images of public domain material from the ,google ,print project47 ,,the ,,energy ,,system ,,of ,,matter ,,the ,,energy ,,system ,,of ,,matter ,a ,,deduction ,,from ,,terrestrial ,,energy ,,phenomena ,,by ,,james ,,weir ,,with #ab ,,diagrams ,,longmans1 ,,green ,,and ,,co4 #ci ,,paternoster ,,row1 ,,london ,,new ,,york ,,bombay1 ,,and ,,calcutta #aiab ,all rights reserved ,,preface ,an intimate study of natural phenomena and a lengthened experience in physical research have resulted in the formation of certain generalisations and deductions which ,i now present in this volume4 ,i have reached the conclusion that every physical phenomenon is due to the operation of energy transformations or energy transmissions embodied in material1 and takes place under the action or influence of incepting energy fields4 ,in any instance the precise nature of the phenomena is dependent on the peculiar form of energy actively engaged1 on the nature of the material to which this energy is applied1 and on the nature of the incepting field which influences the process4 ,in the course of the work several concrete cases are discussed1 in which these features of energy are illustrated and explained by the use of simple experimental apparatus4 ,it is hoped that1 by this means1 the distinctive differences which exist in the manifestations of energy1 in its transformation1 in its transmission1 and in its incepting forms will be rendered clear to the reader4 ,i have to express my indebtedness to ,mr4 ,james ,affleck1 ,b4,sc41 for his assistance in the preparation of this work for publication4 ,,james ,,weir4 ,,over ,,courance1 ,,lockerbie1 ,,scotland4 ,,contents ,,page ,,introduction #a ,,part ,i ,,general ,,statement #a4 ,,advantages ,,of ,,general ,,view ,,of ,,natural ,,operations #g #b4 ,,separate ,,mass ,,in ,,space #h #c4 ,,advent ,,of ,,energy--,,distortional ,,effects #i #d4 ,,the ,,gravitation ,,field #aa #e4 ,,limits ,,of ,,rotational ,,energy--,,disruptional ,,phenomena #ac #f4 ,,passive ,,function ,,and ,,general ,,nature ,,of ,,gravitation ,,field #ag #g4 ,,limit ,,of ,,gravitation ,,transformation #ah #h4 ,,interactions ,,of ,,two ,,planetary ,,bodies--,,equilibrium ,,phenomena #ai #i4 ,,axial ,,energy--,,secondary ,,processes #bb #aj4 ,,mechanism ,,of ,,energy ,,return #bg #aa4 ,,review ,,of ,,cosmical ,,system--,,general ,,function ,,of ,,energy #bi #ab4 ,,review ,,of ,,cosmical ,,system--,,natural ,,conditions #ca ,,part ,,ii ,,principles ,,of ,,inception #ac4 ,,illustrative ,,secondary ,,processes #cd #ad4 ,,incepting ,,energy ,,influences #dj #ae4 ,,cohesion ,,as ,,an ,,incepting ,,influence #de #af4 ,,terrestrial ,,gravitation ,,as ,,an ,,incepting ,,influence #dh #ag4 ,,the ,,gravitation ,,field #ea #ah4 ,,the ,,thermal ,,field #ed #ai4 ,,the ,,luminous ,,field #eh #bj4 ,,transformations--,,upward ,,movement ,,of ,a ,,mass ,,against ,,gravity #fb #ba4 ,,transformations--,,the ,,simple ,,pendulum #fg #bb4 ,,statical ,,energy ,,conditions #fh #bc4 ,,transformations ,,of ,,the ,,moving ,,pendulum--,,energy ,,of ,,motion ,,to ,,energy ,,of ,,position ,,and ,,vice ,,versa #gb #bd4 ,,transformations ,,of ,,the ,,moving ,,pendulum--,,frictional ,,transformation ,,at ,,the ,,bearing ,,surfaces #gg #be4 ,,stability ,,of ,,energy ,,systems #gi #bf4 ,,the ,,pendulum ,,as ,a ,,conservative ,,system #ha #bg4 ,,some ,,phenomena ,,of ,,transmission ,,processes--,,transmission ,,of ,,heat ,,energy ,,by ,,solid ,,material #hd #bh4 ,,some ,,phenomena ,,of ,,transmission ,,processes--,,transmission ,,by ,,flexible ,,band ,,or ,,cord #hi #bi4 ,,some ,,phenomena ,,of ,,transmission ,,processes--,,transmission ,,of ,,energy ,,to ,,air ,,masses #ib #cj4 ,,energy ,,machines ,,and ,,energy ,,transmission #ie #ca4 ,,identification ,,of ,,forms ,,of ,,energy #ajg #cb4 ,,complete ,,secondary ,,cyclical ,,operation #aad ,,part ,,iii ,,terrestrial ,,conditions #cc4 ,,gaseous ,,expansion #aah #cd4 ,,gravitational ,,equilibrium ,,of ,,gases #abd #ce4 ,,total ,,energy ,,of ,,gaseous ,,substances #aca #cf4 ,,comparative ,,altitudes ,,of ,,planetary ,,atmospheres #ace #cg4 ,,reactions ,,of ,,composite ,,atmosphere #aci #ch4 ,,description ,,of ,,terrestrial ,,case #adc #ci4 ,,relative ,,physical ,,conditions ,,of ,,atmospheric ,,constituents #aej #dj4 ,,transmission ,,of ,,energy ,,from ,,aqueous ,,vapour ,,to ,,air ,,masses #aec #da4 ,,terrestrial ,,energy ,,return #afj #db4 ,,experimental ,,analogy ,,and ,,demonstration ,,of ,,the ,,general ,,mechanism ,,of ,,energy ,,transformation ,,and ,,return ,,in ,,the ,,atmospheric ,,cycle #agj #dc4 ,,application ,,of ,,pendulum ,,principles #aha #dd4 ,,extension ,,of ,,pendulum ,,principles ,,to ,,terrestrial ,,phenomena #ahh #de4 ,,concluding ,,review ,,of ,,terrestrial ,,conditions--,,effects ,,of ,,influx ,,of ,,energy #aib ,,the ,,energy ,,system ,,of ,,matter ,,introduction ,the main principles on which the present work is founded were broadly outlined in the author's ,terrestrial ,energy in #ahhc1 and also in a later paper in #ahib4 ,the views then expressed have since been amply verified by the course of events4 ,in the march of progress1 the forward strides of science have been of gigantic proportions4 ,its triumphs1 however1 have been in the realm1 not of speculation or faith1 but of experiment and fact4 ,while1 on the one hand1 the careful and systematic examination and co-ordination of experimental facts has ever been leading to results of real practical value1 on the other1 the task of the theorists1 in their efforts to explain phenomena on speculative grounds1 has become increasingly severe1 and the results obtained have been decreasingly satisfactory4 ,day by day it becomes more evident that not one of the many existing theories is adequate to the explanation of the known phenomena3 but1 in spite of this obvious fact1 attempts are still constantly being made1 even by most eminent men1 to rule the results of experimental science into line with this or that accepted theory4 ,the contradictions are many and glaring1 but speculative methods are still rampant4 ,they have become the fashion1 or rather the fetish1 of modern science4 ,it would seem that no experimental result can be of any value until it is deductively accommodated to some preconceived hypothesis1 until it is embodied and under the sway of what is practically scientific dogma4 ,these methods have permeated all branches of science more or less1 but in no sphere has the tendency to indulge in speculation been more pronounced than in that which deals with energetics4 ,in no sphere1 also1 have the consequences of such indulgence been more disastrous4 ,for the most part1 the current conceptions of energy processes are crude1 fanciful1 and inconsistent with ,nature4 ,they require for their support--in fact1 for their very existence--the acceptance of equally fantastic conceptions of mythical substances or ethereal media of whose real existence there is absolutely no experimental evidence4 ,on the assumed properties or motions of such media are based the many inconsistent and useless attempts to explain phenomena4 ,but1 as already pointed out1 ,nature has unmistakably indicated the true path of progress to be that of experimental investigation4 ,in the use of this method only phenomena can be employed1 and any hypothesis which may be formulated as the result of research on these lines is of scientific value only in so far as it is the correct expression of the actual facts observed4 ,by this method of holding close to ,nature reliable working hypotheses can1 if necessary1 be formed1 and real progress made4 ,it is undeniably the method of true science4 ,in recent years much attention has been devoted to certain speculative theories with respect to the origin and ultimate nature of matter and energy4 ,such hypotheses1 emanating as they do from prominent workers1 and fostered by the inherent imaginative tendency of the human mind1 have gained considerable standing4 ,but it is surely unnecessary to point out that all questions relating to origins are essentially outside the pale of true science4 ,any hypotheses which may be thus formulated have not the support of experimental facts in their conclusions2 they belong rather to the realm of speculative philosophy than to that of science4 ,in the total absence of confirmatory phenomena1 such theories can1 at best1 only be regarded as plausible speculations1 to be accepted1 it may be1 without argument1 and ranking in interest in the order of their plausibility4 ,of modern research into the ultimate constitution of matter little requires to be said4 ,it is largely founded on certain radio-active and electrical phenomena which1 in themselves1 contribute little information4 ,but aided by speculative methods and the use of preconceived ethereal hypotheses1 various elaborate theories have been formulated1 explaining matter and its properties entirely in terms of ethereal motions4 ,such conceptions in their proper sphere--namely1 that of metaphysics--would be no doubt of interest1 but when advanced as a scientific proposition or solution they border on the ridiculous4 ,in the absence of phenomena bearing on the subject1 it would seem that the last resort of the modern scientist lies in terminology4 ,to the average seeker after truth1 however1 the term matter1 as applied to the material world1 will still convey as much meaning as the more elaborate scientific definitions4 ,it is not the purpose of this work to add another thread to the already tangled skein of