is to say1 the moon has been virtually pulled towards the earth by an amount that is represented by the difference between its actual position at the end of the minute under observation and the position it would occupy had its course been tangential1 as1 according to the first law of motion1 it must have been had not some force deflected it towards the earth4 ,measuring the deflection in question--which is equivalent to the so-called versed sine of the arc traversed--we have a basis for determining the strength of the deflecting force4 ,newton constructed such a diagram1 and1 measuring the amount of the moon's departure from a tangential rectilinear course in one minute1 determined this to be1 by his calculation1 thirteen feet4 ,obviously1 then1 the force acting upon the moon is one that would cause that body to fall towards the earth to the distance of thirteen feet in the first minute of its fall4 ,would such be the force of gravitation acting at the distance of the moon if the power of gravitation varies inversely as the square of the distance8 ,that was the tangible form in which the problem presented itself to ,newton4 ,the mathematical solution of the problem was simple enough4 ,it is based on a comparison of the moon's distance with the length of the earth's radius4 ,on making this calculation1 ,newton found that the pull of gravitation--if that were really the force that controls the moon--gives that body a fall of slightly over fifteen feet in the first minute1 instead of thirteen feet4 ,here was surely a suggestive approximation1 yet1 on the other band1 the discrepancy seemed to be too great to warrant him in the supposition that he had found the true solution4 ,he therefore dismissed the matter from his mind for the time being1 nor did he return to it definitely for some years4 illustration caption ,,diagram ,,to ,,illustrate ,,newton',s ,,law ,,of ,,gravitation 7,e represents the earth and ,a the moon4 ,were the earth's pull on the moon to cease1 the moon's inertia would cause it to take the tangential course1 ,,ab4 ,on the other hand1 were the moon's motion to be stopped for an instant1 the moon would fall directly towards the earth1 along the line ,,ad4 ,the moon's actual orbit1 resulting from these component forces1 is ,,ac4 ,let ,,ac represent the actual flight of the moon in one minute4 ,then ,,bc1 which is obviously equal to ,,ad1 represents the distance which the moon virtually falls towards the earth in one minute4 ,actual computation1 based on measurements of the moon's orbit1 showed this distance to be about fifteen feet4 ,another computation showed that this is the distance that the moon would fall towards the earth under the influence of gravity1 on the supposition that the force of gravity decreases inversely with the square of the distance2 the basis of comparison being furnished by falling bodies at the surface of the earth4 ,theory and observations thus coinciding1 ,newton was justified in declaring that the force that pulls the moon towards the earth and keeps it in its orbit1 is the familiar force of gravity1 and that this varies inversely as the square of the distance47 ,it was to appear in due time that ,newton's hypothesis was perfectly valid and that his method of attempted demonstration was equally so4 ,the difficulty was that the earth's proper dimensions were not at that time known4 ,a wrong estimate of the earth's size vitiated all the other calculations involved1 since the measurement of the moon's distance depends upon the observation of the parallax1 which cannot lead to a correct computation unless the length of the earth's radius is accurately known4 ,newton's first calculation was made as early as #afff1 and it was not until #afhb that his attention was called to a new and apparently accurate measurement of a degree of the earth's meridian made by the ,french astronomer ,picard4 ,the new measurement made a degree of the earth's surface #fi4aj miles1 instead of sixty miles4 ,learning of this materially altered calculation as to the earth's size1 ,newton was led to take up again his problem of the falling moon4 ,as he proceeded with his computation1 it became more and more certain that this time the result was to harmonize with the observed facts4 ,as the story goes1 he was so completely overwhelmed with emotion that he was forced to ask a friend to complete the simple calculation4 ,that story may well be true1 for1 simple though the computation was1 its result was perhaps the most wonderful demonstration hitherto achieved in the entire field of science4 ,now at last it was known that the force of gravitation operates at the distance of the moon1 and holds that body in its elliptical orbit1 and it required but a slight effort of the imagination to assume that the force which operates through such a reach of space extends its influence yet more widely4 ,that such is really the case was demonstrated presently through calculations as to the moons of ,jupiter and by similar computations regarding the orbital motions of the various planets4 ,all results harmonizing1 ,newton was justified in reaching the conclusion that gravitation is a universal property of matter4 ,it remained1 as we shall see1 for nineteenth-century scientists to prove that the same force actually operates upon the stars1 though it should be added that this demonstration merely fortified a belief that had already found full acceptance4 ,having thus epitomized ,newton's discovery1 we must now take up the steps of his progress somewhat in detail1 and state his theories and their demonstration in his own words4 ,proposition ,,iv41 theorem #d1 of his ,principia is as follows3 ,that the moon gravitates towards the earth and by the force of gravity is continually drawn off from a rectilinear motion and retained in its orbit4 ,the mean distance of the moon from the earth1 in the syzygies in semi-diameters of the earth1 is1 according to ,ptolemy and most astronomers1 #ei2 according to ,vendelin and ,huygens1 #fj2 to ,copernicus1 #fj #a_/c2 to ,street1 #fj #b_/c2 and to ,tycho1 #ef #a_/b4 ,but ,tycho1 and all that follow his tables of refractions1 making the refractions of the sun and moon 7altogether against the nature of light7 to exceed the refractions of the fixed stars1 and that by four or five minutes ,,near ,,the ,,horizon1 did thereby increase the moon's ,,horizontal parallax by a like number of minutes1 that is1 by a twelfth or fifteenth part of the whole parallax4 ,correct this error and the distance will become about #fj #a_/b semi-diameters of the earth1 near to what others have assigned4 ,let us assume the mean distance of #fj diameters in the syzygies2 and suppose one revolution of the moon1 in respect to the fixed stars1 to be completed in #bg;d4 #g;h4 #dc'1 as astronomers have determined2 and the circumference of the earth to amount to #abc1bdi1fjj ,paris feet1 as the ,french have found by mensuration4 ,and now1 if we imagine the moon1 deprived of all motion1 to be let go1 so as to descend towards the earth with the impulse of all that force by which 7by ,cor4 ,prop4 iii47 it is retained in its orb1 it will in the space of one minute of time describe in its fall #ae #a_/ab ,paris feet4 ,for the versed sine of that arc which the moon1 in the space of one minute of time1 would by its mean motion describe at the distance of sixty semi-diameters of the earth1 is nearly #ae #a_/ab ,paris feet1 or more accurately #ae feet1 #a inch1 #a line #d_/i4 ,wherefore1 since that force1 in approaching the earth1 increases in the reciprocal-duplicate proportion of the distance1 and upon that account1 at the surface of the earth1 is #fj x #fj times greater than at the moon1 a body in our regions1 falling with that force1 ought in the space of one minute of time to describe #fj x #fj x #ae #a_/ab ,paris feet2 and in the space of one second of time1 to describe #ae #a_/ab of those feet1 or more accurately1 #ae feet1 #a inch1 #a line #d_/i4 ,and with this very force we actually find that bodies here upon earth do really descend2 for a pendulum oscillating seconds in the latitude of ,paris will be #c ,paris feet1 and #h lines #a_/b in length1 as ,mr4 ,huygens has observed4 ,and the space which a heavy body describes by falling in one second of time is to half the length of the pendulum in the duplicate ratio of the circumference of a circle to its diameter 7as ,mr4 ,huygens has also shown71 and is therefore #ae ,paris feet1 #a inch1 #a line #d_/i4 ,and therefore the force by which the moon is retained in its orbit is that very same force which we commonly call gravity2 for1 were gravity another force different from that1 then bodies descending to the earth with the joint impulse of both forces would fall with a double velocity1 and in the space of one second of time would describe #cj #a_/f ,paris feet2 altogether against experience47#a7 ,all this is beautifully clear1 and its validity has never in recent generations been called in question2 yet it should be explained that the argument does not amount to an actually indisputable demonstration4 ,it is at least possible that the coincidence between the observed and computed motion of the moon may be a mere coincidence and nothing more4 ,this probability1 however1 is so remote that ,newton is fully justified in disregarding it1 and1 as has been said1 all subsequent generations have accepted the computation as demonstrative4 ,let us produce now ,newton's further computations as to the other planetary bodies1 passing on to his final conclusion that gravity is a universal force4 ,,proposition ,v41 ,,theorem ,v4 ,that the circumjovial planets gravitate towards ,jupiter2 the circumsaturnal towards ,saturn2 the circumsolar towards the sun2 and by the forces of their gravity are drawn off from rectilinear motions1 and retained in curvilinear orbits4 ,for the revolutions of the circumjovial planets about ,jupiter1 of the circumsaturnal about ,saturn1 and of ,mercury and ,venus and the other circumsolar planets about the sun1 are appearances of the same sort with the revolution of the moon about the earth2 and therefore1 by ,rule ii41 must be owing to the same sort of causes2 especially since it has been demonstrated that the forces upon which those revolutions depend tend to the centres of ,jupiter1 of ,saturn1 and of the sun2 and that those forces1 in receding from ,jupiter1 from ,saturn1 and from the sun1 decrease in the same proportion1 and according to the same law1 as the force of gravity does in receding from the earth4 ,,cor4 #a4--,there is1 therefore1 a power of gravity tending to all the planets2 for doubtless ,venus1 ,mercury1 and the rest are bodies of the same sort with ,jupiter and ,saturn4 ,and since all attraction 7by ,law iii47 is mutual1 ,jupiter will therefore gravitate towards all his own satellites1 ,saturn towards his1 the earth towards the moon1 and the sun towards all the primary planets4 ,,cor4 #b4--,the force of gravity which tends to any one planet is reciprocally as the square of the distance of places from the planet's centre4 ,,cor4 #c4--;,all the planets do mutually gravitate towards one another1 by ,cor4 #a and #b1 and hence it is that ,jupiter and ,saturn1 when near their conjunction1 by their mutual attractions sensibly disturb each other's motions4 ,so the sun disturbs the motions of the moon2 and both sun and moon disturb our sea1 as we shall hereafter explain4 ,,scholium ,the force which retains the celestial bodies in their orbits has been hitherto called centripetal force2 but it being now made plain that it can be no other than a gravitating force1 we shall hereafter call it gravity4 ,for the cause of the centripetal force which retains the moon in its orbit will extend itself to all the planets by ,rules i41 ii41 and iii4 ,,proposition ,,vi41 ,,theorem ,,vi4 ,that all bodies gravitate towards every planet2 and that the weights of the bodies towards any the same planet1 at equal distances from the centre of the planet1 are proportional to the quantities of matter which they severally contain4 ,it has been now a long time observed by others that all sorts of heavy bodies 7allowance being made for the inability of retardation which they suffer from a small power of resistance in the air7 descend to the earth ,,from ,,equal ,,heights in equal times2 and that equality of times we may distinguish to a great accuracy by help of pendulums4 ,i tried the thing in gold1 silver1 lead1 glass1 sand1 common salt1 wood1 water1 and wheat4 ,i provided two wooden boxes1 round and equal3 ,i filled the one with wood1 and suspended an equal weight of gold 7as exactly as ,i could7 in the centre of oscillation of the other4 ,the boxes hanging by eleven feet1 made a couple of pendulums exactly equal in weight and figure1 and equally receiving the resistance of the air4 ,and1 placing the one by the other1 ,i observed them to play together forward and backward1 for a long time1 with equal vibrations4 ,and therefore the quantity of matter in gold was to the quantity of matter in the wood as the action of the motive force 7or vis motrix7 upon all the gold to the action of the same upon all the wood--that is1 as the weight of the one to the weight of the other3 and the like happened in the other bodies4 ,by these experiments1 in bodies of the same weight1 ,i could manifestly have discovered a difference of matter less than the thousandth part of the whole1 had any such been4 ,but1 without all doubt1 the nature of gravity towards the planets is the same as towards the earth4 ,for1 should we imagine our terrestrial bodies removed to the orb of the moon1 and there1 together with the moon1 deprived of all motion1 to be let go1 so as to fall together towards the earth1 it is certain1 from what we have