,,the ,,telephone ,by ,professor ,a4 ,e4 ,dolbear ,,the ,,telephone ,with directions for making a ,speaking ,telephone ,illustrated #ej cents ,,the ,,art ,,of ,,projecting ,a ,manual of ,experimentation in ,physics1 ,chemistry1 and ,natural ,history1 with the ,porte ,lumiere and ,magic ,lantern ,new ,edition ,revised ,illustrated #b4jj ,,matter1 ,,ether1 ,,and ,,motion ,the ,factors and ,relations of ,physical ,science ,illustrated #a4ge ,lee and ,shepard ,publishers ,boston ,,the ,,telephone3 ,,an ,,account ,,of ,,the ,phenomena of ,electricity1 ,magnetism1 and ,sound1 ,,as ,,involved ,,in ,,its ,,action4 ,,with ,,directions ,,for ,,making ,a ,,speaking ,,telephone4 ,,by ,,prof4 ,a4 ,e4 ,,dolbear1 ,,tufts ,,college1 ,,author ,,of ,,the ,,art ,,of ,,projecting1 ,,etc4 ,,boston3 ,,lee ,,shepard1 ,,publishers4 ,,copyright1 #ahgg1 ,,by ,a4 ,e4 ,,dolbear4 ,,preface4 ,,the popular exhibitions of the speaking-telephone during the past six months1 together with numerous newspaper articles1 have created a widespread interest in the instrument2 and it has been thought that a small book explanatory of its action would meet a public want4 ,it has seemed to be necessary to call attention to the various phenomena and inter-actions of the forces involved2 and hence the author has attempted to make plain and intelligible the phenomena of electricity1 magnetism1 and sound4 ,cuts have been inserted where they could be useful in making the mechanical conditions more intelligible2 and a table of tone-composition has been devised1 which shows at a glance the constituents of the sounds of various musical instruments4 ,as the speaking-telephone1 in which magneto-electric currents were utilized for the transmission of speech and other kinds of sounds1 was invented by me1 ,i have described at some length my first instrument1 and have also given explicit directions for making a speaking-telephone which ,i know1 by trial1 to be as efficient as any hitherto made2 but nothing in the book is to be taken as a dedication of the invention to the public1 as steps have already been taken to secure letters-patent according to the laws of the ,united ,states4 ,a4 ,e4 ,,dolbear4 ,,college ,,hill1 ,,mass4 ,,the ,,telephone4 ,,electricity4 ,,some of the phenomena of electricity are manifested upon so large a scale as to be thrust upon the attention of everybody4 ,thus lightning1 which accompanies so many showers in warm weather in almost every latitude1 has always excited in some individuals a superstitious awe1 as being an exhibition of supernatural agency2 and probably every one feels more or less dread of it during a thunder-shower1 and this for the reason that it affects so many of the senses at the same time4 ,the flash may be blinding to the eyes if near to us2 the thunder may be deafening to the ears1 and so powerful as to shake the foundations of the hills1 and make the ground upon which we stand to sensibly move3 these with the remembered destructive effects that have been witnessed1 of buildings demolished and large trees torn to splinters in an instant1 are quite sufficient to raise a feeling of dread in the strongest mind4 ,in the polar regions1 both north and south1 where thunder-storms are less frequent1 the atmospheric electricity assumes the form called the aurora borealis1 or the aurora australis1 according as it is seen north or south of the equator4 ,more than two thousand years ago it was noticed by the ,greeks that a certain kind of a mineral which was thrown up on the shores of the ,mediterranean ,sea1 when rubbed would attract light bodies1 such as shreds of silk or linen and bits of paper4 ,to this substance they gave the name of ,elektron1 and the property developed thus by friction was afterwards called electricity4 ,in #afjj ,dr4 ,gilbert1 physician to ,queen ,elizabeth1 published a book in which he described numerous experiments demonstrating that electricity could be developed by friction upon a great variety of substances1 such as stones1 gems1 and resins4 ,the first machine for developing electricity was made by ,otto von ,guericke of ,magdeburg1 about #afhj4 ,his machine consisted of a ball of sulphur about six inches in diameter1 which could be rotated4 ,if the dry hand were held against the sulphur while it was being turned in a dark room1 the sphere appeared to emit light3 it also gave out a peculiar hissing or crackling sound4 ,newton experimented a little with electricity1 and noticed that the rubber was an important element in developing electricity4 ,he does not seem to have given to the subject the same attention that he gave to some other departments of science4 ,had he done so1 it is probable that he would have advanced the study a hundred years2 that is to say1 he would probably have left it at the place where it actually was in #agij4 ,so great were his abilities that in one lifetime he made greater additions to human knowledge than all the rest of mankind had made during the preceding thousand years4 ,in the month of ,june1 #ageb1 ,franklin made that memorable experiment which immortalized him4 ,he flew his kite to the thunder-cloud1 practically asking the question of the lightning whether or not it was identical with electricity4 ,the lightning came down the wetted twine to his hand1 and proclaimed its identity4 ,for the next forty years the natural philosophers in both ,europe and ,america only rung the changes upon what was known4 ,they flew kites to the clouds2 they made and charged ,leyden jars1 and discharged them through wires and chains and circuits of clasped hands1 and studied the attractions and repulsions manifested by electrified bodies2 but they added nothing of importance in the way of experiments4 ,in #agia ,galvani1 a professor of anatomy at ,bologna1 announced a manifestation of electricity that was new and of a remarkable character1 having its origin in the muscles of animals1 and so was called animal electricity4 ,he had some frogs' legs prepared for eating2 by chance they were placed near an electrical machine with which ,galvani was experimenting1 so that a spark would occasionally pass to the legs1 when they would contract as often as a spark passed to them4 ,the motion was first observed by his wife1 who called his attention to the phenomenon2 and he very soon discovered that the thighs of a frog1 skinned and suspended1 made a very good electroscope4 ,while experimenting in this way he made another and more important discovery2 namely1 that1 when the muscles and nerves of the frog's leg were touched by pieces of two different metals1 the leg would contract as before4 ,alexander ,volta1 another ,italian professor1 who had invented the electrophorus1 and was possessed of great experimental skill1 now turned his attention to the experiment of ,galvani1 and very soon discovered that the origin of the electricity that moved the frogs' legs was not in the legs themselves1 but in the metals used4 ,the first form of the galvanic battery was the result of ,volta's investigations1 and was called the ,voltaic pile4 ,this pile consisted of alternate disks of zinc1 flannel1 and copper1 piled one on top of the other in constant succession in that order4 ,the flannel was moistened with salt and water1 or with diluted sulphuric acid4 ,when the first zinc was connected with the last copper by means of a wire1 a powerful current of electricity was obtained4 ,this form of battery is not in use at all now1 as much more efficient means are known for producing electricity2 but this in #ahjj1 when it was first made known in ,england1 was very startling1 and was one of those surprises which have been so frequent since then in the history of electricity4 ,surprising things were done by ,sir ,humphry ,davy1 with a large ,voltaic battery4 ,water was decomposed1 and the metals potassium and sodium were first separated from their compounds with oxygen4 ,bonaparte had offered a prize of sixty thousand francs to the person who by his experiments and discoveries should advance the knowledge of electricity and galvanism as much as ,franklin and ,volta did1 and of three thousand francs for the best experiments which should be made in each year on the galvanic fluid4 ,this latter prize was awarded to ,davy4 ,after ,davy's successes in #ahjf1 there was nothing of importance in an experimental way added to the knowledge of electricity1 until #ahbj1 when ,oersted of ,copenhagen announced that the conducting wire of a ,voltaic circuit acts upon a magnetic needle1 and that the needle tends to set itself at right angles to the wire4 ,this was a kind of action altogether unexpected4 ,this observation was of the utmost importance2 and at once the philosophers in ,europe and ,america set themselves to inquire into the new phenomenon4 ,the laws of the motion of the magnetic needle when acted upon by a current of electricity traversing a wire were successfully investigated by ,m4 ,ampere of the ,french ,academy4 ,he observed that whenever a wire through which a current of electricity was passing was held over and parallel with a magnetic needle which was free to move1 and therefore pointed to the north1 if the current was moving towards the north1 the north pole was deflected to the west2 if the current was moving towards the south1 the south pole of the magnet was deflected towards the west2 and that in all cases the magnet tended to set itself at right angles to the current2 also that this angular displacement depended upon the strength of the current4 ,thus originated the galvanometer1 an instrument that not only detects the existence of an electric current1 but enables us to determine its direction and its strength4 ,our present knowledge of electrical laws is due1 in a very large measure1 to observations made with this instrument4 ,of course it has been very much modified1 and made almost incredibly sensitive3 yet1 in all galvanometers1 the fundamental principle involved in their structure is that of the action of a current of electricity upon a magnet1 which was first noticed by ,oersted4 ,,magnets4 ,it is related by ,nicander that among the shepherds who tended their flocks upon the sides of ,mount ,ida was one named ,magnes1 who noticed1 that1 while taking his herds to pasture1 his shepherd's crook adhered to some of the rocks4 ,from this man's name some have supposed the name magnet to have been derived4 ,it is1 however1 generally believed to have received its name from the ancient city of ,magnesia in ,asia ,minor1 near which the loadstone or magnetic substance was found4 ,this rock1 which possesses the remarkable property of attracting and holding to itself small pieces of iron or steel1 is now known to be one of the ores of iron1 and is called magnetite by mineralogists4 ,the iron is chemically combined with oxygen1 and forms #gb4e per cent of its weight4 ,there is another ore of iron1 known as hematite1 which contains seventy per cent of iron2 but the difference of two and a half per cent of iron in the ore is enough to make the difference between a magnetically inert substance1 and one which may be able to lift a mass of iron equal to many times its own weight4 ,sir ,isaac ,newton is said to have worn in a finger-ring a small loadstone weighing three grains1 which would lift seven hundred and fifty grains1 which is equal to two hundred and fifty times its own weight4 ,the most powerful magnet now known is owned by ,m4 ,obelliane of ,paris4 ,it can lift forty times its own weight4 ,large pieces1 however1 do not support proportionally greater weights1 seldom more than one or two times their own weight4 ,there are in many places in the world immense beds of magnetic iron-ore4 ,such are to be found in the ,adirondack region in ,northern ,new ,york1 and in ,chester ,county1 ,pennsylvania4 ,the celebrated iron-mines of ,sweden consist of it1 and in ,lapland there are several large mountains of it4 ,it must not be inferred1 that1 because the mineral is called magnetite1 all specimens possess the property called magnetism4 ,the large masses seldom manifest any such force1 any more than ordinary pieces of iron or steel manifest it3 yet any of it will be attracted by a magnet in the same way as iron will be4 ,the most powerful native magnets are found in ,siberia1 and in the ,hartz1 a range of mountains in ,northern ,germany4 ,when a piece of this magnetically endowed ore is placed in a mass of iron-filings1 it will be seen that the filings adhere to it in greatest quantity upon two opposite ends or sides1 and these are named the poles of the magnet4 ,if the piece be suspended by a string so as to turn freely1 it will invariably come to rest with the same pole turned towards the north2 and this pole is therefore called the north pole of the magnet1 and the action is called the directive action4 ,this directive action was known to the ,chinese more than three thousand years ago4 ,in traversing those vast steppes of ,tartary they employed magnetic cars1 in which was the figure of a man1 whose movable1 outstretched arm always pointed to the south4 ,dr4 ,gilbert affirms that the compass was brought from ,china to ,italy in #abfj1 by a traveller named ,paulus ,venetus4 ,when a piece of hardened steel is rubbed upon a natural magnet1 it acquires the same directive property2 and1 as the steel could be easily shaped into a convenient form for use1 a steel needle has generally been used for the needle of a compass4 ,the directive power of the magnet has been and still is of incalculable value to all civilized nations4 ,ocean navigation would be impossible without it1 and territorial boundaries are fixed by means of it2 but there are other properties and relations of a magnet1 which have been discovered within the last fifty years1 which are destined to be as important to mankind as that of the compass has been4 ,in #ahbe ,william ,sturgeon of ,woolwich1 ,eng41 discovered that if a copper wire were wound around a piece of soft iron1 and a current of electricity sent through the wire1 the soft iron would become a magnet1 but would retain its magnetism no longer than while the current of electricity was passing through the coil4 ,the magnetism developed in this way was called electro-magnetism1 and the iron so wound was called an electro-magnet4 ,the first electro-magnet was made by winding bare wire upon the soft iron4 ,this method will not produce very strong magnets4 ,in #ahcj ,prof4 ,henry insulated the wire by covering it with silk1 and was the first to produce powerful magnets4 ,on a soft iron bar of fifty-nine pounds weight he used twenty-six coils of wire1 thirteen on each leg1 all joined to a common conductor by their opposite ends1 and having an aggregate length of seven hundred and twenty-eight feet4 ,this apparatus was found able to sustain a weight of twenty-five hundred pounds4 ,this electro-magnet is now owned by ,yale ,college4 ,the power of the electro-magnet is enormously greater than that of any permanent magnet4 ,a permanent magnet made by ,jamin of ,paris1 which is made up of many strips of thin steel bound together1 and weighing four pounds1 is able to support a weight of one hundred pounds2 but ,dr4 ,joule made an electro-magnet1 by arranging the coils to advantage1 that would support thirty-five hundred times its own weight1 or one hundred and forty times the proportionate load of ,sir ,isaac ,newton's ring magnet4 ,,the ,,galvanic ,,battery4 ,the original form of the galvanic battery as devised by ,volta1 and modified but little during thirty years1 consisted of a cell to contain a fluid1 which was usually dilute sulphuric acid1 in which two plates of different metals were immersed3 the metals used were generally plates of zinc and copper1 or zinc and silver4 ,such plates1 when first placed in the liquid1 