scientific theory4 ,it is written1 rather1 with the conviction1 that it is impossible ever to get really behind or beyond phenomena2 in the belief that the complete description of any natural process is simply the complete description of the associated phenomena1 which may always be observed and co-ordinated but never ultimately explained4 ,phenomena must ever be accepted simply as phenomena--as the inscrutable manifestations of ,nature4 ,by induction from phenomena it is indeed possible to rise to working hypotheses1 and thence1 it may be1 to general conceptions of ,nature's order1 and as already pointed out1 it is to this method1 of accepting phenomena1 and of reasoning only from experimental facts1 that all the advances of modern science are due4 ,on the other hand1 it is the neglect of this method--the departure1 as it were1 from ,nature--which has led to the introduction into the scientific thought of the day of the various ethereal media with their extreme and contradictory properties4 ,the use of such devices really amounts to an admission of direct ignorance of phenomena4 ,they are1 in reality1 an attempt to explain natural operations by a highly artificial method1 and1 having no basis in fact1 their whole tendency is to proceed1 in ever-increasing degree1 from one absurdity to another4 ,it is quite possible to gain a perfectly true and an absolutely reliable knowledge of the properties of matter and energy1 and the part which each plays1 without resorting to speculative aids4 ,all that is required is simply accurate and complete observation at first hand4 ,the field of research is wide2 all ,nature forms the laboratory4 ,by this method every result achieved may be tested and verified1 not by its concurrence with any approved theory1 however plausible1 but by direct reference to phenomena4 ,the verdict of ,nature will be the final judgment on every scheme4 ,it is on these principles1 allied with the great generalisations with respect to the conservation of matter and energy1 that this work is founded4 ,as the result of a long1 varied1 and intimate acquaintance with ,nature1 and much experimental research in many spheres1 the author has reached the conclusion1 already foreshadowed in ,terrestrial ,energy1 that the great principle of energy conservation is true1 not only in the universal and generally accepted sense1 but also in a particular sense with respect to all really separate bodies1 such as planetary masses in space4 ,each of these bodies1 therefore1 forms within itself a completely conservative energy system4 ,this conclusion obviously involves the complete denial of the transmission of energy in any form across interplanetary space1 and the author1 in this volume1 now seeks to verify the conclusion by the direct experimental evidence of terrestrial phenomena4 ,under present-day conditions in science1 the acceptance of the ordinary doctrine of transmission across space involves likewise the acceptance of the existence of an ethereal substance which pervades all space and forms the medium by which such transmission is carried out4 ,the properties of this medium are1 of course1 precisely adapted to its assumed function of transmission4 ,these properties it is not necessary to discuss1 for when the existence of the transmission itself has been finally disproved1 the necessity for the transmitting medium clearly vanishes4 ,,part ,i ,,general ,,statement #a4 ,advantages of ,general ,view of ,natural ,operations ,the object of this statement is to outline and illustrate1 in simple fashion1 a broad and general conception of the operation and interaction of matter and energy in natural phenomena4 ,such a conception may be of value to the student of ,nature1 in several ways4 ,in modern times the general tendency of scientific work is ever towards specialisation1 with its corresponding narrowness of view4 ,a broad outlook on ,nature is thus eminently desirable4 ,it enables the observer to perceive to some extent the links uniting the apparently most insignificant of natural processes to those of seemingly greater magnitude and importance4 ,in this way a valuable idea of the natural world as a whole may be gained1 which will1 in turn1 tend generally to clarify the aspect of particular operations4 ,a broad general view of ,nature also leads to the appreciation of the full significance of the great doctrines of the conservation of matter and energy4 ,by its means the complete verification of these doctrines1 which appears to be beyond human experiment1 may be traced on the face of ,nature throughout the endless chain of natural processes4 ,such a view also leads to a firm grasp of the essential nature and qualities of energy itself so far as they are revealed by its general function