demonstrated before1 that1 in equal times1 they would describe equal spaces with the moon1 and of consequence are to the moon1 in quantity and matter1 as their weights to its weight4 ,moreover1 since the satellites of ,jupiter perform their revolutions in times which observe the sesquiplicate proportion of their distances from ,jupiter's centre1 their accelerative gravities towards ,jupiter will be reciprocally as the square of their distances from ,jupiter's centre--that is1 equal1 at equal distances4 ,and1 therefore1 these satellites1 if supposed to fall ,,towards ,,jupiter from equal heights1 would describe equal spaces in equal times1 in like manner as heavy bodies do on our earth4 ,and1 by the same argument1 if the circumsolar planets were supposed to be let fall at equal distances from the sun1 they would1 in their descent towards the sun1 describe equal spaces in equal times4 ,but forces which equally accelerate unequal bodies must be as those bodies--that is to say1 the weights of the planets 7,,towards ,,the ,,sun7 must be as their quantities of matter4 ,further1 that the weights of ,jupiter and his satellites towards the sun are proportional to the several quantities of their matter1 appears from the exceedingly regular motions of the satellites4 ,for if some of these bodies were more strongly attracted to the sun in proportion to their quantity of matter than others1 the motions of the satellites would be disturbed by that inequality of attraction4 ,if at equal distances from the sun any satellite1 in proportion to the quantity of its matter1 did gravitate towards the sun with a force greater than ,jupiter in proportion to his1 according to any given proportion1 suppose d to e2 then the distance between the centres of the sun and of the satellite's orbit would be always greater than the distance between the centres of the sun and of ,jupiter nearly in the subduplicate of that proportion3 as by some computations ,i have found4 ,and if the satellite did gravitate towards the sun with a force1 lesser in the proportion of e to d1 the distance of the centre of the satellite's orb from the sun would be less than the distance of the centre of ,jupiter from the sun in the subduplicate of the same proportion4 ,therefore1 if at equal distances from the sun1 the accelerative gravity of any satellite towards the sun were greater or less than the accelerative gravity of ,jupiter towards the sun by one-one-thousandth part of the whole gravity1 the distance of the centre of the satellite's orbit from the sun would be greater or less than the distance of ,jupiter from the sun by one one-two-thousandth part of the whole distance--that is1 by a fifth part of the distance of the utmost satellite from the centre of ,jupiter2 an eccentricity of the orbit which would be very sensible4 ,but the orbits of the satellites are concentric to ,jupiter1 and therefore the accelerative gravities of ,jupiter and of all its satellites towards the sun1 at equal distances from the sun1 are as their several quantities of matter2 and the weights of the moon and of the earth towards the sun are either none1 or accurately proportional to the masses of matter which they contain4 ,,cor4 #e4--,the power of gravity is of a different nature from the power of magnetism2 for the magnetic attraction is not as the matter attracted4 ,some bodies are attracted more by the magnet2 others less2 most bodies not at all4 ,the power of magnetism in one and the same body may be increased and diminished2 and is sometimes far stronger1 for the quantity of matter1 than the power of gravity2 and in receding from the magnet decreases not in the duplicate1 but almost in the triplicate proportion of the distance1 as nearly as ,i could judge from some rude observations4 ,,proposition ,,vii41 ,,theorem ,,vii4 ,that there is a power of gravity tending to all bodies1 proportional to the several quantities of matter which they contain4 ,that all the planets mutually gravitate one towards another we have proved before2 as well as that the force of gravity towards every one of them considered apart1 is reciprocally as the square of the distance of places from the centre of the planet4 ,and thence it follows1 that the gravity tending towards all the planets is proportional to the matter which they contain4 ,moreover1 since all the parts of any planet ,a gravitates towards any other planet ,b2 and the gravity of every part is to the gravity of the whole as the matter of the part is to the matter of the whole2 and to every action corresponds a reaction2 therefore the planet ,b will1 on the other hand1 gravitate towards all the parts of planet ,a1 and its gravity towards any one part will be to the gravity towards the whole as the matter of the part to the matter of the whole4 ,q4,e4,d4 ,,hence ,,it ,,would ,,appear ,,that the force of the whole must arise from the force of the component parts4 ,newton closes this remarkable ,book iii4 with the following words3 ,hitherto we have explained the phenomena of the heavens and of our sea by the power of gravity1 but have not yet assigned the cause of this power4 ,this is certain1 that it must proceed from a cause that penetrates to the very centre of the sun and planets1 without suffering the least diminution of its force2 that operates not according to the quantity of the surfaces of the particles upon which it acts 7as mechanical causes used to do71 but according to the quantity of solid matter which they contain1 and propagates its virtue on all sides to immense distances1 decreasing always in the duplicate proportions of the distances4 ,gravitation towards the sun is made up out of the gravitations towards the several particles of which the body of the sun is composed2 and in receding from the sun decreases accurately in the duplicate proportion of the distances as far as the orb of ,saturn1 as evidently appears from the quiescence of the aphelions of the planets2 nay1 and even to the remotest aphelions of the comets1 if those aphelions are also quiescent4 ,but hitherto ,i have not been able to discover the cause of those properties of gravity from phenomena1 and ,i frame no hypothesis2 for whatever is not deduced from the phenomena is to be called an hypothesis2 and hypotheses1 whether metaphysical or physical1 whether of occult qualities or mechanical1 have no place in experimental philosophy4444 ,and to us it is enough that gravity does really exist1 and act according to the laws which we have explained1 and abundantly serves to account for all the motions of the celestial bodies and of our sea47#b7 ,the very magnitude of the importance of the theory of universal gravitation made its general acceptance a matter of considerable time after the actual discovery4 ,this opposition had of course been foreseen by ,newton1 and1 much as he dreaded controversy1 he was prepared to face it and combat it to the bitter end4 ,he knew that his theory was right2 it remained for him to convince the world of its truth4 ,he knew that some of his contemporary philosophers would accept it at once2 others would at first doubt1 question1 and dispute1 but finally accept2 while still others would doubt and dispute until the end of their days4 ,this had been the history of other great discoveries2 and this will probably be the history of most great discoveries for all time4 ,but in this case the discoverer lived to see his theory accepted by practically all the great minds of his time4 ,delambre is authority for the following estimate of ,newton by ,lagrange4 ,the celebrated ,lagrange1 he says1 who frequently asserted that ,newton was the greatest genius that ever existed1 used to add--'and the most fortunate1 for we cannot find ,,more ,,than ,,once a system of the world to establish4' ,with pardonable exaggeration the admiring followers of the great generalizer pronounced this epitaph3 ,nature and ,nature's laws lay hid in night2 ,god said ',let ,newton be6' and all was light4 ,,xiii4 ,,instruments ,,of ,,precision ,,in ,,the ,,age ,,of ,,newton ,during the ,newtonian epoch there were numerous important inventions of scientific instruments1 as well as many improvements made upon the older ones4 ,some of these discoveries have been referred to briefly in other places1 but their importance in promoting scientific investigation warrants a fuller treatment of some of the more significant4 ,many of the errors that had arisen in various scientific calculations before the seventeenth century may be ascribed to the crudeness and inaccuracy in the construction of most scientific instruments4 ,scientists had not as yet learned that an approach to absolute accuracy was necessary in every investigation in the field of science1 and that such accuracy must be extended to the construction of the instruments used in these investigations and observations4 ,in astronomy it is obvious that instruments of delicate exactness are most essential2 yet ,tycho ,brahe1 who lived in the sixteenth century1 is credited with being the first astronomer whose instruments show extreme care in construction4 ,it seems practically settled that the first telescope was invented in ,holland in #afjh2 but three men1 ,hans ,lippershey1 ,james ,metius1 and ,zacharias ,jansen1 have been given the credit of the invention at different times4 ,it would seem from certain papers1 now in the library of the ,university of ,leyden1 and included in ,huygens's papers1 that ,lippershey was probably the first to invent a telescope and to describe his invention4 ,the story is told that ,lippershey1 who was a spectacle-maker1 stumbled by accident upon the discovery that when two lenses are held at a certain distance apart1 objects at a distance appear nearer and larger4 ,having made this discovery1 he fitted two lenses with a tube so as to maintain them at the proper distance1 and thus constructed the first telescope4 ,it was ,galileo1 however1 as referred to in a preceding chapter1 who first constructed a telescope based on his knowledge of the laws of refraction4 ,in #afji1 having heard that an instrument had been invented1 consisting of two lenses fixed in a tube1 whereby objects were made to appear larger and nearer1 he set about constructing such an instrument that should follow out the known effects of refraction4 ,his first telescope1 made of two lenses fixed in a lead pipe1 was soon followed by others of improved types1 ,galileo devoting much time and labor to perfecting lenses and correcting errors4 ,in fact1 his work in developing the instrument was so important that the telescope came gradually to be known as the ,galilean telescope4 ,in the construction of his telescope ,galileo made use of a convex and a concave lens2 but shortly after this ,kepler invented an instrument in which both the lenses used were convex4 ,this telescope gave a much larger field of view than the ,galilean telescope1 but did not give as clear an image1 and in consequence did not come into general use until the middle of the seventeenth century4 ,the first powerful telescope of this type was made by ,huygens and his brother4 ,it was of twelve feet focal length1 and enabled ,huygens to discover a new satellite of ,saturn1 and to determine also the true explanation of ,saturn's ring4 ,it was ,huygens1 together with ,malvasia and ,auzout1 who first applied the micrometer to the telescope1 although the inventor of the first micrometer was ,william ,gascoigne1 of ,yorkshire1 about #afcf4 ,the micrometer as used in telescopes enables the observer to measure accurately small angular distances4 ,before the invention of the telescope such measurements were limited to the angle that could be distinguished by the naked eye1 and were1 of course1 only approximately accurate4 ,even very careful observers1 such as ,tycho ,brahe1 were able to obtain only fairly accurate results4 ,but by applying ,gascoigne's invention to the telescope almost absolute accuracy became at once possible4 ,the principle of ,gascoigne's micrometer was that of two pointers lying parallel1 and in this position pointing to zero4 ,these were arranged so that the turning of a single screw separated or approximated them at will1 and the angle thus formed could be determined with absolute accuracy4 ,huygens's micrometer was a slip of metal of variable breadth inserted at the focus of the telescope4 ,by observing at what point this exactly covered an object under examination1 and knowing the focal length of the telescope and the width of the metal1 he could then deduce the apparent angular breadth of the object4 ,huygens discovered also that an object placed in the common focus of the two lenses of a ,kepler telescope appears distinct and clearly defined4 ,the micrometers of ,malvasia1 and later of ,auzout and ,picard1 are the development of this discovery4 ,malvasia's micrometer1 which he described in #affb1 consisted of fine silver wires placed at right-angles at the focus of his telescope4 ,as telescopes increased in power1 however1 it was found that even the finest wire1 or silk filaments1 were much too thick for astronomical observations1 as they obliterated the image1 and so1 finally1 the spider-web came into use and is still used in micrometers and other similar instruments4 ,before that time1 however1 the fine crossed wires had revolutionized astronomical observations4 ,we may judge how great was the improvement which these contrivances introduced into the art of observing1 says ,whewell1 by finding that ,hevelius refused to adopt them because they would make all the old observations of no value4 ,he had spent a laborious and active life in the exercise of the old methods1 and could not bear to think that all the treasures which he had accumulated had lost their worth by the discovery