will give a very good current of electricity2 but it will not last long4 ,the reason of this is easy to understand4 ,whenever a current of electricity is generated by chemical action of a liquid upon two different metals1 there is always some decomposition of the liquid1 and this decomposition takes place upon the plates themselves2 and the liberated gases adhere to the plates1 and prevent further contact with the acid2 at the same time1 the gases themselves act upon the plates1 and generate a current of electricity in the opposite direction4 ,this will of course interfere with the first current2 and very soon the battery is useless until the plates have been withdrawn from the liquid4 ,this physico-chemical process that takes place in such a battery is called the polarization of the plates4 ,illustration3 ,,fig4 #a4 ,the accompanying figure will help one to understand the actions going on in a battery cell of the kind mentioned4 ,let ,pt represent a plate of platinum1 and ,zn a plate of zinc1 both placed in a vessel containing hydrochloric acid1 which is also represented by the symbols ,h,cl4 ,as such molecules are extremely minute1 there will of course be an immense number of them between the plates4 ,the plates are now to be connected by a wire running between them through the air4 ,as soon as these conditions are fulfilled1 a hissing sound will be heard coming from the cell1 and bubbles of gas will be seen to rise from the platinum plate3 these bubbles prove upon analysis to be bubbles of hydrogen4 ,at the same time the zinc will begin to dissolve1 forming what proves by analysis to be the chloride of zinc2 and at the same time a current of electricity travels through the wire from the platinum to the zinc4 ,the quantity of electricity that is thus generated is strictly proportionate to the quantity of hydrogen liberated1 which is also proportionate to the weight of zinc dissolved2 and this1 in turn1 is proportionate to the surface of the metals exposed to the action of the acid4 ,now1 it happens under such circumstances as the above1 that the liberated hydrogen adheres very strongly to the platinum1 as there is nothing for it to unite with chemically2 and therefore the plate will very soon be visibly covered with bubbles1 which may be scraped off with a feather or a swab1 but only to have the same thing repeated4 ,this coating of bubbles will prevent the acid from touching the plate1 and so practically diminishes the surface of it2 but the quantity of electricity generated being proportionate to the surface exposed to the chemical action1 it will be understood at once how such polarization of the plates must soon bring the battery to a standstill4 ,in #ahcf ,prof4 ,j4 ,f4 ,daniell of ,london contrived a battery1 which has been called the ,daniell ,cell1 in which the metal 7copper7 that had the hydrogen liberated upon it was separated by a porous cell from the zinc4 ,the zinc was immersed in dilute sulphuric acid1 and the copper in an acid solution of blue vitriol 7copper sulphate74 ,the porous cup did not prevent the electricity from passing1 nor the decomposition from taking place2 but the hydrogen1 which in this case would have been liberated at the copper plate1 at once united with oxygen there1 which it got by decomposing the copper sulphate3 hence water was formed1 and copper was deposited upon the copper plate2 and1 being an excellent conductor1 the battery would keep up a strong action for a long time4 ,mr4 ,grove1 also of ,london1 in #ahci invented a battery which still goes by his name1 in which the hydrogen plate is of platinum immersed in strong nitric acid1 enclosed also in a porous earthen cell2 and this1 in turn1 is plunged into a vessel containing dilute sulphuric acid and the zinc4 ,in this case the liberated hydrogen immediately decomposes the nitric acid1 which readily parts with its oxygen2 water is the product1 as in the other case1 and the nitric acid loses strength4 ,strips of carbon have been substituted for the platinum1 and this is called the ,bunsen battery4 ,it is otherwise like the ,grove battery2 it gives a very powerful and constant current and it is by the use of one or the other of these batteries1 that most of the experiments in electricity are performed in institutions of learning1 and1 until lately1 most in use for telegraphic purposes4 ,,other ,,means ,,for ,,generating ,,electricity4 ,,thermo-,,electricity4 ,,if two strips of different metals1 such as silver and iron1 be soldered together at one end1 and the other ends be connected with a galvanometer1 on heating the soldered junction of the metals it will be found that a current of electricity traverses the circuit from the iron to the silver4 ,if other metals be used1 having the same size1 and the same degree of heat be applied1 the current of electricity thus generated will give a greater or a less deflection1 which will be constant for the metals employed4 ,the two metals generally employed are bismuth and antimony1 in bars about an inch long and an eighth of an inch square4 ,these are soldered together in series so as to present for faces the ends of the bars1 and these often number as many as fifty pairs4 ,such a series is called a thermo-pile4 ,this method of generating electricity was discovered by ,seebeck of ,berlin in #ahba1 but the thermo-pile so much in use now in heat investigations was invented by ,nobili in #ahce4 ,the strength of this current is not very great1 a single ,daniell cell being equal to nine pairs of the strongest combination yet discovered1 namely1 the artificial sulphuret of copper with ,german silver4 ,,magneto-,,electricity4 ,illustration3 ,,fig4 #b4 ,it has already been mentioned1 that ,oersted found that a magnet when free to turn tended to set itself at right angles to a wire in which a current of electricity was passing1 thus demonstrating some inter-action between electricity and magnetism2 but it remained for ,faraday to discover the converse fact1 namely1 that a magnet moving across a wire1 the ends of which were connected with a galvanometer or otherwise closed1 originated a current of electricity in the wire1 the direction of which depended upon the direction of the movement of the magnet4 ,if the wire was coiled into a hollow helix1 the magnet in moving through the helix moved across1 that is1 at right angles to all the turns of the helix2 and each complete turn added to the intensity of the current4 ,this will be understood by reference to the diagram1 ,fig4 #b4 ,let ,g be a galvanometer connected with the wires from a helix2 ,n ,s1 a permanent bar magnet4 ,if the magnet be thrust into the coil1 a current of electricity will traverse the helix1 wire1 and galvanometer1 and the needle will indicate its direction4 ,if the magnet be now withdrawn1 a current will move in the opposite direction through the whole circuit4 ,the electricity that is thus originated is said to be induced4 ,the quantity of electricity that can be induced thus is almost unlimited1 depending upon the size and strength of the magnet1 the size of the wire1 and the length of wire in the coil4 ,there are now many forms of machines for developing electricity from the motion of coils of wire in front of the poles of permanent magnets4 ,they are generally called magneto-electric machines4 ,the action involved in these machines is so important in its bearing upon telephony as to necessitate a fuller description of them4 ,,magnetic ,,induction4 ,illustration3 ,,fig4 #c4 ,let ,n ,s1 ,fig4 #c1 be a bar of hardened steel rendered permanently magnetic4 ,if now there be brought near to it a board-nail1 the latter will become a magnet through the inductive action of the first magnet4 ,this induced magnetism may be demonstrated by bringing a tack or other bit of iron to the end that is farthest from the permanent magnet2 the tack will adhere to the nail1 but will fall off when the nail is removed from the neighborhood of the magnet4 ,by testing the polarity of the nail1 it will be found that the end nearest the magnet will be a south pole if the magnet has its north pole towards it1 in all cases having a polarity opposite to that of the pole acting upon it4 ,the strength of this induced magnetism thus developed depends upon the distance apart of the magnet and the iron1 being at its maximum when the two touch4 ,but the tack itself is also made a magnet1 and will attract another tack1 and that one still another1 the number which can be thus supported being dependent upon the strength of the first or inducing magnet4 ,suppose now that we should wind a few feet of wire about the nail1 and fasten the two ends of the wire to an ordinary galvanometer1 and then make the nail to approach the permanent magnet4 ,the galvanometer needle would be seen to move as the nail approached2 and1 if the latter were allowed to touch the magnet1 the movement of the needle would suddenly be much hastened1 but would directly come to rest1 showing that1 so long as there is no motion of the nail towards or away from the magnet1 no electricity is moving in the wire1 although the nail is a strong magnet while it is in contact with the permanent magnet4 ,if the nail be now withdrawn1 the two phenomena happen as before3 that is to say1 as the nail recedes it loses its magnetism2 and the giving-up of its magnetism induces a current of electricity through the wire in the opposite direction to that it had when the nail approached4 ,the current of electricity in the opposite direction is indicated by the galvanometer needle1 which moves according to ,ampere's law mentioned on a preceding page4 ,it may be noted here that we have an effect quite analogous to that already mentioned on page #ba as the experiment of ,faraday4 ,in one case a permanent magnet is thrust into a coil of wire1 and in the other a piece of iron is made a magnet while enclosed in a coil4 ,in each case there is generated a current of electricity which lasts no longer than the mechanical motion of the parts lasts4 ,,magneto-,,electric ,,machines4 ,such transient currents are practically useless1 and several devices have been invented to make the flow continuous4 ,the common form of machine for doing this may be understood by reference to the diagram4 ,illustration3 ,,fig4 #d4 ,n ,s1 ,fig4 #d1 is the permanent magnet1 which is bent into a ,u form in order to utilize both poles4 ,n' and ,s' are short rods of soft iron fastened into a yoke-piece ,y1 also of soft iron4 ,coils of wire surround each of the rods as represented1 the ends of the wires connecting with each other and with what is called a pole-changer4 ,the whole of this part is capable of revolving upon an axis ,p ,y by a pulley at ,p4 ,the action is as follows3 ,from their position1 the soft-iron rods ,n' ,s' must be magnets through the inductive action of the permanent magnet1 just as the nail was made a magnet in like position4 ,so long as the parts have the relative position shown in the figure1 and there is no motion1 no electricity can be developed2 but1 if the axis ,p ,y be turned1 ,s'1 which represents the polarity of the rod opposite ,n1 will be losing its induced magnetism2 and1 when half a revolution has been made1 that same pole will be where ,n' now is2 but it will then have ,n' polarity instead of ,s'2 that is1 it has been losing south polarity as it receded from ,n1 and gaining north polarity as it approached ,s3 hence a current of electricity has steadily been flowing through the coil in one direction4 ,at the same time1 the other rod ,n' has passed through similar phases2 and its enveloping coil has had a current of electricity induced in it in the same direction as in the first coil4 ,this doubles the intensity of the current2 and the whole is conducted by the connecting-wires where the current is wanted4 ,machines have been built upon this plan1 that contained fifty or sixty powerful compound permanent magnets1 and as many wire coils1 needing a steam-engine of eight or ten horse-power to run them4 ,a less cumbersome and much more efficient magneto-electric machine has been made by changing the form of the soft iron armature to something like a shuttle1 and winding the wire inside of it4 ,this is called the ,siemen's ,armature4 ,the latest pattern of such machines is known as the ,gramme2 and its peculiarity consists in the substitution of a broad ring of soft iron for the armature4 ,about this ring a good many coils1 of equal lengths1 of insulated copper wire are wound in such a manner that one-half of any turn in the wire goes through the inside of the ring1 making the coils longitudinal4 ,the whole of the armature thus prepared is fixed upon a shaft1 so as to permit rotation1 and fixed between the poles of a powerful ,jamin magnet4 ,the ends of the coils are connected with conductors upon the axis2 and1 when the armature thus constructed is rotated1 a very constant and powerful current of electricity flows in a single direction1 unlike the other forms4 ,it is stated1 that1 with one-horse power1 a light can be obtained equal to that from a battery of fifty ,grove cells4 ,,secondary ,,currents4 ,so long ago as #ahcf it was noticed by ,prof4 ,page of ,salem1 that1 whenever a current of electricity was made to flow in a coil of wire1 another current in the opposite direction was induced in a coil that was parallel with the first2 and also1 when the current in the first was broken1 another current in the second coil would flow in the opposite direction to the former one4 ,these currents1 which are called secondary currents1 are very transient4 ,no current at all flows save at the instant of making or breaking the current4 ,in this respect1 we are reminded of the behavior of the soft iron within the coil1 which gives origin to a current of electricity when it is made to approach a magnet or recede from it1 but gives no current so long as it is still4 ,these secondary currents were investigated by ,prof4 ,henry1 resulting in the discovery of many curious and interesting phenomena4 ,it will be sufficient here for me to refer to what are called induction coils1 which are developments of the principles involved in electro-magnetism and electro-induction4 ,imagine a rod of soft iron of any size to be wound with a coil of wire1 the ends of the wire to be so left that they may be connected with a galvanic battery4 ,around this coil let another coil be wound of very fine and well-insulated wire2 the terminal wires of it to be left adjustable to any distance from each other4 ,now1 upon making connection with a battery to the primary coil1 there will be two results produced simultaneously4 ,first1 the soft iron will be rendered magnetic2 and1 second1 a current of electricity will be generated in the secondary coil2 and the strength of this secondary current is very much increased by the inductive action of the soft iron that has been made a magnet4 ,when the battery current is broken1 the iron loses its magnetism1 and a current of electricity is again started in the secondary coil in the opposite direction4 ,the energy of this derived current is so great that it will jump some distance through the air1 and thus is apparently unlike the electricity that originates in a battery4 ,an induction coil made by ,mr4 ,ritchie for the ,stevens ,institute at ,hoboken1 ,n4,j41 has a primary coil of #aie feet of ,no4 #f wire4 ,the secondary coil is over fifty miles in length1 and is made of ,no4 #cf wire1 which is but 4#jje of an inch in diameter4 ,this instrument has given a spark twenty-one inches in length1 with three large cells of a bichromate battery4 ,mr4 ,spottiswood of ,london has just had completed for him the largest induction coil ever made4 ,it has two primary coils1 one containing sixty-seven pounds of wire1 and the other