in phenomena4 #b4 ,separate ,mass in ,space ,in the scheme now to be outlined1 matter and energy are postulated at the commencement without reference to their ultimate origin or inherent nature4 ,they are accepted1 in their diverse forms1 precisely as they are familiar from ordinary terrestrial experience and phenomena4 ,for the purpose of general illustration the reader is asked to conceive a mass of heterogeneous matter1 concentrated round a given point in space1 forming a single body4 ,this mass is assumed to be assembled and to obtain its coherent form in virtue of that universal and inherent property of matter1 namely1 gravitative or central attraction4 ,this property is independent of precise energy conditions1 its outward manifestation being found simply in the persistent tendency of matter on all occasions to press or force itself into the least possible space4 ,in the absence of all disturbing influences1 therefore1 the configuration of this mass of matter1 assumed assembled round the given point1 would naturally1 under the influence of this gravitative tendency1 resolve itself into that of a perfect sphere4 ,the precise magnitude or dimensions of the spherical body thus constituted are of little moment in the discussion1 but1 for illustrative purposes1 it may1 in the meantime1 be assumed that in mass it is equivalent to our known solar system4 ,it is also assumed to be completely devoid of energy1 and as a mass to be under the influence of no external constraint4 ,under these conditions1 the spherical body may obviously be assumed as stationary in space1 or otherwise as moving with perfectly uniform velocity along a precisely linear path4 ,either conception is justifiable4 ,the body has no relative motion1 and since it is absolutely unconstrained no force could be applied to it and no energy expenditure would be required for its linear movement4 #c4 ,advent of ,energy--,distortional ,effects ,nature1 however1 does not furnish us with any celestial or other body fulfilling such conditions4 ,absolutely linear motion is unknown1 and matter is never found divorced from energy4 ,to complete the system1 therefore1 the latter factor is required1 and1 with the advent of energy to the mass1 its prototype may be found in the natural world4 ,this energy is assumed to be communicated in that form which we shall term work energy 7,secs4 #ac1 #ca7 and which1 as a form of energy1 will be fully dealt with later4 ,this work energy is assumed to be manifested1 in the first place1 as energy of motion4 ,as already pointed out1 no expenditure of energy can be associated with a linear motion of the mass1 since that motion is under no restraint1 but in virtue of the initial central attraction or gravitative strain1 the form of energy first communicated may be that of kinetic energy of rotation4 ,its transmission to the mass will cause the latter to revolve about some axis of symmetry within itself4 ,each particle of the mass thus pursues a circular path with reference to that axis1 and has a velocity directly proportional to its radial displacement from it4 ,this energised rotating spherical mass is thus the primal conception of the energy scheme now to be outlined4 ,it will be readily seen that1 as a primal conception1 it is essentially and entirely natural2 so much so1 indeed1 that any one familiar with rotatory motion might readily predict from ordinary experience the resulting phenomena on which the scheme is1 more or less1 based4 ,when energy is applied to the mass1 the first phenomenon of note will be that1 as the mass rotates1 it departs from its originally spherical shape4 ,by the action of what is usually termed centrifugal force1 the rotating body will be distorted2 it will be flattened at the polar or regions of lowest velocity situated at the extremities of the axis of rotation1 and it will be correspondingly distended at the equatorial or regions of highest velocity4 ,the spherical body will1 in fact1 assume a more or less discoidal form according to the amount of energy applied to it2 there will be a redistribution of the original spherical matter2 certain portions of the mass will be forced into new positions more remote from the central axis of rotation4 #d4 ,the ,gravitation ,field ,these phenomena of motion are the outward evidence of certain energy processes4 ,the distortional movement of the material is carried out against the action and within the field of certain forces which exist in the mass of material in virtue of its gravitative or cohesive qualities4 ,it is carried out also in virtue of the application of energy to the sphere1 which energy has been1 as it were1 transformed or worked down1 in the distortional movement1 against the restraining action of this gravitation