of a new mine of richer ones47#a7 ,until the time of ,newton1 all the telescopes in use were either of the ,galilean or ,keplerian type1 that is1 refractors4 ,but about the year #afgj ,newton constructed his first reflecting telescope1 which was greatly superior to1 although much smaller than1 the telescopes then in use4 ,he was led to this invention by his experiments with light and colors4 ,in #afga he presented to the ,royal ,society a second and somewhat larger telescope1 which he had made2 and this type of instrument was little improved upon until the introduction of the achromatic telescope1 invented by ,chester ,moor ,hall in #agcc4 ,as is generally known1 the element of accurate measurements of time plays an important part in the measurements of the movements of the heavenly bodies4 ,in fact1 one was scarcely possible without the other1 and as it happened it was the same man1 ,huygens1 who perfected ,kepler's telescope and invented the pendulum clock4 ,the general idea had been suggested by ,galileo2 or1 better perhaps1 the equal time occupied by the successive oscillations of the pendulum had been noted by him4 ,he had not been able1 however1 to put this discovery to practical account4 ,but in #afef ,huygens invented the necessary machinery for maintaining the motion of the pendulum and perfected several accurate clocks4 ,these clocks were of invaluable assistance to the astronomers1 affording as they did a means of keeping time more accurate than the sun itself4 ,when ,picard had corrected the variation caused by heat and cold acting upon the pendulum rod by combining metals of different degrees of expansibility1 a high degree of accuracy was possible4 ,but while the pendulum clock was an unequalled stationary time-piece1 it was useless in such unstable situations as1 for example1 on shipboard4 ,but here again ,huygens played a prominent part by first applying the coiled balance-spring for regulating watches and marine clocks4 ,the idea of applying a spring to the balance-wheel was not original with ,huygens1 however1 as it had been first conceived by ,robert ,hooke2 but ,huygens's application made practical ,hooke's idea4 ,in ,england the importance of securing accurate watches or marine clocks was so fully appreciated that a reward of ,l#bj1jjj sterling was offered by ,parliament as a stimulus to the inventor of such a time-piece4 ,the immediate incentive for this offer was the obvious fact that with such an instrument the determination of the longitude of places would be much simplified4 ,encouraged by these offers1 a certain carpenter named ,harrison turned his attention to the subject of watch-making1 and1 after many years of labor1 in #ageh produced a spring time-keeper which1 during a sea-voyage occupying one hundred and sixty-one days1 varied only one minute and five seconds4 ,this gained for ,harrison a reward ,of ,l#ejjj sterling at once1 and a little later ,l#aj1jjj more1 from ,parliament4 ,while inventors were busy with the problem of accurate chronometers1 however1 another instrument for taking longitude at sea had been invented4 ,this was the reflecting quadrant1 or sextant1 as the improved instrument is now called1 invented by ,john ,hadley in #agca1 and independently by ,thomas ,godfrey1 a poor glazier of ,philadelphia1 in #agcj4 ,godfrey's invention1 which was constructed on the same principle as that of the ,hadley instrument1 was not generally recognized until two years after ,hadley's discovery1 although the instrument was finished and actually in use on a sea-voyage some months before ,hadley reported his invention4 ,the principle of the sextant1 however1 seems to have been known to ,newton1 who constructed an instrument not very unlike that of ,hadley2 but this invention was lost sight of until several years after the philosopher's death and some time after ,hadley's invention4 ,the introduction of the sextant greatly simplified taking reckonings at sea as well as facilitating taking the correct longitude of distant places4 ,before that time the mariner was obliged to depend upon his compass1 a cross-staff1 or an astrolabe1 a table of the sun's declination and a correction for the altitude of the polestar1 and very inadequate and incorrect charts4 ,such were the instruments used by ,columbus and ,vasco da ,gama and their immediate successors4 ,during the ,newtonian period the microscopes generally in use were those constructed of simple lenses1 for although compound microscopes were known1 the difficulties of correcting aberration had not been surmounted1 and a much clearer field was given by the simple instrument4 ,the results obtained by the use of such instruments1 however1 were very satisfactory in many ways4 ,by referring to certain plates in this volume1 which reproduce illustrations from ,robert ,hooke's work on the microscope1 it will be seen that quite a high degree of effectiveness had been attained4 ,and it should be recalled that ,antony von ,leeuwenhoek1 whose death took place shortly before ,newton's1 had discovered such micro-organisms as bacteria1 had seen the blood corpuscles in circulation1 and examined and described other microscopic structures of the body4 ,,xiv4 ,,progress ,,in ,,electricity ,,from ,,gilbert ,,and ,,von ,,guericke ,,to ,,franklin ,we have seen how ,gilbert1 by his experiments with magnets1 gave an impetus to the study of magnetism and electricity4 ,gilbert himself demonstrated some facts and advanced some theories1 but the system of general laws was to come later4 ,to this end the discovery of electrical repulsion1 as well as attraction1 by ,von ,guericke1 with his sulphur ball1 was a step forward2 but something like a century passed after ,gilbert's beginning before anything of much importance was done in the field of electricity4 ,in #agje1 however1 ,francis ,hauksbee began a series of experiments that resulted in some startling demonstrations4 ,for many years it had been observed that a peculiar light was seen sometimes in the mercurial barometer1 but ,hauksbee and the other scientific investigators supposed the radiance to be due to the mercury in a vacuum1 brought about1 perhaps1 by some agitation4 ,that this light might have any connection with electricity did not1 at first1 occur to ,hauksbee any more than it had to his predecessors4 ,the problem that interested him was whether the vacuum in the tube of the barometer was essential to the light2 and in experimenting to determine this1 he invented his mercurial fountain4 ,having exhausted the air in a receiver containing some mercury1 he found that by allowing air to rush through the mercury the metal became a jet thrown in all directions against the sides of the vessel1 making a great1 flaming shower1 like flashes of lightning1 as he said4 ,but it seemed to him that there was a difference between this light and the glow noted in the barometer4 ,this was a bright light1 whereas the barometer light was only a glow4 ,pondering over this1 ,hauksbee tried various experiments1 revolving pieces of amber1 flint1 steel1 and other substances in his exhausted air-pump receiver1 with negative1 or unsatisfactory1 results4 ,finally1 it occurred to him to revolve an exhausted glass tube itself4 ,mounting such a globe of glass on an axis so that it could be revolved rapidly by a belt running on a large wheel1 he found that by holding his fingers against the whirling globe a purplish glow appeared1 giving sufficient light so that coarse print could be read1 and the walls of a dark room sensibly lightened several feet away4 ,as air was admitted to the globe the light gradually diminished1 and it seemed to him that this diminished glow was very similar in appearance to the pale light seen in the mercurial barometer4 ,could it be that it was the glass1 and not the mercury1 that caused it8 ,going to a barometer he proceeded to rub the glass above the column of mercury over the vacuum1 without disturbing the mercury1 when1 to his astonishment1 the same faint light1 to all appearances identical with the glow seen in the whirling globe1 was produced4 ,turning these demonstrations over in his mind1 he recalled the well-known fact that rubbed glass attracted bits of paper1 leaf-brass1 and other light substances1 and that this phenomenon was supposed to be electrical4 ,this led him finally to determine the hitherto unsuspected fact1 that the glow in the barometer was electrical as was also the glow seen in his whirling globe4 ,continuing his investigations1 he soon discovered that solid glass rods when rubbed produced the same effects as the tube4 ,by mere chance1 happening to hold a rubbed tube to his cheek1 he felt the effect of electricity upon the skin like a number of fine1 limber hairs1 and this suggested to him that1 since the mysterious manifestation was so plain1 it could be made to show its effects upon various substances4 ,suspending some woollen threads over the whirling glass cylinder1 he found that as soon as he touched the glass with his hands the threads1 which were waved about by the wind of the revolution1 suddenly straightened themselves in a peculiar manner1 and stood in a radical position1 pointing to the axis of the cylinder4 ,encouraged by these successes1 he continued his experiments with breathless expectancy1 and soon made another important discovery1 that of induction1 although the real significance of this discovery was not appreciated by him or1 for that matter1 by any one else for several generations following4 ,this discovery was made by placing two revolving cylinders within an inch of each other1 one with the air exhausted and the other unexhausted4 ,placing his hand on the unexhausted tube caused the light to appear not only upon it1 but on the other tube as well4 ,a little later he discovered that it is not necessary to whirl the exhausted tube to produce this effect1 but simply to place it in close proximity to the other whirling cylinder4 ,these demonstrations of ,hauksbee attracted wide attention and gave an impetus to investigators in the field of electricity2 but still no great advance was made for something like a quarter of a century4 ,possibly the energies of the scientists were exhausted for the moment in exploring the new fields thrown open to investigation by the colossal work of ,newton4 ,,the ,,experiments ,,of ,,stephen ,,gray ,in #agbi ,stephen ,gray 7died in #agcf71 an eccentric and irascible old pensioner of the ,charter ,house in ,london1 undertook some investigations along lines similar to those of ,hauksbee4 ,while experimenting with a glass tube for producing electricity1 as ,hauksbee had done1 he noticed that the corks with which he had stopped the ends of the tube to exclude the dust1 seemed to attract bits of paper and leaf-brass as well as the glass itself4 ,he surmised at once that this mysterious electricity1 or virtue1 as it was called1 might be transmitted through other substances as it seemed to be through glass4 ,having by me an ivory ball of about one and three-tenths of an inch in diameter1 he writes1 with a hole through it1 this ,i fixed upon a fir-stick about four inches long1 thrusting the other end into the cork1 and upon rubbing the tube found that the ball attracted and repelled the feather with more vigor than the cork had done1 repeating its attractions and repulsions for many times together4 ,i then fixed the ball on longer sticks1 first upon one of eight inches1 and afterwards upon one of twenty-four inches long1 and found the effect the same4 ,then ,i made use of iron1 and then brass wire1 to fix the ball on1 inserting the other end of the wire in the cork1 as before1 and found that the attraction was the same as when the fir-sticks were made use of1 and that when the feather was held over against any part of the wire it was attracted by it2 but though it was then nearer the tube1 yet its attraction was not so strong as that of the ball4 ,when the wire of two or three feet long was used1 its vibrations1 caused by the rubbing of the tube1 made it somewhat troublesome to be managed4 ,this put me to thinking whether1 if the ball was hung by a pack-thread and suspended by a loop on the tube1 the electricity would not be carried down the line to the ball2 ,i found it to succeed accordingly2 for upon suspending the ball on the tube by a pack-thread about three feet long1 when the tube had been excited by rubbing1 the ivory ball attracted and repelled the leaf-brass over which it was held as freely as it had done when it was suspended on sticks or wire1 as did also a ball of cork1 and another of lead that weighed one pound and a quarter4 ,gray next attempted to determine what other bodies would attract the bits of paper1 and for this purpose he tried coins1 pieces of metal1 and even a tea-kettle1 both empty and filled with hot or cold water2 but he found that the attractive power appeared to be the same regardless of the substance used4 ,i next proceeded1 he continues1 to try at what greater distances the electric virtues might be carried1 and having by me a hollow walking-cane1 which ,i suppose was part of a fishing-rod1 two feet seven inches long1 ,i cut the great end of it to fit into the bore of the tube1 into which it went about five inches2 then when the cane was put into the end of the tube1 and this excited1 the cane drew the leaf-brass to the height of more than two inches1 as did also the ivory ball1 when by a cork and stick it had been fixed to the end of the cane4444 ,with several pieces of ,spanish cane and fir-sticks ,i afterwards made a rod1 which1 together with the tube1 was somewhat more than eighteen feet long1 which was the greatest length ,i could conveniently use in my chamber1 and found the attraction very nearly1 if not altogether1 as strong as