eighty-four pounds1 the wire being 4#jif inch in diameter4 ,the secondary coil is two hundred and eighty miles long1 and has #cha1hej turns4 ,this coil is made in three parts1 the diameter of the wire in the first part being 4#jjie inch2 of the second part1 4#jae2 and the third part1 4#jaa4 ,with five ,grove cells this induction coil has given a spark forty-two inches long1 and has perforated glass three inches thick4 ,the electricity thus developed in secondary coils is of the same character as that developed by friction2 and all of the experiments usually performed with the latter may be repeated with the former1 many of them being greatly heightened in beauty and interest4 ,such1 for instance1 are the discharges in vacuo in ,geisler tubes1 exhibiting stratifications1 fluorescence1 phosphorescence1 the production of ozone in great quantity1 decomposition of chemical compounds1 c4 ,the electricity developed by friction upon glass1 wax1 resin1 and other so-called non-conductors1 has heretofore been called static electricity1 for the reason that when it was once originated upon a surface it would remain upon it for an indefinite time1 or until some conducting body touched it1 and thus gave it a way of escape4 ,thus1 a cake of wax if rubbed with a piece of flannel1 or struck with a cat-skin or a fox-tail becomes highly electrified1 and in a dry atmosphere will remain so for months4 ,common air has1 however1 always a notable quantity of moisture in it2 and1 as water is a conductor of electricity1 such damp air moving over the electrified surface will carry off very soon all the electricity4 ,again1 the electricity developed through chemical action in a battery and through the inter-action of magnets and coils of wire has been called dynamic electricity1 inasmuch as it never appeared to exist save when it was in motion in a completed circuit4 ,this1 however1 is not true2 for if one of the wires from a galvanic battery be connected with the earth1 and the other wire be attached to a delicate electrometer1 it will be found that the latter gives evidence of electrical excitement in the same manner as it does for the electricity developed by friction in another body4 ,this is sometimes called tension1 and is very slight for a single cell2 but in a series of cells it becomes noticeable in other ways4 ,thus when the terminals of a single cell are taken in the hands1 no effect is perceived3 if1 however1 the terminals of a battery consisting of forty or fifty cells be thus taken1 a decided shock is felt1 not to be compared though with the shock that would be felt from the discharge of a very small ,leyden jar4 ,the shock from several hundred cells would be very dangerous4 ,it was formerly doubted that the electricity would pass between the terminals of a battery without actual contact of the terminals4 ,gassiot first showed that the spark would jump between the wires of a battery of a large number of cells before actual contact was made4 ,latterly ,mr4 ,de ,la ,rue has been measuring the distance across which the spark would jump1 using a battery of a large number of cells4 ,i give his table as taken from the ,proceedings of the ,royal ,society3-- ,cells4 ,striking distance4 #fjj 4#jjcc inch4 #a1bjj 4#jacj #a1hjj 4#jcde #b1djj 4#jece ,this table shows that the striking distance is very nearly as the square of the number of cells4 ,thus1 with #fjj cells the spark jumped 4#jjcc inch2 and with double the number of cells1 #a1bjj1 the spark jumped 4#jacj inch1 or within 4#jjjb of an inch as far as four times the first distance4 ,this leads one to ask how big a battery would be needed to give a spark of any given length1 say like a flash of lightning4 ,one cell would give a spark 4#jjjjjjja inch long1 and a hundred thousand would give a spark #ib inches long4 ,a million cells would give a spark #gfd feet long1 a veritable flash of lightning4 ,it is hardly probable that so many as a million cells will ever be made into one connected battery1 but it is not improbable that a hundred thousand cells may be4 ,de ,la ,rue has since completed #h1jdj cells1 and finds that the striking distance of that number is #j4cde inch1 a little more than one-third of an inch4 ,he also states that the striking distance increases faster than the above indicated ratio1 as determined by experimenting with a still larger number of cells4 ,these experiments and many others show that there is no essential difference between the so-called static and dynamic electricity4 ,in the one case it is developed upon a surface which has such a molecular character that it cannot be conducted away1 every surface molecule being practically a little battery cell with one terminal free in the air1 so that when a proper conductor approaches the surface it receives the electricity from millions of cells1 and therefore becomes strongly electrified so that a spark may at once be drawn from it4 ,,what ,,is ,,electricity8 ,,theories4 ,,numerous attempts have been made to explain the phenomena of electricity4 ,as a general thing1 these phenomena are so utterly unlike other phenomena that have been explained and are easily intelligible1 that it has quite generally been taken for granted1 until lately1 that something very different from ordinary matter and the laws of forces applicable to it must be involved in the phenomena themselves4 ,consequently the term imponderable was applied to it1--something that was matter minus some of the essentials of matter2 and as it was apparent that1 whatever it was1 it moved1 apparently flowed1 from one place to another1 the term fluid was applied to it1 a term descriptive of a certain form of matter4 ,imponderable fluid was the descriptive name applied to electricity4 ,newton supposed that an excited body emitted such a fluid that could penetrate glass4 ,when the two facts of electrical attraction and repulsion had to be accounted for1 two theories were propounded1--one by ,benjamin ,franklin1 the other by ,dufay4 ,franklin supposed that electricity was a subtle1 imponderable fluid1 of which all bodies contained a certain normal quantity4 ,by friction or otherwise this normal quantity was disturbed4 ,if a body received more than its due share1 it was said to be positively electrified3 if it had less than its normal quantity1 it was said to be negatively electrified4 ,franklin supposed this electric fluid to be highly self-repulsive1 and that it powerfully attracted the particles of matter4 ,according to ,dufay1 there are two electric fluids1 opposite in tendency but equal in amount4 ,when associated together in equal quantities1 they neutralize each other completely4 ,a portion of this neutral compound fluid pervades all matter in its unexcited state4 ,by friction or otherwise this compound fluid is decomposed1 the rubber and the body rubbed exchanging equal quantities of opposite kinds with each other1 leaving one of them positively1 the other negatively electrified4 ,these two fluids were supposed to be self-repulsive1 but to attract each other3 so that1 if two bodies be charged with either positive or negative electricity1 such bodies would mutually repel each other2 but if one was charged with positive1 while the other was charged with negative electricity1 the two bodies would mutually attract each other4 ,either of these two theories may be used to illustrate the phenomena1 and so have done good service in systematizing the facts4 ,it is evident that both of them cannot be true1 and it is in the highest degree probable that neither of them is true4 ,some have supposed that there was a kind of electric atmosphere about every atom of matter2 and still another theory1 now advocated by ,edlund of ,stockholm1 assumes that electricity is identical with the ether by which radiant energy1 light and heat1 is transmitted4 ,before a correct judgment can be formed of the nature of any force1 it is necessary to know what it can do1 what kind of phenomena it can produce4 ,let us1 then1 take a brief survey of what electricity can do4 #ast1 ,it can directly produce motion1 through the attractions and repulsions of electrified bodies1--as indicated by electrometers1 the rotation of the fly-wheel1 the deflection of the galvanometer needle4 ,it has been proved by the mathematical labors of ,clausius1 and confirmed by experiment1 that1 when electricity performs any mechanical work1 so much electricity is lost1 annihilated as electricity4 #b;d1 ,it can directly produce heat1 as shown by passing a sufficient quantity of electricity through a fine platinum wire3 the wire becomes heated1 and glows1 and it may even be fused by the intensity of the heat4 ,the heat developed in the so-called electric arc is so great as to fuse the most refractory substances4 ,if a current of electricity from a battery be sent through a thermo-pile1 one of the faces of the pile will be heated4 ,the heat of the spark from a ,leyden jar may be made to ignite gunpowder1 and dissipate gold into vapor4 ,the heat produced by lightning is seen when a live tree is struck by a powerful flash3 the sap of the tree is instantly converted into steam of so high a tension as to explode the tree1 scattering it in small fragments over a wide area4 ,the tips of lightning-rods often exhibit this heating effect1 being fused by the passage of too great a quantity of electricity4 ,in the early part of the present century it was demonstrated by ,count ,rumford1 and also by ,sir ,humphry ,davy1 that heat was but a form of molecular motion4 ,since then the exact relations between the motion of a mass of matter and the equivalent heat have been experimentally determined by ,joule1 so that the unit of heat may be expressed in the motion of a mass of matter4 ,this is deducible from a more general law1 known as the conservation of energy4 ,the application in this place is1 that whenever heat appears through electric action1 as in the above-mentioned places1 we know that it still is only motion that is the product1 only that this motion is now among the molecules of the body1 instead of the motion of the whole body in space1 as when a pith-ball moves1 or a galvanometer-needle turns4 #c;d1 ,it can directly produce light4 ,this is seen in every spark from an electric machine1 in the flash of lightning1 and in the electric light4 ,it has been shown in numberless ways1 that there is no essential difference between light and heat1 and that what we call light is only the active relation which certain rays of radiant energy have to the eyes4 ,in order to make this plain1 suppose that a beam of light1 say from the sun1 be permitted to fall upon a triangular prism of glass3 at once it is seen that the beam is deflected1 and instead of appearing a spot of white light1 as it did before it was deflected1 it now appears as a brilliant band of colors1 which is called the solar spectrum4 ,if now this spectrum be examined as to the distribution of heat1 by moving a thermo-pile through it from the blue end towards the red end1 it will be noticed that the galvanometer-needle will be but slightly deflected at the blue end2 but1 as the thermo-pile is moved1 the deflections are greater until it is past the red end1 where the heat is greatest4 ,on this account it has been customary to say that the red end of the spectrum was the heating end4 ,with various pieces of mechanism the rays may be separated from each other1 and measured2 and then it appears that a red ray of light has a wave length of about #a_/cgjjj in41 and the violet ray about #a_/fjjjj in4 ,the rays beyond the red have also been measured1 and found to be greater in length uniformly as one recedes from the visible part of the spectrum4 ,in like manner1 beyond the blue end the wave lengths become shorter and shorter2 and in each of these directions the spectrum that is invisible is much longer than the visible one4 ,now1 it has also been found that where a prism of glass or other material is used to produce a spectrum1 it distributes the rays very unevenly2 that is1 towards the red end of the spectrum they are very much crowded1 while towards the blue end they are more dispersed4 ,hence1 if one were measuring the heating power of such a spectrum1 many more rays would fall upon an equal surface of the thermo-pile at the red end than at the blue end2 therefore the indications of the galvanometer would be fallacious4 ,before any thing definite could be known about the matter1 it would plainly be necessary to work with an equal dispersion of all the rays4 ,this was effected a few years ago by ,dr4 ,draper of ,new ,york4 ,he took the spectrum produced by diffraction instead of refraction1 and measured that4 ,in that way it was found that the heating power of the spectrum is equal in every part of it2 and hence the pictures in treatises on physics that represent the heating power of the spectrum to be concentrated at the red end is not true save where the spectrum is irregularly produced4 ,as for vision1 the mechanical structure of the eye is such that radiant vibrations having a wave length between #a_/cgjjj in4 and #a_/fjjjj in4 can affect it1 while longer or shorter wave lengths can not4 ,such waves we call light1 but it is not at all improbable that some animals and insects have eyes adapted to either longer or shorter wave-lengths2 in which case1 what would be perfectly dark to us would be light to them4 ,it is a familiar enough fact1 that many animals1 such as dogs1 cats1 rats1 and mice1 can see in the night4 ,some horses may be trusted to keep in the road in a dark night1 when the driver cannot see even the horse itself4 ,this has usually been accounted for by saying that their eyes are constructed so as to collect a greater number of luminous rays4 ,it is much better explained by supposing their eyes to be constructed to respond to wave-lengths either greater or less than those of mankind4 ,a ray of light1 then1 consists of a single line of undulations of a definite wave length1 such that if it falls upon the eye it will produce sight2 if it falls upon a thermo-pile it heats it by just the same quantity that another wave-length would heat it2 if it falls upon matter in unstable chemical relations1 it will do chemical work1 depending upon the kinds of matter4 ,a red ray is as effective for some substances as a violet ray is for others4 ,the statement1 then1 so often lately made to do certain analogical work1 namely1 that a ray of light consists of three distinct parts1 which may be separated from each other1 and are called heat1 light1 and chemical properties1 is simply untrue4 ,what a ray will do1 depends upon what kind of a structure it falls on2 and when it has done that work1 of whatever kind it may be1 it ceases to exist as a ray4 ,if1 therefore1 electricity can directly produce light1 it is simply producing motion1 as in the case of heat1 the motion being of such a sort that the eyes of men are affected by it4 #dth1 ,it can produce magnetism4 ,a current of electricity passing through a coil of wire makes such a coil a magnet1 which will set itself in the direction of the magnetic meridian of the earth2 and1 if a bar of soft iron be placed in the coil1 it becomes the familiar electro-magnet2 and1 if hardened steel be put in it1 it becomes a permanent magnet4 ,this leads to the inquiry as to what magnetism is4 ,we know that it can produce motion by its moving at a distance a piece of iron or another magnet4 ,it will also sustain a mass of matter against gravity or some other contrary force4 ,through such mechanism as magneto-electric machines it produces electricity in great abundance1 which again can be used to produce any of the effects of electricity1--moving bodies by attraction or repulsion1 generating heat or light1 or again making a magnet4 ,but as all of these