field or influence4 ,the outward displacement of the material from the central axis is thus coincident with a gain of energy to the mass1 this gain of energy being1 of course1 at the expense of1 and by the direct transformation of1 the originally applied energy4 ,it is stored in the distorted material as energy of position1 potential energy1 or energy of displacement relative to the central axis4 ,but1 in the distortive movement1 the mass will also gain energy in other forms4 ,the movement of one portion of its material relative to another will give rise 7since it is carried out under the gravitational influence7 to a fractional process in which1 as we know from terrestrial experience1 heat and electrical energy will make their appearance4 ,these forms of energy will give rise1 in their turn1 to all the phenomena usually attendant on their application to material4 ,as already pointed out also1 the whole mass gains1 in varying degree1 energy of motion or kinetic energy4 ,it would appear1 then1 that although energy was nominally applied to the mass in one form only1 yet by its characteristic property of transformation it has in reality manifested itself in several entirely different forms4 ,it is important to note the part played in these transformation processes by the gravitation field or influence4 ,its action really reveals one of the vital working principles of energetics4 ,this principle may be generally stated thus3-- ,,every ,,transformation ,,of ,,energy ,,is ,,carried ,,out ,,by ,,the ,,action ,,of ,,energised ,,matter ,,in ,,the ,,lines ,,or ,,field ,,of ,,an ,,incepting ,,energy ,,influence4 ,in the particular case we have just considered1 the incepting field is simply the inherent gravitative property of the energised mass4 ,this property is manifested as an attractive force between portions of matter4 ,this1 however1 is not of necessity the only aspect of an incepting influence4 ,in the course of this work various instances of transformation will be presented in which the incepting influence functions in a guise entirely different4 ,it is important to note that the incepting influence itself is in no way changed1 altered1 or transformed during the process of transformation which it influences4 #e4 ,limits of ,rotational ,energy4 ,disruptional ,phenomena ,it is clear that the material at different parts of the rotating spheroid will be energised to varying degrees4 ,since the linear velocity of the material in the equatorial regions of the spheroid is greater than that of the material about the poles1 the energy of motion of the former will exceed that of the latter1 the difference becoming greater as the mass is increasingly energised and assumes more and more the discoidal form4 ,the question now arises as to how far this process of energising the material mass may be carried4 ,what are its limits8 ,the capacity of the rotating body for energy clearly depends on the amount of work which may be spent on its material in distorting it against the influence of the gravitative attraction4 ,the amount is again dependent on the strength of this attraction4 ,but the value of the gravitative attraction or gravitation field is1 by the law of gravitation1 in direct proportion to the quantity of material or matter present1 and hence the capacity of the body for energy depends on its mass or on the quantity of matter which composes it4 ,now if energy be impressed on this mass beyond its capacity a new order of phenomena appears4 ,distortion will be followed by disruption and disintegration4 ,by the action of the disruptive forces a portion of the primary material will be projected into space as a planetary body4 ,the manner of formation of such a secondary body is perhaps best illustrated by reference to the commonplace yet beautiful and suggestive phenomenon of the separation of a drop of water or other viscous fluid under the action of gravitation4 ,in this process1 during the first downward movement of the drop1 it is united to its source by a portion of attenuated material which is finally ruptured1 one part moving downwards and being embodied in the drop whilst the remainder springs upwards towards the source4 ,in the process of formation of the planetary body we are confronted with an order of phenomena of somewhat the same nature4 ,the planetary orb which is hurled into space is formed in a manner similar to the drop of viscous fluid1 and under the action of forces of the same general nature4 ,one of these forces is the bond of gravitative attraction between planet and primary which is never severed1 and when complete separation of the two masses finally occurs1 the incessant combination of this force with the tangential force of disruption acting on the planet will compel