when the ball was placed on the shorter rods4 ,this experiment exhausted the capacity of his small room1 but on going to the country a little later he was able to continue his experiments4 ,to a pole of eighteen feet there was tied a line of thirty-four feet in length1 so that the pole and line together were fifty-two feet4 ,with the pole and tube ,i stood in the balcony1 the assistant below in the court1 where he held the board with the leaf-brass on it4 ,then the tube being excited1 as usual1 the electric virtue passed from the tube up the pole and down the line to the ivory ball1 which attracted the leaf-brass1 and as the ball passed over it in its vibrations the leaf-brass would follow it till it was carried off the board4 ,gray next attempted to send the electricity over a line suspended horizontally4 ,to do this he suspended the pack-thread by pieces of string looped over nails driven into beams for that purpose4 ,but when thus suspended he found that the ivory ball no longer excited the leaf-brass1 and he guessed correctly that the explanation of this lay in the fact that when the electric virtue came to the loop that was suspended on the beam it went up the same to the beam1 none of it reaching the ball4 ,as we shall see from what follows1 however1 ,gray had not as yet determined that certain substances will conduct electricity while others will not4 ,but by a lucky accident he made the discovery that silk1 for example1 was a poor conductor1 and could be turned to account in insulating the conducting-cord4 ,a certain ,mr4 ,wheler had become much interested in the old pensioner and his work1 and1 as a guest at the ,wheler house1 ,gray had been repeating some of his former experiments with the fishing-rod1 line1 and ivory ball4 ,he had finally exhausted the heights from which these experiments could be made by climbing to the clock-tower and exciting bits of leaf-brass on the ground below4 ,as we had no greater heights here1 he says1 ,mr4 ,wheler was desirous to try whether we could not carry the electric virtue horizontally4 ,i then told him of the attempt ,i had made with that design1 but without success1 telling him the method and materials made use of1 as mentioned above4 ,he then proposed a silk line to support the line by which the electric virtue was to pass4 ,i told him it might do better upon account of its smallness2 so that there would be less virtue carried from the line of communication4 ,the first experiment was made in the matted gallery1 ,july #b1 #agbi1 about ten in the morning4 ,about four feet from the end of the gallery there was a cross line that was fixed by its ends to each side of the gallery by two nails2 the middle part of the line was silk1 the rest at each end pack-thread2 then the line to which the ivory ball was hung and by which the electric virtue was to be conveyed to it from the tube1 being eighty and one-half feet in length1 was laid on the cross silk line1 so that the ball hung about nine feet below it4 ,then the other end of the line was by a loop suspended on the glass cane1 and the leaf-brass held under the ball on a piece of white paper2 when1 the tube being rubbed1 the ball attracted the leaf-brass1 and kept it suspended on it for some time4 ,this experiment succeeded so well that the string was lengthened until it was some two hundred and ninety-three feet long2 and still the attractive force continued1 apparently as strong as ever4 ,on lengthening the string still more1 however1 the extra weight proved too much for the strength of the silk suspending-thread4 ,upon this1 says ,gray1 having brought with me both brass and iron wire1 instead of the silk we put up small iron wire2 but this was too weak to bear the weight of the line4 ,we then took brass wire of a somewhat larger size than that of iron4 ,this supported our line of communication2 but though the tube was well rubbed1 yet there was not the least motion or attraction given by the ball1 neither with the great tube1 which we made use of when we found the small solid cane to be ineffectual2 by which we were now convinced that the success we had before depended upon the lines that supported the line of communication being silk1 and not upon their being small1 as before trial ,i had imagined it might be2 the same effect happening here as it did when the line that is to convey the electric virtue is supported by pack-thread4 ,soon after this ,gray and his host suspended a pack-thread six hundred and sixty-six feet long on poles across a field1 these poles being slightly inclined so that the thread could be suspended from the top by small silk cords1 thus securing the necessary insulation4 ,this pack-thread line1 suspended upon poles along which ,gray was able to transmit the electricity1 is very suggestive of the modern telegraph1 but the idea of signalling or making use of it for communicating in any way seems not to have occurred to any one at that time4 ,even the successors of ,gray who constructed lines some thousands of feet long made no attempt to use them for anything but experimental purposes--simply to test the distances that the current could be sent4 ,nevertheless1 ,gray should probably be credited with the discovery of two of the most important properties of electricity--that it can be conducted and insulated1 although1 as we have seen1 ,gilbert and ,von ,guericke had an inkling of both these properties4 ,,experiments ,,of ,,cisternay ,,dufay ,so far ,england had produced the two foremost workers in electricity4 ,it was now ,france's turn to take a hand1 and1 through the efforts of ,charles ,francois de ,cisternay ,dufay1 to advance the science of electricity very materially4 ,dufay was a highly educated savant1 who had been soldier and diplomat betimes1 but whose versatility and ability as a scientist is shown by the fact that he was the only man who had ever contributed to the annals of the academy investigations in every one of the six subjects admitted by that institution as worthy of recognition4 ,dufay upheld his reputation in this new field of science1 making many discoveries and correcting many mistakes of former observers4 ,in this work also he proved himself a great diplomat by remaining on terms of intimate friendship with ,dr4 ,gray--a thing that few people were able to do4 ,almost his first step was to overthrow the belief that certain bodies are electrics and others non-electrics--that is1 that some substances when rubbed show certain peculiarities in attracting pieces of paper and foil which others do not4 ,dufay proved that all bodies possess this quality in a certain degree4 ,i have found that all bodies 7metallic1 soft1 or fluid ones excepted71 he says1 may be made electric by first heating them more or less and then rubbing them on any sort of cloth4 ,so that all kinds of stones1 as well precious as common1 all kinds of wood1 and1 in general1 everything that ,i have made trial of1 became electric by beating and rubbing1 except such bodies as grow soft by beat1 as the gums1 which dissolve in water1 glue1 and such like substances4 ',tis also to be remarked that the hardest stones or marbles require more chafing or heating than others1 and that the same rule obtains with regard to the woods2 so that box1 lignum vitae1 and such others must be chafed almost to the degree of browning1 whereas fir1 lime-tree1 and cork require but a moderate heat4 ,having read in one of ,mr4 ,gray's letters that water may be made electrical by holding the excited glass tube near it 7a dish of water being fixed to a stand and that set on a plate of glass1 or on the brim of a drinking-glass1 previously chafed1 or otherwise warmed71 ,i have found1 upon trial1 that the same thing happened to all bodies without exception1 whether solid or fluid1 and that for that purpose 'twas sufficient to set them on a glass stand slightly warmed1 or only dried1 and then by bringing the tube near them they immediately became electrical4 ,i made this experiment with ice1 with a lighted wood-coal1 and with everything that came into my mind2 and ,i constantly remarked that such bodies of themselves as were least electrical had the greatest degree of electricity communicated to them at the approval of the glass tube4 ,his next important discovery was that colors had nothing to do with the conduction of electricity4 ,mr4 ,gray says1 towards the end of one of his letters1 he writes1 that bodies attract more or less according to their colors4 ,this led me to make several very singular experiments4 ,i took nine silk ribbons of equal size1 one white1 one black1 and the other seven of the seven primitive colors1 and having hung them all in order in the same line1 and then bringing the tube near them1 the black one was first attracted1 the white one next1 and others in order successively to the red one1 which was attracted least1 and the last of them all4 ,i afterwards cut out nine square pieces of gauze of the same colors with the ribbons1 and having put them one after another on a hoop of wood1 with leaf-gold under them1 the leaf-gold was attracted through all the colored pieces of gauze1 but not through the white or black4 ,this inclined me first to think that colors contribute much to electricity1 but three experiments convinced me to the contrary4 ,the first1 that by warming the pieces of gauze neither the black nor white pieces obstructed the action of the electrical tube more than those of the other colors4 ,in like manner1 the ribbons being warmed1 the black and white are not more strongly attracted than the rest4 ,the second is1 the gauzes and ribbons being wetted1 the ribbons are all attracted equally1 and all the pieces of gauze equally intercept the action of electric bodies4 ,the third is1 that the colors of a prism being thrown on a white gauze1 there appear no differences of attraction4 ,whence it proceeds that this difference proceeds1 not from the color1 as a color1 but from the substances that are employed in the dyeing4 ,for when ,i colored ribbons by rubbing them with charcoal1 carmine1 and such other substances1 the differences no longer proved the same4 ,in connection with his experiments with his thread suspended on glass poles1 ,dufay noted that a certain amount of the current is lost1 being given off to the surrounding air4 ,he recommended1 therefore1 that the cords experimented with be wrapped with some non-conductor--that it should be insulated 7isolee71 as he said1 first making use of this term4 ,,dufay ,,discovers ,,vitreous ,,and ,,resinous ,,electricity ,it has been shown in an earlier chapter how ,von ,guericke discovered that light substances like feathers1 after being attracted to the sulphur-ball electric-machine1 were repelled by it until they touched some object4 ,von ,guericke noted this1 but failed to explain it satisfactorily4 ,dufay1 repeating ,von ,guericke's experiments1 found that if1 while the excited tube or sulphur ball is driving the repelled feather before it1 the ball be touched or rubbed anew1 the feather comes to it again1 and is repelled alternately1 as1 the hand touches the ball1 or is withdrawn4 ,from this he concluded that electrified bodies first attract bodies not electrified1 charge them with electricity1 and then repel them1 the body so charged not being attracted again until it has discharged its electricity by touching something4 ,on making the experiment related by ,otto von ,guericke1 he says1 which consists in making a ball of sulphur rendered electrical to repel a down feather1 ,i perceived that the same effects were produced not only by the tube1 but by all electric bodies whatsoever1 and ,i discovered that which accounts for a great part of the irregularities and1 if ,i may use the term1 of the caprices that seem to accompany most of the experiments on electricity4 ,this principle is that electric bodies attract all that are not so1 and repel them as soon as they are become electric by the vicinity or contact of the electric body4 ,thus gold-leaf is first attracted by the tube1 and acquires an electricity by approaching it1 and of consequence is immediately repelled by it4 ,nor is it reattracted while it retains its electric quality4 ,but if while it is thus sustained in the air it chance to light on some other body1 it straightway loses its electricity1 and in consequence is reattracted by the tube1 which1 after having given it a new electricity1 repels it a second time1 which continues as long as the tube keeps its electricity4 ,upon applying this principle to the various experiments of electricity1 one will be surprised at the number of obscure and puzzling facts that it clears up4 ,for ,mr4 ,hauksbee's famous experiment of the glass globe1 in which silk threads are put1 is a necessary consequence of it4 ,when these threads are arranged in the form of rays by the electricity of the sides of the globe1 if the finger be put near the outside of the globe the silk threads within fly from it1 as is well known1 which happens only because the finger or any other body applied near the glass globe is thereby rendered electrical1 and consequently repels the silk threads which are endowed with the same quality4 ,with a little reflection we may in the same manner account for most of the other phenomena1 and which seem inexplicable without attending to this principle4 ,chance has thrown in my way another principle1 more universal and remarkable than the preceding one1 and which throws a new light on the subject of electricity4 ,this principle is that there are two distinct electricities1 very different from each other1 one of which ,i call vitreous electricity and the other resinous electricity4 ,the first is that of glass1 rock-crystal1 precious stones1 hair of animals1 wool1 and many other bodies4 ,the