are but varied forms of motion1 either of a mass as a whole1 or molecular1 can it be doubted for an instant1 that what we call magnetism is but some form of motion8 ,must it not be either some form of matter1 or some form of motion8 ,if it were a form of matter1 then a magnet would only be permanent so long as it was not used2 for use implies consumption of the force2 and1 if this be matter in any form1 then in a given mass of matter there can be but a definite quantity of such magnetic matter1 and consumption must lessen that quantity4 ,as a matter of fact1 there is no perceptible lessening of the power of a magnet when it is properly used4 ,it is also a matter of fact1 that neither motion of a mass1 nor electrical effects1 nor any other1 can be produced by the action of a magnet alone4 ,it is only when some form of motion has been added to its own property1 that we get any kind of an effect from it3 hence all effects due to its action are resultants of two forces1 one of them being common motion of a mass of matter1 and the other the energy of the magnet4 ,hence we infer that a magnet is a mechanism of such a structure as to change the direction and character of the motion which acts upon it4 ,when the wheel of a common electrical machine is turned1 the product is electricity1--a force very different from that which originates it4 ,ordinary mechanical motion goes in2 electricity comes out1 the latter being a modified motion due to the physical structure of the machine4 ,in like manner1 a magnet may be considered as a machine by means of which mechanical motion may be converted into some other form of motion4 ,it is evident that molecular structure is chiefly concerned in this4 ,if a bar of iron that exhibits no evidence of magnetism whatever be subjected to torsion1 it will immediately become a magnet with poles dependent upon the direction of the twist4 ,this developed magnetism will re-act upon a coil of wire1 and so move a galvanometer needle4 ,if the bar be permitted to recover its original condition1 it will lose its magnetism1 which will at once re-appear upon twisting the rod again4 ,now1 when the rod is twisted1 it is evident that there is a molecular strain in certain directions throughout the mass4 ,the converse experiment illustrates the same thing4 ,it has been found1 that when a rod of iron is made magnetic by the action of a current of electricity circulating about it1 and at the same time passing longitudinally through it1 the rod is slightly lengthened and twisted in a direction that depends upon the direction of the current4 ,moreover1 if a permanent magnet be heated to a red heat1 its magnetism is destroyed2 for such a heat allows the molecules to freely arrange themselves without any external constraint4 ,also1 if a permanent magnet be suspended so as to give out a musical sound when it is struck1 the magnetism will be much weakened by making it thus to vibrate4 ,in this case1 as in the other1 the vibrations affect every molecule1 and so enable them to re-adjust themselves to the positions they held before being magnetized4 ,the same thing happens when a bar of iron is made magnetic through the inductive action of the earth4 ,when this bar is held in the direction of the magnetic dip1 it becomes but very slightly magnetized2 but1 if it be so held that when it is struck with a hammer it will ring1 that is1 give out a musical sound1 it will at once become decidedly magnetic4 ,evidently the earth's action tends to set the molecules of the mass in a new position1 but cohesion prevents them from assuming it4 ,when the molecules are made to vibrate1 they can assume such new positions more readily4 ,the molecules of a magnet1 then1 are differently arranged from those in an unmagnetized piece of iron or steel2 and1 for every new arrangement of the molecules of a mass of any kind1 we always have some new physical property developed4 ,the same identical substance may appear as charcoal1 coke1 plumbago1 anthracite coal1 and diamond4 ,hence a magnet is a machine in which other forces acting upon it are transformed in character1 and re-appear as attractions and repulsions of other kinds of matter3 this transformation cannot take place1 and hence magnetism cannot become apparent1 only upon the condition of another force acting in concert with it2 and1 if at any time it may seem to be acting without such external force1 it is done at the expense of the heat it has absorbed1 and therefore the magnet must at such time be losing temperature proportional to the work done4 ,this ,i have discovered to be true by making a magnet to exert its force in front of a thermo-pile1 which uniformly exhibits a cooled face under such conditions4 ,what the particular form of the motion may be that we call magnetism1 is not yet made out2 but that it is some form of motion1 is very evident4 ,the following experiments may throw some light upon it4 ,last ,august ,mr4 ,kerr read a paper before the ,british ,association of ,science1 in which was detailed the following experiment3 ,the pole of an electro-magnet was nicely polished so as to reflect light like a mirror4 ,a beam of sunlight was permitted to fall upon it1 and be reflected to a convenient place for examination4 ,a current of electricity was sent through the coil1 which of course rendered the iron magnetic2 and it was noticed that the light that was reflected from the pole was circularly polarized3 that is1 the motion of a ray1 instead of being a simple undulatory movement1 was now made to assume such a motion as the water from a garden-hose has when the nozzle is swung round in a circle while the water is escaping from it4 ,after reading the account of it1 it occurred to me that the converse experiment might be tried2 that is to say1 the effect of a circularly polarized beam of light upon a piece of steel4 ,by concentrating a large beam of ordinary plane polarized light with a quartz lens1 and passing it through a quarter wave-plate at the proper angle1 a powerful beam of circularly polarized light was obtained4 ,at the focus of this beam a fine cambric needle without magnetism was placed so that the light passed it longitudinally4 ,ten minutes' exposure was sufficient to make it decidedly magnetic4 ,hence ,i infer that the motions which we call magnetic attractions and repulsions may be quite analogous to such helical motions2 also1 that these motions exist in ether1 and evidently may be either right-handed or left-handed4 ,wind up on a pencil a piece of wire twelve or fifteen inches long1 making a loose spiral4 ,bring the two ends of the spiral together2 and note first that one is twisted to the right1 the other to the left4 ,if they be twisted into each other1 they will advance very easily2 but if a right-handed spiral were to be interlocked with another like it1 and both turned in the direction of their spiral1 they would separate rapidly4 ,applying this conception to a magnet1 we might suppose that such spiral motions will be set up in the ether by the magnet1 and that such motions re-acting upon ordinary matter affect it as attraction and repulsion2 and thus we should have at least a conceivable mechanical explanation of the phenomenon4 ,illustration3 ,,fig4 #e4 ,there are numberless experiments which might be given to further exhibit the relation of mass motion to magnetism1 but a single one more must suffice4 ,no rotation of a magnet upon its own axis can produce any effects upon a current that is exterior to it2 but if a loop of wire be kept stationary adjacent to a magnet1 as in ,fig4 #e1 while the magnet revolves1 a current of electricity is produced2 and if the magnet be kept stationary1 and the loop revolves1 a current will also be produced1 but in the opposite direction4 ,here1 as in all the other cases1 no electricity is originated1 save when motion is imparted to one or other of the parts4 ,this experiment is due to ,faraday4 ,from all these cases we can come to but one conclusion1 that both electricity and magnetism are but forms of motion2 electricity being a form of motion in ordinary matter1 for it cannot be made to pass through a vacuum1 while magnetism must be a form of motion induced in the ether1 for it is as effective in a vacuum as out of it2 electricity always needing some material conductor1 magnetism needing no more than do radiant heat and light4 ,,velocity4 ,measurements have been made of the velocity of electricity2 both that of high tension1 such as the spark from a ,leyden jar1 and also that from a battery4 ,the former was found to have a velocity over #bjj1jjj miles a second1 while the electricity from a battery may move as slowly as #ae1jjj or #bj1jjj miles a second2 but this is very largely a matter of conductors4 ,its velocity is seldom above #cj1jjj miles a second on ordinary telegraphic lines4 ,if the electricity be used to give signals1 as in ordinary telegraphy1 the time required varies nearly as the length of the line1 and in any case is a much greater quantity4 ,prescott in his work on the telegraph states that the time required to produce a signal on the electro-magnet at the extremity of a line of #cjj miles of ,no4 #h iron wire is about 4#ja seconds1 and that this time increases in a greater proportion than the length of the line2 for example1 on a line #fjj miles in length it amounts to about 4#jc seconds4 ,he also states that it varies much with the kind of magnet used1 some forms of magnets being much more sensitive than others for this work4 ,wheatstone proved a good many years ago that the duration of the electric spark was less than one millionth of a second4 ,when a swiftly moving body can only be seen by an electric spark1 or flash of lightning1 it looks as if it were quiescent4 ,thus a train of cars rushing along at the rate of forty or fifty miles per hour appears sharply defined1--even the driving-wheels of the locomotive can be seen in detail1 which is impossible in continuous light1--and all seems to be standing still4 ,in like manner will the sails of a windmill1 which may be turning at a rapid rate1 be seen apparently at rest4 ,this is because in the short time during which they are illuminated they do not appreciably move4 ,i am not aware that any attempt has been made to measure the velocity of magnetism4 ,if1 however1 it be a form of motion in ether1 it is probable that the velocity is comparable to the velocity of radiant energy1 light1 which is equal to about #ahf1jjj miles a second4 ,,sound4 ,,before explaining the relation that sound has to telephony1 it will be necessary to make quite plain what sound is1 and how it affects the substance of the body through which it moves4 ,if ,i strike my pencil upon the table1 ,i hear a snap that appears to the ear to be simultaneous with the stroke3 if1 however1 ,i see a man upon a somewhat distant hill strike a tree with an axe1 the sound does not reach me until some appreciable time has passed2 and it is noted1 that1 the farther away the place where a so-called sound originates1 the longer time does it take to reach any listener4 ,hence sound has in air a certain velocity which has been very accurately measured1 and found to be #a1jic feet per second when the temperature of the air is at the freezing point of water4 ,as the temperature increases1 the velocity of sound will increase a little more than one foot for every ,fahrenheit degree2 so that at #fj deg4 the velocity is #a1abe feet per second4 ,this is the velocity in air4 ,in water the velocity is about four times greater1 in steel sixteen times1 in pine-wood about ten times4 ,,constitution ,,of ,a ,,single ,,sound-,,wave4 ,if a person stands at the distance of fifteen or twenty rods from a cannon that is fired1 he will first see the flash1 then the cloud of smoke that rushes from the cannon's mouth1 then the ground will be felt to tremble1 and lastly the sound will reach his ear at the same time that a strong puff of air will be felt4 ,this puff of air is the sound-wave itself1 travelling at the rate of eleven hundred feet or more per second4 ,at the instant of explosion of the gunpowder1 the air in front of the cannon is very much compressed2 and this compression at once begins to move outwards in every direction1 so as to be a kind of a spherical shell of air constantly increasing in diameter2 and1 whenever it reaches an ear1 the sound is perceived4 ,whenever such a sound-wave strikes upon a solid surface1 as upon a cliff or a building1 it is turned back1 and the reflected wave may be heard2 in which case we call it an echo4 ,when a cannon is fired1 we generally hear the sound repeated1 so that it apparently lasts for a second or more2 but when1 as in the first case1 we hear the sound of a pencil struck upon the table1 but a single short report is noticed1 and this1 as may be supposed1 consists of a single wave of condensed air4 ,illustration3 ,,fig4 #f4 ,illustration3 ,,fig4 #g4 ,imagine a tuning-fork that is made to vibrate4 ,each of the prongs beats the air in opposite directions at the same time4 ,look at the physical condition of the air in front of one of these prongs4 ,as the latter strikes outwards1 the air in front of it will be driven outwards1 condensed2 and1 on account of the elasticity of the air1 the condensation will at once start to travel outwards in every direction1--a wave of denser air2 but directly the prong recedes1 beating the air back in the contrary direction1 which will obviously rarefy the air on the first side4 ,but the disturbance we call rarefaction moves in air with the same velocity as a condensation4 ,we must therefore remember1 that just behind the wave of condensation is the wave of rarefaction1 both travelling with the same velocity1 and therefore always maintaining the same relative position to each other4 ,now1 the fork vibrates a great many times in a second1 and will consequently generate as many of these waves1 all of them constituted alike1 and having the same length2 by length meaning the sum of the thicknesses of the condensation and the rarefaction4 ,suppose a fork to make one hundred vibrations per second3 at the end of the second1 the wave generated by the vibration at the beginning of the second would have travelled1 say1 eleven hundred feet2 and evenly distributed between the fork and the outer limit1 would be ranged the intermediate waves occupying the whole distance3 that is to say1 in eleven hundred feet there would be one hundred sound-waves1 each of them evidently being eleven feet long4 ,if the fork made eleven hundred vibrations per second1 each of these waves would be one foot long2 for sound-waves of all lengths travel in air with the same rapidity4 ,some late experiments seem to show that the actual amplitude of motion of the air1 when moved by such a high sound as that from a small whistle1 is less than the millionth of an inch4 ,,pitch4 ,the pitch of a sound depends wholly upon the number of vibrations per second that produce it2 and if one of two sounds consists of twice as many vibrations per second as the other one1 they differ in pitch by the interval called in music an octave1 this latter term merely signifying the number of intervals into which the larger interval is divided for the ordinary musical scale4 ,the difference between a high and a low sound is simply in the number of vibrations of the air reaching the ear in a given time4 ,the smaller intervals into which the octave is divided stand in mathematical relations to each other when they are properly produced1 and are represented by the following fractions3-- ,c ,d ,e ,f ,g ,a ,b ,c #a #i_/h #e_/d #d_/c #c_/b #e_/c #ae_/h #b ,illustration ,these numbers are to be interpreted thus3 ,suppose that we have a tuning-fork giving #bef vibrations per second3 the sound will be that of