it into a fixed orbit1 which it will pursue around the central axis4 ,when all material links have thus been severed1 the two bodies will then be absolutely separate masses in space4 ,the term separate is here used in its most rigid and absolute sense4 ,no material connection of any kind whatever exists1 either directly or indirectly1 between the two masses4 ,each one is completely isolated from the other by interplanetary space1 and in reality1 so far as material connection is concerned1 each one might be the sole occupant of that space4 ,this conception of separate masses in space is of great importance to the author's scheme1 but1 at the same time1 the condition is one which cannot be illustrated by any terrestrial experimental contrivance4 ,it will be obvious that such a device1 as might naturally be conceived1 of isolating two bodies by placing them in an exhausted vessel or vacuous space1 by no means complies with the full conditions of true separation portrayed above1 because some material connection must always exist between the enclosed bodies and the containing vessel4 ,this aspect is more fully treated later 7,sec4 #cj74 ,the condition of truly separate masses is1 in fact1 purely a celestial one4 ,no means whatever are existent whereby such a condition may be faithfully reproduced in a terrestrial environment4 ,in their separate condition the primary and planetary mass will each possess a definite and unvarying amount of energy4 ,it is to be noted also1 that since the original mass of the primary body has been diminished by the mass of the planet cast off1 the capacity for energy of the primary will now be diminished in a corresponding degree4 ,any further increment of energy to the primary in any form has now1 however1 no direct influence on the energy of the planet1 which must maintain its position of complete isolation in its orbit4 ,but although thus separate and distinct from the primal mass in every material respect1 the planet is ever linked to it by the invisible bond of gravitation1 and every movement made by the planet in approaching or receding from the primary is made in the field or influence of this attraction4 ,in accordance1 therefore1 with the general principle already enunciated 7,sec4 #d71 these actions or movements of the energised planetary mass1 being made in the field of the incepting gravitative influence1 will be accompanied by transformations1 and thus the energy of the planet1 although unvarying in its totality1 may vary in its form or distribution with the inward or outward movement of the planet in its orbital path4 ,as the planet recedes from the primary it gains energy of position1 but this gain is obtained solely at the expense1 and by the direct transformation of its own orbital energy of motion4 ,its velocity in its orbit must1 therefore1 decrease as it recedes from the central axis of the system1 and increase as it approaches that axis4 ,thus from energy considerations alone it is clear that1 if the planetary orbit is not precisely circular1 the velocity of the planet must vary at different points of its path4 #f4 ,passive ,function and ,general ,nature of ,gravitation ,field ,from the phenomena described above1 it will be observed that1 in the energy processes of transformation occurring in both primary and planet1 the function of the gravitation field or influence is entirely passive in nature4 ,the field is1 in truth1 the persistent moving or directing power behind the energy processes1 the incepting energy influence or agency which determines the nature of the transformation in each case without being1 in any way1 actively engaged in it4 ,in accelerating or retarding the transformation process it has thus absolutely no effect4 ,these features are controlled by other factors4 ,neither does this incepting agency affect1 in any way1 the limits of the transformation process1 these limits being prescribed by the physical or energy qualities of the acting materials4 ,in general nature the gravitation field appears to be simply an energy influence--a peculiar manifestation of certain passive qualities of energy4 ,this aspect will1 however1 become clearer to the reader when the properties of gravitation are studied in conjunction with those of other incepting energy influences 7,secs4 #ag1 #ah1 #ai74 #g4 ,limit of ,gravitation ,transformation ,in the case of a planetary body1 there is a real limit to the extent of the transformation of its orbital energy of motion under the influence of the gravitation field4 ,as the orbit of the planet widens1 and its mean distance from the primary becomes greater1 its velocity in its orbital path must correspondingly decrease4 ,as already pointed out 7,sec4 #e71 this decrease is simply the result of the