second is that of amber1 copal1 gumsack1 silk thread1 paper1 and a number of other substances4 ,the characteristic of these two electricities is that a body of the vitreous electricity1 for example1 repels all such as are of the same electricity1 and on the contrary attracts all those of the resinous electricity2 so that the tube1 made electrical1 will repel glass1 crystal1 hair of animals1 etc41 when rendered electric1 and will attract silk thread1 paper1 etc41 though rendered electrical likewise4 ,amber1 on the contrary1 will attract electric glass and other substances of the same class1 and will repel gum-sack1 copal1 silk thread1 etc4 ,two silk ribbons rendered electrical will repel each other2 two woollen threads will do the like2 but a woollen thread and a silken thread will mutually attract each other4 ,this principle very naturally explains why the ends of threads of silk or wool recede from each other1 in the form of pencil or broom1 when they have acquired an electric quality4 ,from this principle one may with the same ease deduce the explanation of a great number of other phenomena2 and it is probable that this truth will lead us to the further discovery of many other things4 ,in order to know immediately to which of the two classes of electrics belongs any body whatsoever1 one need only render electric a silk thread1 which is known to be of the resinuous electricity1 and see whether that body1 rendered electrical1 attracts or repels it4 ,if it attracts it1 it is certainly of the kind of electricity which ,i call ,,vitreous2 if1 on the contrary1 it repels it1 it is of the same kind of electricity with the silk--that is1 of the ,,resinous4 ,i have likewise observed that communicated electricity retains the same properties2 for if a ball of ivory or wood be set on a glass stand1 and this ball be rendered electric by the tube1 it will repel such substances as the tube repels2 but if it be rendered electric by applying a cylinder of gum-sack near it1 it will produce quite contrary effects--namely1 precisely the same as gum-sack would produce4 ,in order to succeed in these experiments1 it is requisite that the two bodies which are put near each other1 to find out the nature of their electricity1 be rendered as electrical as possible1 for if one of them was not at all or but weakly electrical1 it would be attracted by the other1 though it be of that sort that should naturally be repelled by it4 ,but the experiment will always succeed perfectly well if both bodies are sufficiently electrical47#a7 ,as we now know1 ,dufay was wrong in supposing that there were two different kinds of electricity1 vitreous and resinous4 ,a little later the matter was explained by calling one positive electricity and the other negative1 and it was believed that certain substances produced only the one kind peculiar to that particular substance4 ,we shall see presently1 however1 that some twenty years later an ,english scientist dispelled this illusion by producing both positive 7or vitreous7 and negative 7or resinous7 electricity on the same tube of glass at the same time4 ,after the death of ,dufay his work was continued by his fellow-countryman ,dr4 ,joseph ,desaguliers1 who was the first experimenter to electrify running water1 and who was probably the first to suggest that clouds might be electrified bodies4 ,but about1 this time--that is1 just before the middle of the eighteenth century--the field of greatest experimental activity was transferred to ,germany1 although both ,england and ,france were still active4 ,the two ,german philosophers who accomplished most at this time were ,christian ,august ,hansen and ,george ,matthias ,bose1 both professors in ,leipsic4 ,both seem to have conceived the idea1 simultaneously and independently1 of generating electricity by revolving globes run by belt and wheel in much the same manner as the apparatus of ,hauksbee4 ,with such machines it was possible to generate a much greater amount of electricity than ,dufay had been able to do with the rubbed tube1 and so equipped1 the two ,german professors were able to generate electric sparks and jets of fire in a most startling manner4 ,bose in particular had a love for the spectacular1 which he turned to account with his new electrical machine upon many occasions4 ,on one of these occasions he prepared an elaborate dinner1 to which a large number of distinguished guests were invited4 ,before the arrival of the company1 however1 ,bose insulated the great banquet-table on cakes of pitch1 and then connected it with a huge electrical machine concealed in another room4 ,all being ready1 and the guests in their places about to be seated1 ,bose gave a secret signal for starting this machine1 when1 to the astonishment of the party1 flames of fire shot from flowers1 dishes1 and viands1 giving a most startling but beautiful display4 ,to add still further to the astonishment of his guests1 ,bose then presented a beautiful young lady1 to whom each of the young men of the party was introduced4 ,in some mysterious manner she was insulated and connected with the concealed electrical machine1 so that as each gallant touched her fingertips he received an electric shock that made him reel4 ,not content with this1 the host invited the young men to kiss the beautiful maid4 ,but those who were bold enough to attempt it received an electric shock that nearly knocked their teeth out1 as the professor tells it4 ,,ludolff',s ,,experiment ,,with ,,the ,,electric ,,spark ,but ,bose was only one of several ,german scientists who were making elaborate experiments4 ,while ,bose was constructing and experimenting with his huge machine1 another ,german1 ,christian ,friedrich ,ludolff1 demonstrated that electric sparks are actual fire--a fact long suspected but hitherto unproved4 ,ludolff's discovery1 as it chanced1 was made in the lecture-hall of the reorganized ,academy of ,sciences at ,berlin1 before an audience of scientists and great personages1 at the opening lecture in #agdd4 ,in the course of this lecture on electricity1 during which some of the well-known manifestations of electricity were being shown1 it occurred to ,ludolff to attempt to ignite some inflammable fluid by projecting an electric spark upon its surface with a glass rod4 ,this idea was suggested to him while performing the familiar experiment of producing a spark on the surface of a bowl of water by touching it with a charged glass rod4 ,he announced to his audience the experiment he was about to attempt1 and having warmed a spoonful of sulphuric ether1 he touched its surface with the glass rod1 causing it to burst into flame4 ,this experiment left no room for doubt that the electric spark was actual fire4 ,as soon as this experiment of ,ludolff's was made known to ,bose1 he immediately claimed that he had previously made similar demonstrations on various inflammable substances1 both liquid and solid2 and it seems highly probable that he had done so1 as he was constantly experimenting with the sparks1 and must almost certainly have set certain substances ablaze by accident1 if not by intent4 ,at all events1 he carried on a series of experiments along this line to good purpose1 finally succeeding in exploding gun-powder1 and so making the first forerunner of the electric fuses now so universally used in blasting1 firing cannon1 and other similar purposes4 ,it was ,bose also who1 observing some of the peculiar manifestations in electrified tubes1 and noticing their resemblance to northern lights1 was one of the first1 if not the first1 to suggest that the aurora borealis is of electric origin4 ,these spectacular demonstrations had the effect of calling public attention to the fact that electricity is a most wonderful and mysterious thing1 to say the least1 and kept both scientists and laymen agog with expectancy4 ,bose himself was aflame with excitement1 and so determined in his efforts to produce still stronger electric currents1 that he sacrificed the tube of his twenty-foot telescope for the construction of a mammoth electrical machine4 ,with this great machine a discharge of electricity was generated powerful enough to wound the skin when it happened to strike it4 ,until this time electricity had been little more than a plaything of the scientists--or1 at least1 no practical use had been made of it4 ,as it was a practising physician1 ,gilbert1 who first laid the foundation for experimenting with the new substance1 so again it was a medical man who first attempted to put it to practical use1 and that in the field of his profession4 ,gottlieb ,kruger1 a professor of medicine at ,halle in #agdc1 suggested that electricity might be of use in some branches of medicine2 and the year following ,christian ,gottlieb ,kratzenstein made a first experiment to determine the effects of electricity upon the body4 ,he found that the action of the heart was accelerated1 the circulation increased1 and that muscles were made to contract by the discharge3 and he began at once administering electricity in the treatment of certain diseases4 ,he found that it acted beneficially in rheumatic affections1 and that it was particularly useful in certain nervous diseases1 such as palsies4 ,this was over a century ago1 and to-day about the most important use made of the particular kind of electricity with which he experimented 7the static1 or frictional7 is for the treatment of diseases affecting the nervous system4 ,by the middle of the century a perfect mania for making electrical machines had spread over ,europe1 and the whirling1 hand-rubbed globes were gradually replaced by great cylinders rubbed by woollen cloths or pads1 and generating an enormous power of electricity4 ,these cylinders were run by belts and foot-treadles1 and gave a more powerful1 constant1 and satisfactory current than known heretofore4 ,while making experiments with one of these machines1 ,johann ,heinrichs ,winkler attempted to measure the speed at which electricity travels4 ,to do this he extended a cord suspended on silk threads1 with the end attached to the machine and the end which was to attract the bits of gold-leaf near enough together so that the operator could watch and measure the interval of time that elapsed between the starting of the current along the cord and its attracting the gold-leaf4 ,the length of the cord used in this experiment was only a little over a hundred feet1 and this was1 of course1 entirely inadequate1 the current travelling that space apparently instantaneously4 ,the improved method of generating electricity that had come into general use made several of the scientists again turn their attention more particularly to attempt putting it to some practical account4 ,they were stimulated to these efforts by the constant reproaches that were beginning to be heard on all sides that electricity was merely a philosopher's plaything4 ,one of the first to succeed in inventing something that approached a practical mechanical contrivance was ,andrew ,gordon1 a ,scotch ,benedictine monk4 ,he invented an electric bell which would ring automatically1 and a little motor1 if it may be so called4 ,and while neither of these inventions were of any practical importance in themselves1 they were attempts in the right direction1 and were the first ancestors of modern electric bells and motors1 although the principle upon which they worked was entirely different from modern electrical machines4 ,the motor was simply a wheel with several protruding metal points around its rim4 ,these points were arranged to receive an electrical discharge from a frictional machine1 the discharge causing the wheel to rotate4 ,there was very little force given to this rotation1 however1 not enough1 in fact1 to make it possible to more than barely turn the wheel itself4 ,two more great discoveries1 galvanism and electro-magnetic induction1 were necessary before the practical motor became possible4 ,the sober ,gordon had a taste for the spectacular almost equal to that of ,bose4 ,it was he who ignited a bowl of alcohol by turning a stream of electrified water upon it1 thus presenting the seeming paradox of fire produced by a stream of water4 ,gordon also demonstrated the power of the electrical discharge by killing small birds and animals at a distance of two hundred ells1 the electricity being conveyed that distance through small wires4 ,,the ,,leyden ,,jar ,,discovered ,as yet no one had discovered that electricity could be stored1 or generated in any way other than by some friction device4 ,but very soon two experimenters1 ,dean von ,kleist1 of ,camin1 ,pomerania1 and ,pieter van ,musschenbroek1 the famous teacher of ,leyden1 apparently independently1 made the discovery of what has been known ever since as the ,leyden jar4 ,and although ,musschenbroek is sometimes credited with being the discoverer1 there can be no doubt that ,von ,kleist's discovery antedated his by a few months at least4 ,von ,kleist found that by a device made of a narrow-necked bottle containing alcohol or mercury1 into which an iron nail was inserted1 he was able to retain the charge of electricity1 after electrifying this apparatus with the frictional machine4 ,he made also a similar device1 more closely resembling the modern ,leyden jar1 from a thermometer tube partly filled with water and a wire tipped with a ball of lead4 ,with these devices he found that he could retain the charge of electricity for several hours1 and could produce the usual electrical manifestations1 even to igniting spirits1 quite as well as with the frictional machine4 ,these experiments were first made in ,october1 #agde1 and after a month of further experimenting1 ,von ,kleist sent the following account of them to several of the leading