the standard or concert pitch for the ,c on the added line as shown on the staff4 ,now1 ,d when properly tuned will make #i vibrations while ,c makes but #h2 but1 as ,c in this case makes #bef1 ,d must make #befx#i_/hbhh4 ,in like manner ,g is produced by #befx#c_/bchd1 and ,c above by #befx#beab1 and so on for any of the others4 ,if other sounds are used in the octave above or below this one1 the number of vibrations of any given note may be found by either doubling or halving the number for the corresponding note in the given octave4 ,thus ,g below will consist of #chd_/baib1 and ,g above of #chdx#bgfh4 ,during the past century there has been a quite steady rise in the standard pitch1 and this has been brought about in a very curious and unsuspected way4 ,the tuning-fork has been the instrument to preserve the pitch1 as it is the best available instrument for such a purpose1 it being convenient to use1 and does not vary as most other musical instruments do4 ,but a tuning-fork is brought to its pitch with a file1 which warms it somewhat1 so that at the moment when it is in tune with the standard that is being duplicated it is above its normal temperature2 and when it cools its tone rises4 ,when another is made of like pitch with this one1 the same thing is repeated2 and so it has continued until the standard pitch has risen nearly a tone higher than it was in ,haendel's time4 ,the common ,a and ,c tuning-forks to be had in music stores1 often vary a great deal from the accepted concert pitch4 ,such as the writer has measured have been generally too high2 sometimes being ten or more vibrations per second beyond the proper number4 ,the tuning-forks made by ,m4 ,koeenig of ,paris are accurate within the tenth of one vibration1 the ,c making #bef vibrations in one second4 ,,limits ,,of ,,audibility4 ,numerous experiments have been made to determine the limits of audible sounds2 and here it is found that there is a very great difference in individuals in their ability to perceive sounds4 ,helmholtz states that about #bc vibrations per second is the fewest in number that can be heard as continuous sound2 if they are fewer in number than that1 the vibrations are heard as separate distinct noises1 as when one knocks upon a door four or five times a second4 ,if one could knock evenly #bc times per second1 he would be making a continuous musical sound of a very low pitch4 ,but this limit of #bc is not the limit for all3 some can hear a continuous sound with as few as #af or #ah vibrations per second1 while others are as far above the medium as this is below it4 ,the limits of sound in musical instruments are about all included in the range of a #g-octave pianoforte from ,f to ,f1 say from #db to #e1dfj vibrations per second4 ,but this high number is not anywhere near the upper limit of audible sounds for man4 ,very many of the familiar sounds of insects1 such as crickets and mosquitoes1 have a much higher pitch4 ,helmholtz puts this upper limit at #ch1jjj vibrations per second1 and ,despraetz at #cf1hej4 ,the discrepancy of results is due solely to the marked difference in individuals as to acoustic perception4 ,for the production of high musical tones1 ,koeenig of ,paris makes a set of steel rods4 ,a steel rod of a certain length1 diameter1 and temper1 will give a musical sound which may be determined4 ,the proper length for other rods for giving higher tones may be determined by the rule that the number of vibrations is inversely proportional to the square of the length of the rod4 ,the dimensions of these rods when made #b c4 m4 in diameter are as follows3-- ,length4 ,vibrations4 #ff4b m4 m4 #bj1jjj #ei4a #be1jjj #ec4h #cj1jjj #ej4a #ce1jjj #dg4e #dj1jjj ,these rods need to be suspended upon loops of silk1 and they are struck with a piece of steel so short as to be wholly beyond the ability of any ear to hear its ring4 ,nothing but a short thud is to be heard from it when it strikes1 while from the others comes a distinct ringing sound4 ,in experimenting with such a set of steel rods ,i have not found any one yet who could hear as many as #be1jjj per second1 my own limit being about #ba1jjj4 ,but it has been experimentally found that children and youth have a perceptive power for high sounds considerably above adults4 ,dr4 ,clarence ,blake of ,boston reports a case in his aural practice1 of a woman whose hearing had been gradually diminishing for some years until she could not hear at all with one ear1 and the ticking of a watch could only be heard with the other when the watch was held against the ear4 ,after treatment it was discovered that the sensibility to high sounds was very great1 and that she could hear the steel rod having a tone of #dj1jjj vibrations4 ,last year ,mr4 ,f4 ,galton1 ,f4,r4,s41 exhibited before the ,science ,conference an instrument in the shape of a very small whistle1 which he had devised for producing a very high sound4 ,the whistle had a diameter less than the one twenty-fifth of an inch4 ,the length could be varied by moving a plug at the end of the whistle4 ,it was easy to make a sound upon such an instrument that was altogether out of hearing-range of any person4 ,mr4 ,galton tried some very interesting experiments upon animals1 by using these whistles4 ,he went through the ,zooelogical ,gardens1 and produced such high sounds near the ears of all the animals4 ,some of them would prick up their ears1 showing that they heard the sound2 while others apparently could not hear it4 ,he declares that among all the animals the cat was found to hear the sharpest sound4 ,small dogs can also hear very shrill notes1 while larger ones can not4 ,cattle were found to hear higher sounds than horses4 ,the squeak of bats and of mice cannot be heard by many persons who can hear ordinary sounds as well as any2 sharpness of hearing having nothing to do with the limits of hearing4 ,,effects ,,of ,,sound ,,upon ,,other ,,bodies4 ,if a vibrating tuning-fork be held close to a delicately suspended body1 the latter will approach the fork1 as if impelled by some attractive force4 ,the experiment can be made by fastening a bit of paper about an inch square to a straw five or six inches long1 and then suspending the straw to a thread1 so that it is balanced horizontally4 ,bring the vibrating tuning-fork within a quarter of an inch of the paper4 ,in this case the motion of approach is due to the fact that the pressure of the air is less close to a vibrating body than at a distance from it2 there is therefore a slightly greater pressure on the side of the paper away from the fork than on the side next to it4 ,if a vibrating tuning-fork be held near to the ear1 and turned around1 there may be found four places in one rotation where the sound will be heard but very faintly1 while in every other position it can be heard plainly enough4 ,the extinction of the sound is due to what is called interference4 ,each of the prongs of the fork is giving out a sound-wave at the same time1 but in opposite directions1 each wave advancing outwards in every direction4 ,where the rarefied part of one wave exactly balances the condensed part of the other1 there of course the sound will be extinguished2 and these lines of interference are found to be hyperbolas1 or1 if considered with reference to both entire waves1 two hyperbolic surfaces4 ,,sympathetic ,,vibrations4 ,when it is once understood that a musical sound is caused by the vibrations more or less frequent which only make the difference we call pitch1 it might at once be inferred1 that if we have a body that is capable of vibrating say a hundred times a second1 and it receives a hundred pulses or pushes a second1 it would in this way be made to vibrate4 ,suppose1 then1 that we take two tuning-forks1 each capable of vibrating #bef times a second3 if one be struck while the other is left free1 the former one will be giving to the air #bef impulses per second1 which will reach the other fork1 each pulse tending to move it a little1 the cumulative result being to make it move perceptibly1 that is1 to give out a sound4 ,the principle is just the same as that employed in the common swing4 ,one push makes the swing to move a little1 upon its return another is given1 in like manner a third1 and so on until a person may be swung many feet high4 ,if a glass tumbler be struck1 it gives out a musical sound of a certain pitch1 which will set a piano-string sounding that is tuned to the same pitch1 provided that the damper be raised4 ,it is said that some persons' voices have broken tumblers by singing powerfully near them the same note which the tumblers could give out1 the vibrations of the tumblers being so great as to overcome cohesion of the molecules4 ,there are very many interesting effects due to sympathetic vibrations4 ,large trees are sometimes uprooted by wind that comes in gusts timed to the rate of vibration of the tree4 ,when troops of soldiers are to cross a bridge1 the music ceases1 and the ranks are broken1 lest the accumulated strain of timed vibrations should break the structure2 indeed1 such accidents have several times occurred4 ,there is not so much danger to a bridge when it is heavily loaded with men or with cattle1 as when a few men go marching over it4 ,when the iron bridge at ,colebrooke ,dale was building1 a fiddler came along1 and said to the workmen that he could fiddle their bridge down4 ,the builders thought this boast a fiddle-de-dee1 and invited the musician to fiddle away to his heart's content4 ,one note after another was struck upon the strings1 until one was found with which the bridge was in sympathy4 ,when the bridge began to shake violently1 the workmen were alarmed at the unexpected result1 and ordered the fiddler to stop4 ,some halls and churches are wretchedly adapted to hear either speaking or singing in4 ,if wires be stretched across such halls1 between the speaker's stand and the opposite end1 they will absorb the passing sound-waves1 and will be made to sympathetically vibrate1 thus preventing in a good degree the interfering echoes4 ,the wire should be rather fine piano-wire1 and it should be stretched so tightly as to give out a low musical sound when plucked with the fingers4 ,in a large hall there should be twenty or more such wires4 ,,resonance4 ,when a tuning-fork is struck1 and held out in the air1 the vibrations can be felt for a time by the fingers2 but the sound is hardly audible unless the fork be placed close to the ear4 ,let the stem of the fork rest upon the table1 a chair1 or any solid body of considerable size1 and the sound is so much increased in loudness as to be heard in every part of a large room4 ,the reason appears to be1 that in the first case the vibrations are so slight that the air is not much affected4 ,most of the force of the vibration is absorbed by the hand that holds it2 but when the stem rests upon a hard body of considerable extent1 the vibrations are given up to it1 and every part of its surface is giving off the vibrations to the air4 ,in other words1 it is a much larger body that is now vibrating1 and consequently the air is receiving the amplified sound-waves4 ,if the stem of the fork had been made to rest upon a bit of rubber1 the sound would not only not have been re-enforced in such a way1 but the fork would very soon have been brought to rest2 for ,india rubber absorbs sound vibrations1 and converts them into heat vibrations1 as is proved by placing such a combination upon the face of a thermo-pile4 ,if one will but put his hand upon a table or a chair-back in any room where a piano or an organ is being played1 or where voices are singing1 especially in church1 he cannot fail to feel the sound2 and if he notices carefully he will perceive that some sounds make such table or seat to shake much more vigorously than others1--a genuine case of sympathetic vibrations4 ,it is for this reason that special materials and shapes are given to parts of musical instruments1 so that they may respond to the various vibrations of the strings or reeds4 ,for instance1 the piano has an extensive thin board of spruce underneath all the strings1 which is called the sounding-board4 ,this board takes up the vibrations of the strings2 but1 unlike the rubber1 gives them all out to the air1 greatly re-enforcing their strength1 and changing somewhat their quality4 ,but the air itself may act in like manner4 ,in almost any room or hall not more than fifteen or twenty feet long1 a person can find some tone of the voice that will seem to meet some response from the room4 ,some short tunnels will from certain positions yield very powerful1 responsive1 resonant tones4 ,there is certainly one such in ,central ,park1 ,new ,york4 ,it is forty or fifty feet long4 ,to a person standing in the middle of this1 and speaking or making any kind of a noise on a certain pitch1 the resonance is almost deafening4 ,it is easy to understand4 ,when a column of air enclosed in a tube is made to vibrate by any sound whose wave-length is twice the length of the tube1 we have such column of air now filled with the condensed part of the wave1 and now with the rarefied part2 and as these motions cannot be conducted laterally1 but must move in the direction of the length of the tube1 the air has a very great amplitude of motion1 and the sound is very loud4 ,if one end of the tube be closed1 then the length must be but one-fourth of the wave-length of the sound4 ,take a tuning-fork of any convenient pitch1 say a ,c of #eab vibrations per second3 hold it while vibrating over a vertical test-tube about eight inches long4 ,no response will be heard2 but1 if a little water be carefully poured into the tube to the depth of about two inches1 the tube will respond loudly1 so that it might be heard over a large hall4 ,in this case the length of the air-column that was responding1 being one-fourth the wave-length1 would give twenty-four inches as the wave-length of that fork4 ,it is easy in this way to measure approximately the number of vibrations made by a fork4 ,letting l depth of tube1 d diameter of tube1 v velocity of sound reduced for temperature1 ,n number of vibrations1 ,then ,n v ------------ 7#d7ld774 ,when a vibrating tuning-fork is placed opposite the embouchure of an organ-pipe of the same pitch1 the pipe will resound to it1 giving quite a volume of sound4 ,in #ahgb it occurred to me1 that the action of an organ-pipe might be quite like that of a vibrating reed in front of the embouchure4 ,as the air is driven past it from the bellows1 the form of the escaping air will evidently be like a thin1 elastic strip2 and1 having considerable velocity1 it will carry off by friction a little of the air in the tube3 this will of course rarefy the air in the tube somewhat1 and a wave of condensation will travel down the tube4 ,at the bottom1 being suddenly stopped1 its re-action will be partly outwards1 and so will drive the strip of air away from the tube4 ,after this will follow1 for a like reason1 the other phase of the wave1 the rarefaction1 which will swing the strip of air towards the tube4 ,this theory ,i verified by filling the bellows with smoke1 and watching the motion of the escaping air and smoke with a stroboscope4 ,this view is now advocated by an organ-builder in ,england1 ,herman ,smith2 but whether he discovered it before or after me1 ,i do not know4 ,when a membrane vibrates1 its motion is generally perceptible to the eye2 and it may have a very great amplitude of motion1 as in the case of the drum2 and various instruments have been devised for the study of vibrations1 using membranes like rubber1 gold-beater's skin1 or even tissue paper1 to receive the vibrations4 ,one of the musical instruments of a former generation of boys was the comb4 ,a strip