scientists1 among others1 ,dr4 ,lieberkuhn1 in ,berlin1 and ,dr4 ,kruger1 of ,halle4 ,when a nail1 or a piece of thick brass wire1 is put into a small apothecary's phial and electrified1 remarkable effects follow2 but the phial must be very dry1 or warm4 ,i commonly rub it over beforehand with a finger on which ,i put some pounded chalk4 ,if a little mercury or a few drops of spirit of wine be put into it1 the experiment succeeds better4 ,as soon as this phial and nail are removed from the electrifying-glass1 or the prime conductor1 to which it has been exposed1 is taken away1 it throws out a pencil of flame so long that1 with this burning machine in my hand1 ,i have taken above sixty steps in walking about my room4 ,when it is electrified strongly1 ,i can take it into another room and there fire spirits of wine with it4 ,if while it is electrifying ,i put my finger1 or a piece of gold which ,i hold in my hand1 to the nail1 ,i receive a shock which stuns my arms and shoulders4 ,a tin tube1 or a man1 placed upon electrics1 is electrified much stronger by this means than in the common way4 ,when ,i present this phial and nail to a tin tube1 which ,i have1 fifteen feet long1 nothing but experience can make a person believe how strongly it is electrified4 ,i am persuaded1 he adds1 that in this manner ,mr4 ,bose would not have taken a second electrical kiss4 ,two thin glasses have been broken by the shock of it4 ,it appears to me very extraordinary1 that when this phial and nail are in contact with either conducting or non-conducting matter1 the strong shock does not follow4 ,i have cemented it to wood1 metal1 glass1 sealing-wax1 etc41 when ,i have electrified without any great effect4 ,the human body1 therefore1 must contribute something to it4 ,this opinion is confirmed by my observing that unless ,i hold the phial in my hand ,i cannot fire spirits of wine with it47#b7 ,but it seems that none of the men who saw this account were able to repeat the experiment and produce the effects claimed by ,von ,kleist1 and probably for this reason the discovery of the obscure ,pomeranian was for a time lost sight of4 ,musschenbroek's discovery was made within a short time after ,von ,kleist's--in fact1 only a matter of about two months later4 ,but the difference in the reputations of the two discoverers insured a very different reception for their discoveries4 ,musschenbroek was one of the foremost teachers of ,europe1 and so widely known that the great universities vied with each other1 and kings were bidding1 for his services4 ,naturally1 any discovery made by such a famous person would soon be heralded from one end of ,europe to the other4 ,and so when this professor of ,leyden made his discovery1 the apparatus came to be called the ,leyden jar1 for want of a better name4 ,there can be little doubt that ,musschenbroek made his discovery entirely independently of any knowledge of ,von ,kleist's1 or1 for that matter1 without ever having heard of the ,pomeranian1 and his actions in the matter are entirely honorable4 ,his discovery was the result of an accident4 ,while experimenting to determine the strength of electricity he suspended a gun-barrel1 which he charged with electricity from a revolving glass globe4 ,from the end of the gun-barrel opposite the globe was a brass wire1 which extended into a glass jar partly filled with water4 ,musschenbroek held in one hand this jar1 while with the other he attempted to draw sparks from the barrel4 ,suddenly he received a shock in the hand holding the jar1 that shook him like a stroke of lightning1 and for a moment made him believe that he was done for4 ,continuing his experiments1 nevertheless1 he found that if the jar were placed on a piece of metal on the table1 a shock would be received by touching this piece of metal with one hand and touching the wire with the other--that is1 a path was made for the electrical discharge through the body4 ,this was practically the same experiment as made by ,von ,kleist with his bottle and nail1 but carried one step farther1 as it showed that the jar need not necessarily be held in the hand1 as believed by ,von ,kleist4 ,further experiments1 continued by many philosophers at the time1 revealed what ,von ,kleist had already pointed out1 that the electrified jar remained charged for some time4 ,soon after this ,daniel ,gralath1 wishing to obtain stronger discharges than could be had from a single ,leyden jar1 conceived the idea of combining several jars1 thus for the first time grouping the generators in a battery which produced a discharge strong enough to kill birds and small animals4 ,he also attempted to measure the strength of the discharges1 but soon gave it up in despair1 and the solution of this problem was left for late nineteenth-century scientists4 ,the advent of the ,leyden jar1 which made it possible to produce strong electrical discharges from a small and comparatively simple device1 was followed by more spectacular demonstrations of various kinds all over ,europe4 ,these exhibitions aroused the interest of the kings and noblemen1 so that electricity no longer remained a plaything of the philosophers alone1 but of kings as well4 ,a favorite demonstration was that of sending the electrical discharge through long lines of soldiers linked together by pieces of wire1 the discharge causing them to spring into the air simultaneously in a most astonishing manner4 ,a certain monk in ,paris prepared a most elaborate series of demonstrations for the amusement of the king1 among other things linking together an entire regiment of nine hundred men1 causing them to perform simultaneous springs and contortions in a manner most amusing to the royal guests4 ,but not all the experiments being made were of a purely spectacular character1 although most of them accomplished little except in a negative way4 ,the famous ,abbe ,nollet1 for example1 combined useful experiments with spectacular demonstrations1 thus keeping up popular interest while aiding the cause of scientific electricity4 ,,william ,,watson ,naturally1 the new discoveries made necessary a new nomenclature1 new words and electrical terms being constantly employed by the various writers of that day4 ,among these writers was the ,english scientist ,william ,watson1 who was not only a most prolific writer but a tireless investigator4 ,many of the words coined by him are now obsolete1 but one at least1 circuit1 still remains in use4 ,in #agdf1 a ,french scientist1 ,louis ,guillaume le ,monnier1 bad made a circuit including metal and water by laying a chain half-way around the edge of a pond1 a man at either end holding it4 ,one of these men dipped his free hand in the water1 the other presenting a ,leyden jar to a rod suspended on a cork float on the water1 both men receiving a shock simultaneously4 ,watson1 a year later1 attempted the same experiment on a larger scale4 ,he laid a wire about twelve hundred feet long across ,westminster ,bridge over the ,thames1 bringing the ends to the water's edge on the opposite banks1 a man at one end holding the wire and touching the water4 ,a second man on the opposite side held the wire and a ,leyden jar2 and a third touched the jar with one hand1 while with the other he grasped a wire that extended into the river4 ,in this way they not only received the shock1 but fired alcohol as readily across the stream as could be done in the laboratory4 ,in this experiment ,watson discovered the superiority of wire over chain as a conductor1 rightly ascribing this superiority to the continuity of the metal4 ,watson continued making similar experiments over longer watercourses1 some of them as long as eight thousand feet1 and while engaged in making one of these he made the discovery so essential to later inventions1 that the earth could be used as part of the circuit in the same manner as bodies of water4 ,lengthening his wires he continued his experiments until a circuit of four miles was made1 and still the electricity seemed to traverse the course instantaneously1 and with apparently undiminished force1 if the insulation was perfect4 ,,benjamin ,,franklin ,watson's writings now carried the field of active discovery across the ,atlantic1 and for the first time an ,american scientist appeared--a scientist who not only rivalled1 but excelled1 his ,european contemporaries4 ,benjamin ,franklin1 of ,philadelphia1 coming into possession of some of ,watson's books1 became so interested in the experiments described in them that he began at once experimenting with electricity4 ,in ,watson's book were given directions for making various experiments1 and these assisted ,franklin in repeating the old experiments1 and eventually adding new ones4 ,associated with ,franklin1 and equally interested and enthusiastic1 if not equally successful in making discoveries1 were three other men1 ,thomas ,hopkinson1 ,philip ,sing1 and ,ebenezer ,kinnersley4 ,these men worked together constantly1 although it appears to have been ,franklin who made independently the important discoveries1 and formulated the famous ,franklinian theory4 ,working steadily1 and keeping constantly in touch with the progress of the ,european investigators1 ,franklin soon made some experiments which he thought demonstrated some hitherto unknown phases of electrical manifestation4 ,this was the effect of pointed bodies in ,,drawing ,,off and ,,throwing ,,off the electrical fire4 ,in his description of this phenomenon1 ,franklin writes3 ,place an iron shot of three or four inches diameter on the mouth of a clean1 dry1 glass bottle4 ,by a fine silken thread from the ceiling right over the mouth of the bottle1 suspend a small cork ball1 about the bigness of a marble2 the thread of such a length that the cork ball may rest against the side of the shot4 ,electrify the shot1 and the ball will be repelled to the distance of four or five inches1 more or less1 according to the quantity of electricity4 ,when in this state1 if you present to the shot the point of a long1 slender shaft-bodkin1 at six or eight inches distance1 the repellency is instantly destroyed1 and the cork flies to the shot4 ,a blunt body must be brought within an inch1 and draw a spark1 to produce the same effect4 ,to prove that the electrical fire is ,,drawn ,,off by the point1 if you take the blade of the bodkin out of the wooden handle and fix it in a stick of sealing-wax1 and then present it at the distance aforesaid1 or if you bring it very near1 no such effect follows2 but sliding one finger along the wax till you touch the blade1 and the ball flies to the shot immediately4 ,if you present the point in the dark you will see1 sometimes at a foot distance1 and more1 a light gather upon it like that of a fire-fly or glow-worm2 the less sharp the point1 the nearer you must bring it to observe the light2 and at whatever distance you see the light1 you may draw off the electrical fire and destroy the repellency4 ,if a cork ball so suspended be repelled by the tube1 and a point be presented quick to it1 though at a considerable distance1 'tis surprising to see how suddenly it flies back to the tube4 ,points of wood will do as well as those of iron1 provided the wood is not dry2 for perfectly dry wood will no more conduct electricity than sealing-wax4 ,to show that points will ,,throw ,,off as well as ,,draw ,,off the electrical fire1 lay a long1 sharp needle upon the shot1 and you cannot electrify the shot so as to make it repel the cork ball4 ,or fix a needle to the end of a suspended gun-barrel or iron rod1 so as to point beyond it like a little bayonet1 and while it remains there1 the gun-barrel or rod cannot1 by applying the tube to the other end1 be electrified so as to give a spark1 the fire continually running out silently at the point4 ,in the dark you may see it make the same appearance as it does in the case before mentioned47#c7 ,von ,guericke1 ,hauksbee1 and ,gray had noticed that pointed bodies attracted electricity in a peculiar manner1 but this demonstration of the drawing off of electrical fire was original with ,franklin4 ,original also was the theory that he now suggested1 which had at least the merit of being thinkable even by non-philosophical minds4 ,it assumes that electricity is like a fluid1 that will flow along conductors and accumulate in proper receptacles1 very much as ordinary fluids do4 ,this conception is probably entirely incorrect1 but nevertheless it is likely to remain a popular one1 at least outside of scientific circles1 or until something equally tangible is substituted4 ,,franklin',s ,,theory ,,of ,,electricity ,according to ,franklin's theory1 electricity exists in all bodies as a common stock1 and tends to seek and remain in a state of equilibrium1 just as fluids naturally tend to seek a level4 ,but it may1 nevertheless1 be raised or lowered1 and this equilibrium be thus disturbed4 ,if a body has more electricity than its normal amount it is said to be ,,positively electrified2 but if it has less1 it is ,,negatively electrified4 ,an over-electrified or plus body tends to give its surplus stock to a body containing the normal amount2 while the minus or under-electrified body will draw electricity from one containing the normal amount4 ,working along lines suggested by this theory1 ,franklin attempted to show that electricity is not created by friction1 but simply collected from its diversified state1 the rubbed glass globe attracting a certain quantity of electrical fire1 but ever ready to give it up to any body that has less4 ,he explained the charged ,leyden jar by showing that the inner coating of tin-foil received more than the ordinary quantity of electricity1 and in consequence is ,,positively electrified1 while the outer coating1 having the ordinary quantity of electricity diminished1 is electrified ,,negatively4 ,these studies of the ,leyden jar1 and the studies of pieces of glass coated with sheet metal1 led ,franklin to invent his battery1 constructed of eleven large glass plates coated with sheets of lead4 ,with this machine1 after overcoming some defects1 he was able to produce electrical manifestations of great force--a force that knew no bounds1 as he declared 7except in the matter of expense and of labor71 and which could be made to exceed the greatest know effects of common lightning4 ,this reference to lightning would seem to show ,franklin's belief1 even at that time1 that lightning is electricity4 ,many eminent observers1 such as ,hauksbee1 ,wall1 ,gray1 and ,nollet1 had noticed the resemblance between electric sparks and lightning1 but none of these had more than surmised that the two might be identical4 ,in #agdf1 the surgeon1 ,john ,freke1 also asserted his belief in this identity4 ,winkler1 shortly after this time1 expressed the same belief1 and1 assuming that they were the same1 declared that there is no proof that they are of different natures2 and still he did not prove that they were the same nature4 ,,franklin ,,invents ,,the ,,lightning-,,rod ,even before ,franklin proved conclusively the nature of lightning1 his experiments in drawing off the electric charge with points led to some practical suggestions which resulted in the invention of the lightning-rod4 ,in the letter of ,july1 #agej1 which he wrote on the subject1 he gave careful instructions as to the way in which these rods might be constructed4 ,in part ,franklin wrote3 ,may not the knowledge of this power of points be of use to mankind in preserving houses1 churches1 ships1 etc41 from the stroke of lightning by directing us to fix on the highest parts of the edifices upright rods of iron made sharp as a needle1 and gilt to prevent rusting1 and from the foot of these rods a wire down the outside of the building into the grounds1 or down round one of the shrouds of a ship and down her side till it reaches the water8 ,would not these pointed rods probably draw the electrical fire silently out of a cloud before it came nigh enough to strike1 and thereby secure us from that most sudden and terrible mischief8 ,to determine this question1 whether the clouds that contain the lightning are electrified or not1 ,i propose an experiment to be tried where it may be done conveniently4 ,on the top of some high tower or steeple1 place a kind of sentry-box1 big enough to contain a man and an electrical stand4 ,from the middle of the stand let an iron rod rise and pass1 bending out of the door1 and then upright twenty or thirty feet1 pointed very sharp at the end4 ,if the electrical stand be kept clean and dry1 a man standing on it when such clouds are passing low might be electrified and afford sparks1 the rod drawing fire to him from a cloud4 ,if any danger to the man be apprehended 7though ,i think there would be none71 let him stand on the floor of his box and now and then bring near to the rod the loop of a wire that has one end fastened to the leads1 he holding it by a wax handle2 so the sparks1 if the rod is electrified1 will strike from the rod to the wire and not effect him47#d7 ,not satisfied with all the evidence that he had collected pointing to the identity of lightning and electricity1 he adds one more striking and very suggestive piece of evidence4 ,lightning was known sometimes to strike persons blind without killing them4 ,in experimenting on pigeons and pullets with his electrical machine1 ,franklin found that a fowl1 when not killed outright1 was sometimes rendered blind4 ,the report of these experiments were incorporated in this famous letter of the ,philadelphia philosopher4 ,the attitude of the ,royal ,society towards this clearly stated letter1 with its useful suggestions1 must always remain as a blot on the record of this usually very receptive and liberal-minded body4 ,far from publishing it or receiving it at all1 they derided the whole matter as too visionary for discussion by the society4 ,how was it possible that any great scientific discovery could be made by a self-educated colonial newspaper editor1 who knew nothing of ,european science except by hearsay1 when all the great scientific minds of ,europe had failed to make the discovery8 ,how indeed6 ,and yet it would seem that if any of the influential members of the learned society had taken the trouble to read over ,franklin's clearly stated letter1 they could hardly have failed to see that his suggestions were worthy of consideration4 ,but at all events1 whether they did or did not matters little4 ,the fact remains that they refused to consider the paper seriously at the time2 and later on1 when its true value became known1 were obliged to acknowledge their error by a tardy report on the already well-known document4 ,but if ,english scientists were cold in their reception of ,franklin's theory and suggestions1 the ,french scientists were not4 ,buffon1 perceiving at once the importance of some of ,franklin's experiments1 took steps to have the famous letter translated into ,french1 and soon not only the savants1 but members of the court and the king himself were intensely interested4 ,two scientists1 ,de ,lor and ,d',alibard1 undertook to test the truth of ,franklin's suggestions as to pointed rods drawing off lightning4 ,in a garden near ,paris1 the latter erected a pointed iron rod fifty feet high and an inch in diameter4 ,as no thunder-clouds appeared for several days1 a guard was stationed1 armed with an insulated brass wire1 who was directed to test the iron rods with it in case a storm came on during ,d',alibard's absence4 ,the storm did come on1 and the guard1 not waiting for his employer's arrival1 seized the wire and touched the rod4 ,instantly there was a report4 ,sparks flew and the guard received such a shock that he thought his time had come4 ,believing from his outcry that he was mortally hurt1 his friends rushed for a spiritual adviser1 who came running through rain and hail to administer the last rites2 but when he found the guard still alive and uninjured1 he turned his visit to account by testing the rod himself several times1 and later writing a report of his experiments to ,m4 d',alibard4 ,this scientist at once reported the affair to the ,french ,academy1 remarking that ,franklin's idea was no longer a conjecture1 but a reality4 ,,franklin ,,proves ,,that ,,lightning ,,is ,,electricity ,europe1 hitherto somewhat sceptical of ,franklin's views1 was by this time convinced of the identity of lightning and electricity4 ,it was now ,franklin's turn to be sceptical4 ,to him the fact that a rod1 one hundred feet high1 became electrified during a storm did not necessarily prove that the storm-clouds were electrified4 ,a rod of that length was not really projected into the cloud1 for even a very low thunder-cloud was more than a hundred feet above the ground4 ,irrefutable proof could only be had1 as he saw it1 by extracting the lightning with something actually sent up into the storm-cloud2 and to accomplish this ,franklin made his silk kite1 with which he finally demonstrated to his own and the world's satisfaction that his theory was correct4 ,taking his kite out into an open common on the approach of a thunder-storm1 he flew it well up into the threatening clouds1 and then1 touching1 the suspended key with his knuckle1 received the electric spark2 and a little later he charged a ,leyden jar from the electricity drawn from the clouds with his kite4 ,in a brief but direct letter1 he sent an account of his kite and his experiment to ,england3 ,make a small cross of two light strips of cedar1 he wrote1 the arms so long as to reach to the four corners of a large1 thin1 silk handkerchief when extended2 tie the corners of the handkerchief to the extremities of the cross so you have the body of a kite2 which being properly accommodated with a tail1 loop1 and string1 will rise in the air like those made of paper2 but this being of silk is fitter to bear the wind and wet of a thunder-gust without tearing4 ,to the top of the upright stick of the cross is to be fixed a very sharp-pointed wire1 rising a foot or more above the wood4 ,to the end of the twine1 next the hand1 is to be tied a silk ribbon2 where the silk and twine join a key may be fastened4 ,this kite is to be raised when a thunder-gust appears to be coming on1 and the person who holds the string must stand within a door or window or under some cover1 so that the silk ribbon may not be wet2 and care must be taken that the twine does not touch the frame of the door or window4 ,as soon as any of the thunder-clouds come over the kite1 the pointed wire will draw the electric fire from them1 and the kite1 with all the twine1 will be electrified and the loose filaments will stand out everywhere and be attracted by the approaching finger1 and when the rain has wet the kite and twine so that it can conduct the electric fire freely1 you will find it stream out plentifully from the key on the approach of your knuckle1 and with this key the phial may be charged2 and from electric fire thus obtained spirits may be kindled and all other electric experiments performed which are usually done by the help of a rubbed glass globe or tube1 and thereby the sameness of the electric matter with that of lightning completely demonstrated47#e7 ,in experimenting with lightning and ,franklin's pointed rods in ,europe1 several scientists received severe shocks1 in one case with a fatal result4 ,professor ,richman1 of ,st4 ,petersburg1 while experimenting during a thunder-storm1 with an iron rod which he had erected on his house1 received a shock that killed him instantly4 ,about #agcc1 as we have seen1 ,dufay had demonstrated that there were two apparently different kinds of electricity2 one called ,,vitreous because produced by rubbing glass1 and the other ,,resinous because produced by rubbed resinous bodies4 ,dufay supposed that these two apparently different electricities could only be produced by their respective substances2 but twenty years later1 ,john ,canton 7#agae-aggb71 an ,englishman1 demonstrated that under certain conditions both might be produced by rubbing the same substance4 ,canton's experiment1 made upon a glass tube with a roughened surface1 proved that if the surface of the tube were rubbed with oiled silk1 vitreous or positive electricity was produced1 but if rubbed with flannel1 resinous electricity was produced4 ,he discovered still further that both kinds could be excited on the same tube simultaneously with a single rubber4 ,to demonstrate this he used a tube1 one-half of which had a roughened the other a glazed surface4 ,with a single stroke of the rubber he was able to excite both kinds of electricity on this tube4 ,he found also that certain substances1 such as glass and amber1 were electrified positively when taken out of mercury1 and this led to his important discovery that an amalgam of mercury and tin1 when used on the surface of the rubber1 was very effective in exciting glass4 ,,xv4 ,,natural ,,history ,,to ,,the ,,time ,,of ,,linnaeus ,modern systematic botany and zoology are usually held to have their beginnings with ,linnaeus4 ,but there were certain precursors of the famous ,swedish naturalist1 some of them antedating him by more than a century1 whose work must not be altogether ignored--such men as ,konrad ,gesner 7#aeaf-aefe71 ,andreas ,caesalpinus 7#aegi-afjc71 ,francisco ,redi 7#afah-afgf71 ,giovanni ,alfonso ,borelli 7#afjh-afgi71 ,john ,ray 7#afbh-agje71 ,robert ,hooke 7#afce-agjc71 ,john ,swammerdam 7#afcg-afhj71 ,marcello ,malpighi 7#afbh-afid71 ,nehemiah ,grew 7#afbh-agaa71 ,joseph ,tournefort 7#afef-agjh71 ,rudolf ,jacob ,camerarius 7#affe-agba71 and ,stephen ,hales 7#afgg-agfa74 ,the last named of these was1 to be sure1 a contemporary of ,linnaeus himself1 but ,gesner and ,caesalpinus belong1 it will be observed1 to so remote an epoch as that of ,copernicus4 ,reference has been made in an earlier chapter to the microscopic investigations of ,marcello ,malpighi1 who1 as there related1 was the first observer who actually saw blood corpuscles pass through the capillaries4 ,another feat of this earliest of great microscopists was to dissect muscular tissue1 and thus become the father of microscopic anatomy4 ,but ,malpighi did not confine his observations to animal tissues4 ,he dissected plants as well1 and he is almost as fully entitled to be called the father of vegetable anatomy1 though here his honors are shared by the ,englishman ,grew4 ,in #afha1 while ,malpighi's work1 ,anatomia plantarum1 was on its way to the ,royal ,society for publication1 ,grew's ,anatomy of ,vegetables was in the hands of the publishers1 making its appearance a few months earlier than the work of the great ,italian4 ,grew's book was epoch-marking in pointing out the sex-differences in plants4 ,robert ,hooke developed the microscope1 and took the first steps towards studying vegetable anatomy1 publishing in #affg1 among other results1 the discovery of the cellular structure of cork4 ,hooke applied the name cell for the first time in this connection4 ,these discoveries of ,hooke1 ,malpighi1 and ,grew1 and the discovery of the circulation of the blood by ,william ,harvey shortly before1 had called attention to the similarity of animal and vegetable structures4 ,hales made a series of investigations upon animals to determine the force of the blood pressure2 and similarly he made numerous statical experiments to determine the pressure of the flow of sap in vegetables4 ,his ,vegetable ,statics1 published in #agbg1 was the first important work on the subject of vegetable