of paper was placed in front of it1 and placed at the mouth1 and sung through1 the paper responding to the pitch with a loose nasal sound4 ,koeenig fixed a membrane across a small capsule1 one side of which was connected by a tube to any source of sound1 and the other side to a gas-pipe and a small burner4 ,a sound made in the tube would shake the flame1 and a mirror moving in front of the flame would show a zigzag outline corresponding to the sound vibrations4 ,in like manner if a thin rubber be stretched over the end of a tube one or two inches in diameter and four or five inches long1 and a bit of looking-glass one-fourth of an inch square be made fast to the middle of the membrane1 the motions of the latter can be seen by letting a beam of sunlight fall upon the mirror so as to be reflected upon a white wall or screen a few feet away4 7,fig4 #h47 ,illustration3 ,,fig4 #h4 ,when a sound is made in this tube1 the spot of light will at once assume some peculiar form1--either a straight line with some knots of light in it1 or some curve simple or compound1 and such as are known as ,lissajous curves4 ,if1 while some of these forms are upon the screen1 the instrument be moved sideways1 the forms will change to undulating lines with or without loops1 varying with the pitch and intensity1 but being alike for the same pitch and intensity4 7,fig4 #i7 ,this instrument ,i called the opeidoscope4 ,illustration3 ,,fig4 #i4 ,the vibration of a membrane and that of a solid differ chiefly in the amplitude of such vibration4 ,the scratch of a pin at one end of a long log can be heard by an ear applied to the other end of the log2 but every molecule in the log must move slightly2 and there are all degrees of movement between that visible to the eye1 which we call mass motion1 and that called molecular simply because we cannot measure the amplitude of the motion4 ,we may1 then1 roughly divide all bodies into two classes1 as to their relations to sound1--such as re-enforce it1 and such as distribute it3 the first depending upon the form of the body1 as related to a particular sound2 the second independent of form1 and responding to all orders of vibrations4 ,air1 wood1 and metals belong in this latter class4 ,the common toy-string telegraph1 or lovers' telegraph1 is an example of this class4 ,two tin boxes are connected by a string passing through the middle of the bottom of each4 ,when the string is stretched1 and a person speaks in one box1 what is said can be heard by an ear applied at the other4 ,if the speaking-tubes be made about four inches in diameter1 and about four inches deep1 they are capable of doing much more service than is generally supposed to be possible4 ,i know of two lines1 one of five hundred feet and the other of a thousand feet in length1 over which one can talk1 and be heard with distinctness4 ,in the line of a thousand feet1 the end of the tube is made of sheepskin tightly stretched1 and the line is made of ,no4 #h cotton thread4 ,the greater the tension1 the better is the sound transmitted4 ,the thread is supported at intervals by running through a loop on the ends of cords not less than three feet long1 attached to supports4 ,the thread pierces the membrane1 and is attached to a small button which is in contact with the membrane4 ,wind and rain affect this line disadvantageously4 ,the other line of five hundred feet1 between a passenger and a freight depot1 has the tube end covered with stretched calfskin4 ,instead of thread1 a copper-relay wire is employed 7any small uninsulated wire will do as well74 ,this permits a good tension1 and is unaffected by the weather4 ,one may stand in front of it about three feet1 and converse with ease1 and in an ordinary tone4 ,the wire is supported in loops of string1 as in the other4 ,musicians have in all times employed various instruments for the production of musical effects4 ,whistles made of bone were used by pre-historic men1 some of them having finger-holes so that different tones could be produced4 ,a stag-horn that was blown like a flageolet1 and having three finger-holes1 has also been found2 while on the old monuments of ,egypt are pictured harps1 pipes with seven finger-holes1 a kind of flute1 drums1 tambourines1 cymbals1 and trumpets4 ,in later times these primeval forms have been modified into the various instruments in use in the modern orchestra4 ,it seems as if no musician had ever been interested in the question as to why one instrument should give out a sound so different from another one1 even though it was sounding upon the same pitch4 ,no one can ever mistake the sound of a violin1 or a horn1 or a piano1 for any other instrument2 and no two persons have voices alike4 ,this difference in tone1 which enables us to identify an instrument by its sound or a friend by his voice1 is called quality of tone1 or timbre4 ,about twenty years ago1 that great ,german physicist ,helmholtz undertook the investigation of this subject1 and succeeded in unravelling the whole mystery of the qualities of sound4 ,he discovered first1 that a musical sound is very rarely a simple tone1 but is made up of several tones1 sometimes as many as ten or fifteen1 having different degrees of intensity and pitch4 ,the lowest sound1 which is also the strongest1 is called the fundamental2 and it is this tone we mean when we speak of the pitch of a sound1 as the pitch of middle ,c upon a piano1 or the pitch of the ,a string on a violin4 ,the higher sounds that accompany the fundamental are called sometimes harmonics1 sometimes upper partial tones1 but generally overtones4 ,the character or quality of a sound depends altogether upon the number and intensity of these overtones associated with the fundamental4 ,if a sound can be made upon a pipe and a violin1 that consists wholly of the fundamental with no overtones1 the two instruments sound absolutely alike4 ,it is exceedingly difficult to do this2 and such sound when produced is smooth1 but without character1 and unpleasing4 ,second1 ,helmholtz discovered that the overtones always stand in the simplest mathematical relation to the fundamental tone1--in fact1 are simple multiples of that tone1 being two1 three1 four1 and so on1 times the number of vibrations of it4 ,this will be readily understood by considering the position of such related sounds when they are written upon the staff4 ,illustration ,if we start with ,c in the bass as indicated in the staff1 calling that the fundamental1 then the notes that will represent the above ratios are those indicated by smaller notes1 which are the overtones up to the ninth4 ,the first overtone1 being produced by twice the number of vibrations1 must be the octave2 the second1 the fifth of the second octave2 the third will be two octaves from the first1 and so on3 the number of vibrations of each of these notes being the number of the fundamental multiplied by its order in the series4 ,taking ,c with #abh vibrations1 we have for this series3-- #abh x #a #abh ,c fundamental4 #abh x #b #bef ,c'4 #abh x #c #chd ,g'4 #abh x #d #eab ,c''4 #abh x #e #fdj ,e''4 #abh x #f #gfh ,g''4 #abh x #g #hif ,b''flat4 #abh x #h #a1jbd ,c'''4 #abh x #i #a1aeb ,d'''4 #abh x #aj #a1bhj ,e'''4 ,this series is continued up to the limits of hearing4 ,now1 it appears that all instruments do not give the complete series3 indeed1 it is not possible to obtain them all upon some instruments4 ,each of them1 however1 when present helps in the general effect which we call quality4 ,sometimes the overtones are more prominent than the fundamental1 as when a piano-wire is struck with a nail4 ,it has always been noticed that it does not give out the sound that is wanted when it is struck in this way4 ,hence it is the art of an instrument-maker to so construct the instrument as to develop and re-enforce such tones as are pleasing1 and to suppress the interfering and disagreeable overtones4 ,piano-makers learned by trial where was the proper place to strike the stretched wire in order to develop the most musical sound upon it2 but no reason could be given until it was observed that striking it at a point about one-seventh or one-ninth its length from either end prevented the development of the objectionable overtones1 the seventh and the ninth4 ,hence they can scarcely be heard in a properly constructed instrument4 ,these overtones are very discordant with the lower sounds4 ,organ-pipes have their specific qualities given to them by making them wide-mouthed1 narrow-mouthed1 conical1 and so on2 shapes which experience has determined give pleasing sounds with different qualities4 ,the violin is an instrument that seems to puzzle makers more than almost any other4 ,some of the old violins made two hundred years ago by the ,amati family at ,cremona are worth many times their weight in gold4 ,recent makers have tried in vain to equal them2 but1 when their ingenuity and skill have failed1 they declare that age has much to do with such instruments1 that age mellows the sounding quality of the violin4 ,but the ,cremona violins were just as extraordinary instruments when they left the hands of the makers as they are now2 and the fame of the ,amati family as violin-makers was over all ,europe while they were living4 ,a good violin when well played gives an exquisite musical effect1 and on account of its range and quality of tones it is the leading orchestral instrument1 always pleasing and satisfying2 but in unskilled hands even the best ,cremona will give forth sounds that make one grieve that it was ever invented4 ,overtones of all sorts and with all degrees of prominence may be easily developed upon it3 therefore the skilful player draws the bow at such a place upon the strings as to develop the overtones he wants1 and suppress the ones not wanted4 ,the usual rule is to draw the bow about an inch below the bridge2 but the place for the bow depends upon where the fingers are that stop the strings1 and also the pressure upon it4 ,it requires an almost incredible amount of practice to be able to play a violin very well4 ,in the accompanying table will be found the component parts of tones upon a few instruments in common use4 ,,tone ,,composition4 ,the components of the tones are indicated by lines in the column underneath the figures representing the series4 ,thus the narrow-stopped organ-pipe gives a sound composed of a fundamental1 and overtones three1 five1 seven1 and nine times the number of vibrations of it4 ,,tone ,,composition4 ---------------------------------------- ---------------- ,,instruments4 #a #b #c #d #e #f #g #h #i #aj ---------------------------------------- ---------------- _/ ,wide stopped _/ ------------------------------ ,narrow _/ _/ _/ _/ _/ ------------------------------ ,narrow cylinder _/ _/ _/ _/ _/ _/ ,,organ ------------------------------ ,,pipes4 ,principal _/ _/ _/ 7,wood7 ------------------------------ ,conically _/ _/ _/ _/ narrow at top4 ------------------------------ ,flute _/ _/ _/ _/ ------------------------------ ,violin _/ _/ _/ _/ _/ _/ _/ _/ _/ _/ ------------------------------ ,piano _/ _/ _/ _/ _/ _/ _/ _/ ------------------------------ ,bell _/ _/ _/ _/ _/ _/ _/ ------------------------------ ,clarionet _/ _/ _/ _/ _/ ------------------------------ ,bassoon _/ _/ _/ _/ _/ _/ _/ ------------------------------ ,oboe _/ _/ _/ _/ _/ _/ _/ ---------------------------------------- ---------------- ,it must not be inferred that all of the overtones are of equal strength3 they are very far from that2 but these differ in different instruments1 and it is this that constitutes the difference between a good instrument and a poor one of the same name4 ,in a few of the spaces very light lines are made for the purpose of indicating that such overtones are quite weak4 ,for instance3 the piano has the sixth1 seventh1 and eighth thus marked2 these tones being suppressed by the mechanism1 as described on a former page4 ,only a few of the many forms of organ-pipes are given2 but these are sufficient to show what a physical difference there is between the musical tones in such pipes4 ,as for the human voice1 it is very rich in overtones2 but no two voices are alike1 therefore it would be impossible to tabulate the components of it in the manner they are tabulated for musical instruments4 ,in ,helmholtz's experiments in the analysis of sounds1 use was made of the principle of resonance of a body of air enclosed in a vessel4 ,in the experiment with the tuning-fork to determine the wave-length1 p4 #gh1 it is remarked that no response came until the volume of the air in the tube was reduced to a certain length1 which depended upon the vibration number of the fork4 ,if instead of a test-tube a bottle had been taken1 the result would have been the same4 ,every kind of a vessel can respond to some tone of a definite wave-length1 and a sphere has been found to give the best results4 ,these are made with a hole on one side for the sound-wave to enter1 and a projection on the opposite side1 through which a hole about the one-eighth of an inch is made1 this to be placed in the ear4 ,any sound that is made in front of the large orifice will not meet any response1 unless it be that particular one which the globe can naturally re-enforce1 when it will be plainly heard4 ,suppose1 then1 one has a series of twenty or more of these1 graduated to the proper size for re-enforcing sounds in the ratio of one1 two1 three1 four1 and so on4 ,take any instrument1 say a flute3 have one to blow it upon the proper pitch to respond to the largest sphere1 then take each of the spheres in their order1 applying them to the ear while the flute is being sounded4 ,when the overtones are present they will be heard plainly and distinct from the fundamental sound4 ,in like manner any or all other sounds may be studied4 ,but ,helmholtz did not stop after analyzing sounds of so many kinds3 he invented a method of synthesis1 by which the sounds of any kind of an instrument could be imitated4 ,a tuning-fork1 when made to vibrate by an electric current1 gives out a tone without harmonics or overtones4 ,so if a series of forks with vibration periods equal to the numbers of the series of overtones given on p4 #hf be so arranged that any of them may be made to vibrate at will1 it is evident that the resulting compound tone would be comparable with that from an instrument having such overtones4 ,thus1 if with a tuning-fork giving a fundamental ,c1 other forks giving two1 three1 and four times the number of the fundamental were associated1 each one giving a simple tone1 we should have for a resultant the tone of a flute1 as shown on p4 #ia4 ,if one1 three1 five1 seven1 and nine1 were all sounded1 the resulting tone would be that of the clarionet1 and so on4 ,this he actually accomplished1 and now makers of physical apparatus advertise just such instruments4 ,helmholtz also contrived a set of tuning-forks1 which1 when bowed1 will give out the vowel sounds like the voice4 ,it was remarked upon p4 #hi that it has generally been considered that age has a mellowing effect upon the sound of a violin4 ,once in possession of the facts concerning sound that have been alluded to on the preceding pages1 it is easy to see how such an opinion should arise1 and also the fallacy of it4 ,it is proved conclusively that the ability to hear high sounds decreases as one grows older4 ,as the violin gives a very great number of overtones1 even up to the limits of audibility1 it is plain that if such an instrument should not change in its quality of tone in the least degree1 yet to a man who played upon it for a number of years it would seem to change by subtracting some of the higher overtones from the sound2 that is1 it would seem to become mellower4 ,there is no evidence that such a physical change takes place in the instrument4 ,it is not here affirmed that no change does take place4 ,it may be probable2 but all the evidence we have is the opinions of individuals whose hearing we know does change2 and this change is competent to modify the judgment as to the quality of the sound in the same direction4 ,before it can be affirmed that such a physical change does take place in the violin as to make a perceptible difference in the quality of its tone1 it will be needful to determine accurately the number and intensity of the overtones at intervals during many years1 and then to compare them4 ,this has not yet been done4 ,,form ,,of ,a ,,compound ,,sound-,,wave ,,in ,,air4 ,upon p4 #fc is given a picture of the form of a simple sound-wave in air1 which1 as described1 consists of two parts1 a condensation and a rarefaction4 ,all simple sound-waves have such a form2 but when two or more sound-waves that stand in some simple ratio to each other1 as do the sounds of musical instruments1 are formed in air1 the resulting wave is more or less complex in structure2 and where there are many components1 as there are where a number of different kinds of instruments are all sounding at once1 it is well-nigh impossible to figure even approximately the form of such wave-combinations4 ,it is generally given in treatises upon sound with ordinates representing the factors with their relative intensities4 ,when the extremities of the ordinates are connected1 there is drawn a curved line with regularly recurring loops4 ,this cannot give a correct idea of the form of the wave1 because the motion of a particle of air is not up and down like a floating body upon waving water1 but it is forward and back1 in the direction of the motion of the wave4 ,in ,fig4 #aj three simple sound-waves are thus represented at #a1 #b1 and #c1 these having the wave-length #a1 #b1 and #c4 ,in #d1 the three are combined into one compound wave1 and better show the form of a transverse section of such a sound-wave in the air4 ,the organ-pipe called the principal gives out such a compound wave as is seen by referring to the table on p4 #ia4 ,the second overtone1 however1 is quite weak in that pipe1 which would so modify the form as to lessen somewhat the density at b1 and increase it at a4 ,illustration3 ,,fig4 #aj4 ,in like manner the space in the length of the fundamental sound1 whatever it may be1 is divided up into a number of minor condensations and rarefactions1 which may strengthen each other1 or so interfere as to change the position of both2 as is seen in the figure at b1 where the condensation due to wave #b interferes with the rarefaction of #c4 ,,correlation4 ,,having treated at some length of the three factors involved in telephony1--namely1 electricity1 magnetism1 and sound1--it remains to follow up the various steps that have led to the actual transmission of musical sounds and speech over an ordinary electric circuit4 ,it is stated upon p4 #ca1 that1 when a current of electricity is passed through a coil of wire that surrounds a rod of soft iron1 the latter is made a temporary magnet3 it loses its magnetic property the instant that the current ceases4 ,if the rod be of considerable size1 say a foot or more in length1 and half an inch or more in diameter1 and the current be strong enough to make a powerful magnet of it1 whenever the current from the battery is broken1 the bar may be heard to give out a single click4 ,this will happen as often as the current is broken4 ,this is occasioned by a molecular movement which results in a change of length of the bar4 ,when it is made a magnet1 it elongates about #a_/bejjj of its length2 and1 when it loses its magnetism1 it suddenly regains its original length2 and this change is accompanied with the sound4 ,this sound was first noticed by ,prof4 ,c4 ,g4 ,page of ,salem1 ,mass41 in #ahcg4 ,if some means be devised for breaking such a circuit more than fifteen or sixteen times a second1 we shall have a continuous sound with a pitch depending upon the number of clicks per second4 ,such a device was first invented by the same man1 and was accomplished by fixing the armature of an electro-magnet to a spring which was in the circuit when the spring was pressing against a metallic knob1 at which time the current made the circuit in the coil of the electro-magnet4 ,the magnet attracting the armature away from the button broke the circuit1 which of course destroyed the magnetism of the magnet1 and allowed the spring to fly back against the button1 to complete the circuit and reproduce the same series of changes4 ,the rapidity with which the current may be broken in this way is only limited by the strength of both spring and current4 ,the greater the tension of the spring with a given current1 the greater number of vibrations will it make4 ,illustration3 ,,fig4 #aa4 ,suppose such an intermittent current to pass through the coil surrounding the soft iron rod1 #bef times per second2 then the rod would evidently give #bef clicks per second1 which would have the pitch of ,c4 ,when these clicks are produced in the rod hold in the hand1 the sound is hardly perceptible1 being like that of a sounding tuning-fork when held thus4 ,in order to strengthen it1 it is necessary to place it on some resonant surface4 ,it is customary to mount it upon an oblong box with one or two holes in its upper surface1 inasmuch as such a form is found to give a louder response than any other1 and is the shape usually given to ,a,eolian harps4 ,the accompanying cut shows the combination of battery ,b1 the circuit-breaker1 and the rod mounted upon the box4 ,the wire ,w may evidently be of any length1 the magnetized rod and box responding to the number of vibrations of the spring ,s1 how long soever the circuit may be4 ,,helmholtz' ,,electric ,,interruptor4 ,in some of ,helmholtz' experiments1 it was essential to maintain the vibrations of a tuning-fork for a considerable time4 ,he effected this by placing a short electro-magnet between the prongs of the fork1 and affixing a platinum point at the end of one prong in such a manner1 that1 as the prong descended in its vibration1 the platinum point dipped into a small cup of mercury that completed the circuit4 ,when the prong receded1 it was of course withdrawn from the mercury1 and the current was broken4 ,as it is not possible for a tuning-fork to vibrate in more than one period1 such an arrangement would evidently make and break the current as many times per second as the fork vibrated4 ,when1 therefore1 such an interruptor is inserted in the circuit with the click-rod on its resonant box1 the latter must give out just such a sound as the fork is giving4 ,with such a device1 it is possible to reproduce at almost any distance in a telegraphic circuit1 a sound of a given pitch4 ,it is therefore a true telephone4 ,,reiss' ,,telephone4 ,the ease with which membranes are thrown into vibrations corresponding in period to that of the sounding body has already been alluded to on p4 #hj2 and several attempts have been made1 at different times1 to make membranes available in telephony4 ,the first of these attempts was made by ,philip ,reiss of ,friedrichsdorf1 ,germany1 in #ahfa4 ,his apparatus consisted of a hollow box1 with two apertures3 one in front1 in which was inserted a short tube for producing the sound in1 and indicated by the arrow in the cut1 ,fig4 #ab2 the other on the top4 ,this was covered with the membrane m1--a piece of bladder stretched tight over it4 ,upon the middle of the membrane1 a thin piece of platinum was glued2 and this piece of platinum was connected by a wire to a screw-cup from which another wire went to a battery4 ,illustration3 ,,fig4 #ab4 ,a platinum finger1 ,s1 rested upon the strip of platinum1 but was made fast at one end to the screw-cup that connected with the other wire from the battery4 ,now1 when a sound is made in the box1 the membrane is made to vibrate powerfully3 this makes the platinum strip to strike as often upon the platinum finger1 and as often to bound away from it1 thus making and breaking the current the same number of times per second4 ,if1 then1 a person sings into this box while it is in circuit with the afore-mentioned click-rod and box1 the latter will evidently change its pitch as often as it is changed by the voice4 ,in this apparatus we have a telephone with which a melody may be reproduced at a distance with distinctness4 ,but the sounds are not loud1 and they have a tin-trumpet quality4 ,if one reflects upon the possibilities of such a mechanism1 and upon the conditions necessary to produce a sound of any given quality1 as that of the voice or of a musical instrument as described in preceding pages1 he will understand that it can reproduce only pitch4 ,it might here be inferred that something more than a single pitch is transmitted if the sound is like that of a tin trumpet as stated3 but the reason of this is that1 whenever a current is passing between two surfaces that can move only slightly on each other1 there is always an irregularity in the conduction1 so as to produce a kind of scratching sound2 and it is this1 combined with the other1 the true pitch1 that gives the character to the sound of this instrument4 ,dr4 ,wright found that a sound of considerable intensity could be obtained by passing the interrupted current through the primary wire of a small induction coil1 and placing a conductor made of two sheets of silvered paper placed back to back in the secondary circuit4 ,the silvered paper becomes rapidly charged and discharged1 making a sound that can be heard over a large hall1 and having the same pitch as the sending instrument4 ,,gray',s ,,telephones4 ,in #ahgc ,mr4 ,elisha ,gray of ,chicago discovered that if an induction coil be made to operate by the current from any automatic circuit-breaker1 and one of the wires from the secondary circuit be held in the hand while the dry finger of the same hand is rubbed upon a sonorous metallic plate1 the other wire being in connection with the plate1 a musical sound would be given out by the plate1 appearing to come from the point of contact of the finger with the plate4 ,he therefore contrived a musical instrument with a range of two octaves1 in which the reeds were made to vibrate by electro magnets1 the current entering any one by depressing the appropriate key4 ,this circuit is sent through the primary wire of an induction coil while one of the terminals of the secondary coil is connected with the thin sheet metal that forms one head of a shallow wooden drum about eight inches in diameter1 which is so fixed as to be rotated like a pulley4 ,the other terminal is held in the hand while one finger of the same hand rests upon the metallic surface4 ,while the drum is turned with the other hand1 the sounds given out have considerable intensity4 ,the faster the drum is turned1 the louder do the sounds become1 though the pitch remains the same4 ,in this case1 as in the case mentioned on p4 #aje1 we have an electric current passing between two surfaces that are moving upon each other2 the contact not being uniform1 the current is varying as well as intermittent4 ,mr4 ,gray has also invented a musical telephone by means of which many musical sounds may be simultaneously transmitted and reproduced4 ,the actual mechanism used is quite complex1 and requires considerable familiarity with electrical science in order to understand it2 but the fundamental principle involved is not difficult to one who has comprehended the preceding descriptions4 ,suppose that we have a series of four steel reeds1 each one fixed at one end to one pole of a short electro-magnet1 while the other end is left free to vibrate over the other pole of the magnet and not quite touching it4 ,each of the reeds is to be tuned to a different pitch1 say the #a1 #c1 #e1 and #h of the scale4 ,these electro-magnets with their attached vibrators are to be attached each to a resonant box 7see p4 #ic71 which can respond to that particular number of vibrations per second4 ,this is the receiving instrument4 ,the sender consists of a like set of reeds tuned to the same pitch1 which can be made to vibrate at will by pressing a key which sends the current of electricity through its electro-magnet1 which makes and breaks the current4 ,imagine one of these keys to be pressed down so as to make the circuit complete3 the sending instrument then has one of its reeds1 let it be the #a of the scale1 set in vibration2 the intermittent current traverses the whole line1 going through all four of the receiving instruments4 ,now1 we know from the study of the action of sounding bodies1 that only one of the four receivers is competent to vibrate in consonance with this tone1 and this one will respond2 that is1 the vibrations are truly sympathetic vibrations4 ,if1 instead of making the #a of the scale in the sending-instrument1 the #c had been made1 the current would have gone through all of the receiving instruments just the same as before1 but only one of them could take up that vibratory movement3 three of them would remain at rest1 the #c responding loudly4 ,in like manner1 any number of vibrating reeds in the sending instrument can make a corresponding number of reeds in the receiving instrument to vibrate1 provided the latter be exactly tuned with the former4 ,each transmitter is connected with but a part of the battery1 so that several tones may be transmitted at the same time4 ,if the performer plays a piece of music in its various parts1 every part will be reproduced3 thus we have a compound or multiple telephone4 ,this instrument has been used during the past winter to give concerts in cities when the performer was in a distant place4 ,it has also been used as a multiple telegraph2 as many as eight operators sending messages simultaneously over the same wire1--four in each direction1--without the slightest interference4 ,,bell',s ,,telephone4 ,prof4 ,a4 ,graham ,bell of ,boston independently discovered the same means for producing multiple effects over the same wire2 but it appears he did not practically work it out as completely as did ,mr4 ,gray4 ,but while the latter was chiefly employed in perfecting the method as a telegraphic system1 ,prof4 ,bell had set before himself the more difficult problem of transmitting speech4 ,this he has actually accomplished1 as we have so often been reminded during the past year4 ,thoroughly conversant with the acoustic researches of ,helmholtz1 and keeping in mind the complex form of the air vibrations produced by the human voice1 he attempted to make these vibrations produce corresponding pulsations in an electric current in the manner analogous to the electric interrupter4 ,observing that membranes when properly stretched can vibrate to any kind of a sound1 he sought to utilize them for this purpose4 ,so did ,reiss2 but ,reiss inserted the vibrating membrane into the circuit1 and it was quite evident that such a plan would not answer1 therefore the current must not be broken2 but could an electric current be interfered with without breaking the connections8 ,the well-known re-actions of magnets upon electrical currents1 first noted by ,oersted1 and fully developed by ,faraday1 gave the clew to the solution4 ,a piece of iron should be made to vibrate by means of sound vibrations1 so as to affect an electro-magnet and induce corresponding electrical pulsations4 ,,first ,,form ,,of ,,speaking-,,telephone4 ,a membrane of gold-beater's skin was tightly stretched over the end of a speaking-tube or funnel2 on the middle of this membrane a piece of iron1 ,n ,s1 ,fig4 #ac1 was glued4 ,in front of this piece of iron an electro-magnet ,m is so situated that its poles are opposite to it1 but