physiology1 and for this reason ,hales has been called the father of this branch of science4 ,in botany1 as well as in zoology1 the classifications of ,linnaeus of course supplanted all preceding classifications1 for the obvious reason that they were much more satisfactory2 but his work was a culmination of many similar and more or less satisfactory attempts of his predecessors4 ,about the year #afgj ,dr4 ,robert ,morison 7#afbj-afhc71 of ,aberdeen1 published a classification of plants1 his system taking into account the woody or herbaceous structure1 as well as the flowers and fruit4 ,this classification was supplanted twelve years later by the classification of ,ray1 who arranged all known vegetables into thirty-three classes1 the basis of this classification being the fruit4 ,a few years later ,rivinus1 a professor of botany in the ,university of ,leipzig1 made still another classification1 determining the distinguishing character chiefly from the flower1 and ,camerarius and ,tournefort also made elaborate classifications4 ,on the ,continent ,tournefort's classification was the most popular until the time of ,linnaeus1 his systematic arrangement including about eight thousand species of plants1 arranged chiefly according to the form of the corolla4 ,most of these early workers gave attention to both vegetable and animal kingdoms4 ,they were called naturalists1 and the field of their investigations was spoken of as natural history4 ,the specialization of knowledge had not reached that later stage in which botanist1 zoologist1 and physiologist felt their labors to be sharply divided4 ,such a division was becoming more and more necessary as the field of knowledge extended2 but it did not become imperative until long after the time of ,linnaeus4 ,that naturalist himself1 as we shall see1 was equally distinguished as botanist and as zoologist4 ,his great task of organizing knowledge was applied to the entire range of living things4 ,carolus ,linnaeus was born in the town of ,rashult1 in ,sweden1 on ,may #ac1 #agjg4 ,as a child he showed great aptitude in learning botanical names1 and remembering facts about various plants as told him by his father4 ,his eagerness for knowledge did not extend to the ordinary primary studies1 however1 and1 aside from the single exception of the study of physiology1 he proved himself an indifferent pupil4 ,his backwardness was a sore trial to his father1 who was desirous that his son should enter the ministry2 but as the young ,linnaeus showed no liking for that calling1 and as he had acquitted himself well in his study of physiology1 his father at last decided to allow him to take up the study of medicine4 ,here at last was a field more to the liking of the boy1 who soon vied with the best of his fellow-students for first honors4 ,meanwhile he kept steadily at work in his study of natural history1 acquiring considerable knowledge of ornithology1 entomology1 and botany1 and adding continually to his collection of botanical specimens4 ,in #agbi his botanical knowledge was brought to the attention of ,olaf ,rudbeck1 professor of botany in the ,university of ,upsala1 by a short paper on the sexes of plants which ,linnaeus had prepared4 ,rudbeck was so impressed by some of the ideas expressed in this paper that he appointed the author as his assistant the following year4 ,this was the beginning of ,linnaes's career as a botanist4 ,the academic gardens were thus thrown open to him1 and he found time at his disposal for pursuing his studies between lecture hours and in the evenings4 ,it was at this time that he began the preparation of his work the ,systema naturae1 the first of his great works1 containing a comprehensive sketch of the whole field of natural history4 ,when this work was published1 the clearness of the views expressed and the systematic arrangement of the various classifications excited great astonishment and admiration1 and placed ,linaeus at once in the foremost rank of naturalists4 ,this work was followed shortly by other publications1 mostly on botanical subjects1 in which1 among other things1 he worked out in detail his famous system4 ,this system is founded on the sexes of plants1 and is usually referred to as an artificial method of classification because it takes into account only a few marked characters of plants1 without uniting them by more general natural affinities4 ,at the present time it is considered only as a stepping-stone to the natural system2 but at the time of its promulgation it was epoch-marking in its directness and simplicity1 and therefore superiority1 over any existing systems4 ,one of the great reforms effected by ,linnaeus was in the matter of scientific terminology4 ,technical terms are absolutely necessary to scientific progress1 and particularly so in botany1 where obscurity1 ambiguity1 or prolixity in descriptions are fatally misleading4 ,linnaeus's work contains something like a thousand terms1 whose meanings and uses are carefully explained4 ,such an array seems at first glance arbitrary and unnecessary1 but the fact that it has remained in use for something like two centuries is indisputable evidence of its practicality4 ,the descriptive language of botany1 as employed by ,linnaeus1 still stands as a model for all other subjects4 ,closely allied to botanical terminology is the subject of botanical nomenclature4 ,the old method of using a number of ,latin words to describe each different plant is obviously too cumbersome1 and several attempts had been made prior to the time of ,linnaeus to substitute simpler methods4 ,linnaeus himself made several unsatisfactory attempts before he finally hit upon his system of trivial names1 which was developed in his ,species plantarum1 and which1 with some1 minor alterations1 remains in use to this day4 ,the essence of the system is the introduction of binomial nomenclature--that is to say1 the use of two names and no more to designate any single species of animal or plant4 ,the principle is quite the same as that according to which in modern society a man has two names1 let us say1 ,john ,doe1 the one designating his family1 the other being individual4 ,similarly each species of animal or plant1 according to the ,linnaeean system1 received a specific or trivial name2 while various species1 associated according to their seeming natural affinities into groups called genera1 were given the same generic name4 ,thus the generic name given all members of the cat tribe being ,felis1 the name ,felis leo designates the lion2 ,felis pardus1 the leopard2 ,felis domestica1 the house cat1 and so on4 ,this seems perfectly simple and natural now1 but to understand how great a reform the binomial nomenclature introduced we have but to consult the work of ,linnaeus's predecessors4 ,a single illustration will suffice4 ,there is1 for example1 a kind of grass1 in referring to which the naturalist anterior to ,linnaeus1 if he would be absolutely unambiguous1 was obliged to use the following descriptive formula3 ,gramen ,xerampelino1 ,miliacea1 praetenuis ramosaque sparsa panicula1 sive ,xerampelino congener1 arvense1 aestivum2 gramen minutissimo semine4 ,linnaeus gave to this plant the name ,poa bulbosa--a name that sufficed1 according to the new system1 to distinguish this from every other species of vegetable4 ,it does not require any special knowledge to appreciate the advantage of such a simplification4 ,while visiting ,paris in #agch ,linnaeus met and botanized with the two botanists whose natural method of classification was later to supplant his own artificial system4 ,these were ,bernard and ,antoine ,laurent de ,jussieu4 ,the efforts of these two scientists were directed towards obtaining a system which should aim at clearness1 simplicity1 and precision1 and at the same time be governed by the natural affinities of plants4 ,the natural system1 as finally propounded by them1 is based on the number of cotyledons1 the structure of the seed1 and the insertion of the stamens4 ,succeeding writers on botany have made various modifications of this system1 but nevertheless it stands as the foundation-stone of modern botanical classification4 ,,appendix ,,reference ,,list ,,chapter ,i ,,science ,,in ,,the ,,dark ,,age 7#a7 7p4 #d74 ,james ,harvey ,robinson1 ,an ,introduction to the ,history of ,western ,europe1 ,new ,york1 #ahih1 p4 #ccj4 7#b7 7p4 #f74 ,henry ,smith ,williams1 ,a ,prefatory ,characterization of ,the ,history of ,italy1 in vol4 ,,ix4 of ,the ,historians' ,history of the ,world1 #be vols41 ,london and ,new ,york1 #aijd4 ,,chapter ,,iii ,,mediaeval ,,science ,,in ,,the ,,west 7#a7 7p4 #dg74 ,etigene ,muntz1 ,leonardo do ,vinci1 ,artist1 ,thinker1 and ,man of ,science1 #b vols41 ,new ,york1 #ahib4 ,vol4 ,,ii41 p4 #gc4 ,,chapter ,,iv ,,the ,,new ,,cosmology--,,copernicus ,,to ,,kepler ,,and ,,galileo 7#a7 7p4 #fb74 ,copernicus1 uber die ,kreisbewegungen der ,welfkorper1 trans4 from ,dannemann's ,geschichle du ,naturwissenschaften1 #b vols41 ,leipzig1 #ahif4 7#b7 7p4 #ij74 ,galileo1 ,dialogo dei due ,massimi ,systemi del ,mondo1 trans4 from ,dannemann1 op4 cit4 ,,chapter ,v ,,galileo ,,and ,,the ,,new ,,physics 7#a7 7p4 #aja74 ,rothmann1 ,history of ,astronomy 7in the ,library of ,useful ,knowledge71 ,london1 #ahcd4 7#b7 7p4 #ajb74 ,william ,whewell1 ,history of the ,inductive ,sciences1 #c ,vols1 ,london1 #ahdg-,vol4 ,,ii41 p4 #dh4 7#c7 7p4 #aaa74 ,the ,lives of ,eminent ,persons1 by ,biot1 ,jardine1 ,bethune1 etc41 ,london1 #ahcc4 7#d7 7p4 #aac74 ,william ,gilbert1 ,de ,magnete1 translated by ,p4 ,fleury ,motteley1 ,london1 #ahic4 ,in the biographical memoir1 p4 xvi4 7#e7 7p4 #aad74 ,gilbert1 op4 cit41 p4 x#avii4 7#f7 7p4 #aad74 ,gilbert1 op4 cit41 p4 #bd4 ,,chapter ,,vi ,,two ,,pseudo-,,sciences--,,alchemy ,,and ,,astrology 7#a7 7p4 #abe74 ,exodus xxxii1 #bj4 7#b7 7p4 #abf74 ,charles ,mackay1 ,popular ,delusions1 #c vols41 ,london1 #ahej4 ,vol4 ,,ii41 p4 #bhj4 7#c7 7p4 #adj74 ,mackay1 op4 cit41 ,vol4 #aa41 p4 #bhi4 7#d7 7,p4 #ade74 ,john ,b4 ,schmalz1 ,astrology ,vindicated1 ,new ,york1 #ahih4 7#e7 7p4 #adf74 ,william ,lilly1 ,the ,starry ,messenger1 ,london1 #afde1 p4 #fc4 7#f7 7p4 #adi74 ,lilly1 op4 cit41 p4 #gj4 7#g7 7p4 #aeb74 ,george ,wharton1 ,an ,astrological judgement upon ,his ,majesty's ,present ,march begun from ,oxford1 ,may #g1 #afde1 pp4 #g-aj4 7#h7 7p4 #aed74 ,c4 ,w4 ,roback1 ,the ,mysteries of ,astrology1 ,boston1 #ahed1 p4 #bi4 ,,chapter ,,vii ,,from ,,paracelsus ,,to ,,harvey 7#a7 7p4 #aei74 ,a4 ,e4 ,waite1 ,the ,hermetic and ,alchemical ,writings of ,paracelsus1 #b vols41 ,london1 #ahid4 ,vol4 ,i41 p4 #ba4 7#b7 7p4 #afg74 ,e4 ,t4 ,withington1 ,medical ,history from the ,earliest ,times1 ,london1 #ahid1 p4 #bgh4 7#c7 7p4 #agc74 ,john ,dalton1 ,doctrines of the ,circulation1 ,philadelphia1 #ahhd1 p4 #agi4 7#d7 7p4 #agd74 ,william ,harvey1 ,de ,motu ,cordis et ,sanguinis1 ,london1 #ahjc1 chap4 ,x4 7#e7 7p4 #agh74 ,the ,works of ,william ,harvey1 translated by ,robert ,willis1 ,london1 #ahdg1 p4 #ef4 ,,chapter ,,viii ,,medicine ,,in ,,the ,,sixteenth ,,and ,,seventeenth ,,centuries 7#a7 7p4 #ahi74 ,hermann ,baas1 ,history of ,medicine1 translated by ,h4 ,e4 ,henderson1 ,new ,york1 #ahid1 p4 #ejd4 7#b7 7p4 #ahi74 ,e4 ,t4 ,withington1 ,medical ,history from the ,earliest ,times1 ,london1 #ahid1 p4 #cbj4 ,,chapter ,,ix ,,philosopher-,,scientists ,,and ,,new ,,institutions ,,of ,,learning 7#a7 7p4 #aic74 ,george ,l4 ,craik1 ,bacon and ,his ,writings and ,philosophy1 #b vols41 ,london1 #ahdf4 ,vol4 ,,ii41 p4 #aba4 7#b7 7p4 #aic74 ,from ,huxley's address ,on ,descartes's ,discourse ,touching the ,method of ,using ,one's ,reason ,rightly and of ,seeking ,scientific ,truth4 7#c7 7p4 #aie74 ,rene ,descartes1 ,traite de l',homme 7,cousins's edition4 in ii vols471 ,paris1 #ahbd4 ,vol1 ,,vi41 p4 #cdg4 ,,chapter ,x ,,the ,,successors ,,of ,,galileo ,,in ,,physical ,,science 7#a7 7p4 #bje74 ,see ,the ,phlogiston ,theory1 ,vol1 ,,iv4 7#b7 7p4 #bje74 ,robert ,boyle1 ,philosophical ,works1 #c vols41 ,london1 #agch4 ,vol4 ,,iii41 p4 #da4 7#c7 7p4 #bjf74 ,ibid41 ,vol4 ,,iii41 p4 #dg4 7#d7 7p4 #bjf74 ,ibid41 ,vol4 ,,ii41 p4 #ib4 7#e7 7p4 #bjg74 ,ibid41 ,vol4 ,,ii41 p4 #b4 7#f7 7p4 #bji74 ,ibid41 ,vol4 ,i41 p4 #h4 7#g7 7p4 #bji74 ,ibid41 vol4 ,,iii41 p4 #ejh4 7#h7 7p4 #baj74 ,ibid41 ,vol4 ,,iii41 p4 #cfa4 7#i7 7p4 #bac74 ,otto von ,guericke1 in the ,philosophical ,transactions of the ,royal ,society of ,london1 ,no4 #hh1 for #afgb1 p4 #eajc4 7#aj7 7p4 #bbb74 ,von ,guericke1 ,phil4 ,trans4 for #affi1 ,vol ,i41 pp4 #agc1 #agd4 ,,chapter ,,xi ,,newton ,,and ,,the ,,composition ,,of ,,light 7#a7 7p4 #bcc74 ,phil4 ,trans4 of ,royal ,soc4 of ,london1 ,no4 #hj1 #afgb1 pp4 #cjgf-cjgi4 7#b7 7p #bcd74 ,ibid41 pp4 #cjhd1 #cjhe4 7#c7 7p4 #bce74 ,voltaire1 ,letters ,concerning the ,english ,nation1 ,london1 #ahaa4 ,,chapter ,,xii ,,newton ,,and ,,the ,,law ,,of ,,gravitation 7#a7 7p4 #bdb74 ,sir ,isaac ,newton1 ,principia1 translated by ,andrew ,motte1 ,new ,york1 #ahdh1 pp4 #cia1 #cib4 7#b7 7p4 #bej74 ,newton op4 cit41 pp4 #ejf1 #ejg4 ,,chapter ,,xiv ,,progress ,,in ,,electricity ,,from ,,gilbert ,,and ,,von ,,guericke ,,to ,,franklin 7#a7 7p4 #bgd74 ,a letter from ,m4 ,dufay1 ,f4,r4,s4 and of the ,royal ,academy of ,sciences at ,paris1 etc41 in the ,phil4 ,trans4 of the ,royal ,soc41 vol4 ,,xxxviii41 pp4 #beh-bfe4 7#b7 7p4 #bhb74 ,dean von ,kleist1 in the ,danzick ,memoirs1 ,vol4 ,i41 p4 #djg4 ,from ,joseph ,priestley's ,history of ,electricity1 ,london1 #agge1 pp4 #hc1 #hd4 7#c7 7p4 #bhh74 ,benjamin ,franklin1 ,new ,experiments and ,observations on ,electricity1 ,london1 #agfj1 pp4 #ajg1 #ajh4 7#d7 7p4 #bia74 ,franklin1 op4 cit41 pp4 #fb1 #fc4 7#e7 7p4 #bie74 ,franklin1 op4 cit41 pp4 #ajg1 #ajh4 7,for notes and bibliography to vol4 ,,ii4 see vol4 ,v47