not quite touching it4 ,one of the terminal wires of the electro-magnet goes to the battery ,b2 the other goes to the receiving instrument ,r1 which consists of a tubular electro-magnet1 the coil being enclosed in a short tube of soft iron2 the wire thence goes to the plate ,e'1 which is sunk in the earth4 ,on the top of ,r1 at ,p1 is a rather loose1 thin disk of iron1 which acts as an armature to the electro-magnet below it4 ,illustration3 ,,fig4 #ac4 ,supposing that all the parts are thus properly connected1 the current of electricity from the battery makes both ,m and ,r magnetic2 the electro-magnet ,m will inductively make the piece of iron ,n ,s1 a magnet1 with its poles unlike those of the inducing electro-magnet2 and the two will mutually attract each other4 ,if now this piece of iron ,n ,s be made to move toward ,m1 a current of electricity will be induced in the coils1 which will traverse the whole circuit4 ,this induced electricity will consist of a single wave or pulse1 and its force will depend upon the velocity of the approach of ,n ,s to ,m4 ,a like pulse of electricity will be induced in the coils when ,n ,s is made to move away from ,m2 but this current will move through the circuit in the opposite direction1 so that whether the pulsation goes from ,m to ,r1 or from ,r to ,m1 depends simply upon the direction of the motion of ,n ,s4 ,the electricity thus generated in the wire by such vibratory movements varies in strength proportional to the movement of the armature2 therefore the line wire between two places will be filled with electrical pulsation exactly like the aerial pulsations in structure4 ,fig4 #aj1 p4 #ih1 may be used to illustrate the condition of the wire through which the currents pass4 ,the dark part may represent the strongest part of the wave1 while the lighter part would show the weaker part of the wave4 ,the chief difference would be1 that electricity travels so fast1 that what is there represented as one wave in air with a length of two feet would1 in an electric wave1 be more than fifty miles long4 ,these induced electric currents are but very transient 7see p4 #ca72 and their effect upon the receiver ,r is to either increase or decrease the power of the magnet there1 as they are in one direction or the other1 and consequently to vary the attractive power exercised upon the iron plate armature4 ,let a simple sound be now made in the tube1 consisting of #bef vibrations per second3 the membrane carrying the iron will vibrate as many times1 and so many pulses of induced electricity will be imposed upon the constant current1 which will each act upon the receiver1 and cause so many vibrations of the armature upon it2 and an ear held at ,p will hear the sound with the same pitch as that at the sending instrument4 ,if two or more sound-waves act simultaneously upon the membrane1 its motions must correspond with such combined motions2 that is1 its motions will be the resultant of all the sound-waves1 and the corresponding pulsations in the current must reproduce at ,r the same effect4 ,now1 when a person speaks in the tube1 the membrane is thrown into vibrations more complex in structure than those just mentioned1 differing only in number and intensity4 ,the magnet will cause responses from even the minutest motion2 and therefore an ear at ,r will hear what is said at the tube4 ,this was the instrument exhibited at the ,centennial ,exposition at ,philadelphia1 and concerning which ,sir ,william ,thompson said on his return to ,england1 ,this is the greatest by far of all the marvels of the electric telegraph4 ,the popular impression has been1 concerning the telephone1 that the sound was in some way conveyed over the wire4 ,it will be obvious to every one who may read this1 that such is very far from being the case4 ,the fact is1 it is a beautiful example of the convertibility of forces from one form to another4 ,there is first the initial vibratory mechanical motion of the air1 which is imparted to the membrane carrying the iron4 ,this motion is converted into electricity in the coil of wire surrounding the electro-magnet1 and at the receiving-end is first effective as magnetism1 which is again converted into vibratory motion of the iron armature1 which motion is imparted to the air1 and so becomes again a sound-wave in air like the original one4 ,this was the first speaking-telephone that was ever constructed1 so far as the writer is aware1 but it was not a practicable instrument4 ,many sounds were not reproduced at all1 and1 according to the report of the judges at the ,philadelphia ,exposition1 one needed to shout himself hoarse in order that he might be heard at all4 ,,the ,,author',s ,,telephone4 ,for several years past my regularly recurring duties have taken me over the various subjects treated of in this book1 and each one has been extensively illustrated in an experimental way1 and a considerable number of new pieces of apparatus and new experiments to exhibit their phenomena have been devised by me4 ,among these1 ,i would mention the following3-- #a4 ,measurement of the elongation of a magnetized bar4 #b4 ,a magneto-electric telegraph4 #c4 ,an electro-magnetic instrument for demonstrating the rotation of the earth4 #d4 ,the permanent magnetism of the magnetic phantom4 #e4 ,the convertibility of sound into electricity4 #f4 ,the induction of a vibrating magnet upon an electric circuit4 #g4 ,the origination of electric waves in a circuit by a sounding magnet4 #h4 ,the discovery of the action of the air in a sounding organ-pipe4 #i4 ,two or three methods for studying the vibrations of membranes4 #aj4 ,lissajous forks for enlarged projections of sound vibrations4 ,as soon1 therefore1 as ,i gave attention to the subject of telephony1 ,i was able1 with a few preliminary experiments1 to determine the proper conditions for the transmission of speech in an electric circuit2 and1 without the slightest knowledge of the mechanism which ,prof4 ,bell had used1 ,i devised the following arrangement for a speaking-telephone4 ,illustration3 ,,fig4 #ad4--,,my ,,first ,,speaking ,,telephone4 ,illustration3 ,,fig4 #ad4--;,,end ,,view4 ,my first speaking-telephone1 ,fig4 #ad1 consisted of a magnet made out of half-inch round steel bent into a ,u form1 having the poles about two inches apart4 ,over these were slipped two bobbins taken from an old telegraph register1 and were already fitted to a half-inch core4 ,these bobbins1 two inches and a half long1 were wound with cotton-covered copper wire1 ,no4 #bc1 each bobbin containing about #aej feet4 ,this magnet1 with the bobbins slipped upon its poles1 was made fast to a post two or three inches high4 ,the steel was made as strongly magnetic as was possible1 and would hold up three or four times its own weight4 ,in front of the poles1 a sheet of thin steel1 one-fiftieth of an inch thick1 was made fast to an upright board having a hole cut through it three and a half inches in diameter 7,fig4 #ad1 end view72 the plate was screwed tightly to this board1 so as to cover the hole2 and the middle of the hole was at the same height as the two poles of the magnet4 ,the wires from the two bobbins were connected1 as if to make an electro-magnet2 while the two free terminals were to be connected with the line-wires4 ,of course there were two of these instruments1 both alike2 and talking and singing were reproduced with these4 ,a very great number of experiments have been made to determine the best conditions for each of the essential parts1--the size and strength of the magnet1 the size of the bobbins1 as to length and fineness of wire1 the best thickness for the plate for absorbing the vibrations1 c42 and it is really surprising1 how little is the difference between very wide limits4 ,the following directions will enable any one to construct a speaking-telephone with which good results may be obtained4 ,the specifications will be for only one instrument2 though of course two instruments made alike will be necessary for any purposes of speaking or other signals4 ,illustration3 ,,fig4 #ae4 ,illustration3 ,,fig4 #af4 ,procure three common horse-shoe magnets about six inches long1 all of the same size2 these retail in the market at about a dollar apiece4 ,they should be strong enough to hold up several times their own weight each4 ,next1 have turned out of good hard wood1--such as maple or boxwood1--two spools not over half an inch long and an inch and a half broad1 the sides cut square both inside and out1 as shown at ,s1 ,fig4 #ae2 a hole the third of an inch in diameter is to be made through the spool4 ,into this hole is to be fitted a short rod of soft iron1 ,i1 about an inch long1 which should be a little rounded at the outer end4 ,the bobbins may be wound with as much insulated copper wire as they will hold4 ,the wire may be from the one-fortieth to the one-fiftieth of an inch in diameter1 as is most convenient to obtain1 the latter size being preferable4 ,the resistance of such bobbins will probably be from two to three ohms each4 ,the soft-iron core ,i must project backwards far enough to be clamped between the two outer magnets #a and #c1 while the inner one1 #b1 is drawn back4 ,when the bobbins are in their places1 and are clamped between the upper and lower magnets1 they will stand as shown in ,fig4 #af1 where the view is from above2 the magnets being buttoned down to the block they rest on 7see ,fig4 #ag71 which at the same time holds the soft-iron rods with the bobbins upon them4 ,the wires on these coils must be connected in the same way they would be in order to make opposite poles of their outer ends1 if a current of electricity were to be sent through the coils4 ,an upright board ,b 7,fig4 #ag7 six or seven inches square1 having a round hole four inches in diameter cut out from the middle of it1 must be fixed near the end of the base-board2 and over this hole is to be screwed tightly a piece of thin sheet iron or steel2 it may be from the one-twentieth to the one-fiftieth of an inch in thickness4 ,it does not seem to make much difference about the thickness of this plate4 ,i have generally got the best results from a plate one-fiftieth of an inch thick4 ,the upright board carrying this plate must be very rigid1 otherwise the plate will be kept tight to the magnets all the time2 and one of the conditions of success in working is1 that this plate shall be as close as possible to the magnet-ends1 but not to touch3 therefore fix the board tight1 and adjust the magnets by means of the button shown on top of them in the perspective figure4 ,illustration3 ,,fig4 #ag4 ,the sounds to be transmitted1 of whatever sort they may be1 are to be made on the side ,p1 ,fig4 #af2 and likewise1 when the instrument is used as a receiver1 the ear is to be applied at the same place4 ,a tube about two inches in diameter may be made fast to the front of the board1 in a line with the centre of the plate2 this will aid somewhat in hearing4 ,when two or three persons are to sing1 it will be best to have each one supplied with a tube to sing through2 one end of the tube to be placed close to the front of the plate4 ,the sound of musical instruments1 such as the flute and the cornet1 will be reproduced much louder1 if the front of such instrument be allowed to rest upon the rim of the hole in the board1 just in front of the plate4 ,it is noticeable that low talking can be heard more distinctly than when a great effort is made2 but the sounds though distinct are not strong at any time1 and other sounds seriously interfere with hearing4 ,it is probable that some way will hereafter be devised for increasing the usefulness of the invention by increasing the volume of sound4 ,on account of the weakness of the sound it becomes necessary to provide a call to attract the attention of one in the room4 ,this may be accomplished by having a small electric bell worked by a one or two cell battery4 ,another way which ,i have found to be quite as efficient is to have a rod of iron or steel about a foot long1 and half an inch in diameter1 bent into a ,u form4 ,when this is held by the bend1 and struck upon the floor or with a stick1 it vibrates powerfully2 and if one of its prongs be permitted to strike against the plate ,p1 ,fig4 #af1 the sound will be reproduced loud enough to hear over a large room4 ,i have never failed to call with this when any one was in the same room with the telephone4 ,wherever a telephone circuit has been made upon telegraph poles having other wires upon them1 the inductive actions of the currents upon the other wires has been found to seriously interfere with the action of the telephones1 inasmuch as the latter reproduce every other message4 ,one skilled in reading by sound in the ordinary way can read through the telephone what message is travelling in a neighboring wire4 ,messages may be thus read upon wires as far distant as ten feet from the telephone circuit4 ,it there fore seems to be essential that each telephone circuit should be isolated from every other one1 else there can be no secrecy in messages4 ,a very interesting effect was noticed one night when there was a bright aurora display4 ,there was a continuous current through the wires1 accompanied with sounds which increased in intensity as the bright streamers passed by4 ,this will probably lead to some important results in science4 ,in all probability the telephone is as much in its infancy as was ordinary telegraphy in #ahdj4 ,since that time the sciences of electricity and magnetism have had the most of their growth1 and telegraphy has kept pace with the advancing knowledge until its commercial importance is second to no other agency4 ,very many important principles that are invaluable in telegraphy to-day were wholly unknown in #ahdj2 but it may here be noted that in the telephone1 as it now is1 there is not a single principle that was not well enough known in #ahdj4 ,this will be apparent to one who follows out the phenomena from the sender to the receiver4 ,first1 the sound in air causing a corresponding movement in a solid body1 iron4 ,this iron1 acting inductively upon a magnet1 originates magneto-electric currents in a wire helix about it2 and these travel to another helix1 and1 re-acting upon the magnet in it1 have electro-magnetic effects1 and increase and decrease the strength of the magnet2 and this variable magnetism affects the plate of iron in front of that magnet1 and makes it to vibrate in a corresponding manner1 and thus to restore to the air in one place the vibrations absorbed from the air in another place4 ,to some it may seem strange that a simple thing as the telephone is1 involving nothing but principles familiar enough to every one interested in physical science1 should have waited nearly forty years to be invented4 ,the reason is probably this3 ,men of science1 as a rule1 do not feel called upon to apply the principles which they may discover4 ,they are content to be discovering1 not inventing4 ,now1 the schools of the country ought to make the youth quite familiar with the general principles of physical science1 that the inventive ones--and there are many such--may apply them intelligently4 ,mechanism is all that stands between us and aerial navigation2 all that is necessary to reproduce human speech in writing2 and all that is needed to realize completely the prophetic picture of the ,graphic1 of the orator who shall at the same instant address an audience in every city in the world4 99 99 99 99 99 ,transcriber's ,notes3 ,the musical flat symbol is represented in the text by flat4 ,page #ag1 propererties changed to properties 7there are other properties7 ,page #db1 muturally changed to mutually 7bodies would mutually7 ,page #ajf1 outby changed to out by 7given out by the7