orbital energy of motion being transformed or worked down into energy of position4 ,but since this orbital energy is strictly limited in amount1 a point must ultimately be reached where it would be transformed in its entirety into energy of position4 ,when this limiting condition is attained1 the planet clearly could have no orbital motion2 it would be instantaneously at rest in somewhat the same way as a projectile from the earth's surface is at rest at the summit of its flight in virtue of the complete transformation of its energy of motion into energy of position4 ,in this limiting condition1 also1 the energy of position of the planet would be the maximum possible1 and its orbital energy zero4 ,the scope of the planetary orbital path is thus rigidly determined by the planetary energy properties4 ,assuming the reduction of gravity with distance to follow the usual law of inverse squares1 the value of the displacement of the planet from the central axis when in this stationary or limiting position may be readily calculated if the various constants are known4 ,in any given case it is obvious that this limiting displacement must be a finite quantity1 since the planetary orbital energy which is being worked down is itself finite in amount4 #h4 ,interactions of ,two ,planetary ,bodies--,equilibrium ,phenomena ,up to the present point1 the cosmical system has been assumed to be composed of one planetary body only in addition to the primary mass4 ,it is clear1 however1 that by repetition of the process already described1 the system could readily evolve more than one planet2 it might1 in fact1 have several planetary masses originating in the same primary1 each endowed with a definite modicum of energy1 and each pursuing a persistent orbit round the central axis of the system4 ,since the mass of the primary decreases as each successive planet is cast off1 its gravitative attractive powers will also decrease1 and with every such decline in the central restraining force the orbits of the previously constituted planets will naturally widen4 ,by the formation in this way of a series of planetary masses1 the material of the original primary body would be as it were distributed over a larger area or space1 and this separation would be accompanied by a corresponding decrease in the gravitative attraction between the several masses4 ,if the distributive or disruptive process were carried to its limit by the continuous application of rotatory energy to each separate unit of the system1 this limit would be dependent on the capacity of the system for energy4 ,as is shown later 7,sec4 #bj71 this capacity would be determined by the mass of the system4 ,for simplicity1 let us consider the case in which there are two planetary bodies only in the system in addition to the primary4 ,in virtue of the gravitative attraction or gravitation field between the two1 they will mutually attract one another in their motion1 and each will1 in consequence1 be deflected more or less out of that orbital path which it would normally pursue in the absence of the other4 ,this attraction will naturally be greatest when the planets are in the closest proximity2 the planet having the widest orbit will then be drawn inwards towards the central axis1 the other will be drawn outwards4 ,the distance moved in this way by each will depend on its mass1 and on the forces brought to bear on it by the combined action of the two remaining masses of the system4 ,moving thus in different directions1 the motion of each planet is carried out in the lines of the gravitation field between the two4 ,one planet1 therefore1 gains and the other loses energy of position with respect to the central axis of the system4 ,the one planet can thus influence1 to some extent1 the energy properties of the other1 although there is absolutely no direct energy communication between the two2 as shown hereafter1 the whole action and the energy change will be due simply to the motion carried out in the field of the incepting gravitation influence4 ,it is clear1 however1 that this influence is exerted on the distribution of the energy1 on the form in which it is manifested1 and in no way affects the energy totality of either planet4 ,each1 as before1 remains a separate system with conservative energy properties4 ,that planet which loses energy of position gains energy of motion1 and is correspondingly accelerated in its orbital path2 the other1 in gaining energy of position1 does so at the expense of its own energy of motion1 and is retarded accordingly4 ,the action is really very simple in nature when viewed from a purely energy standpoint4 ,it has been dealt with in some detail in order to emphasise the fact that there is absolutely nothing in the nature of a transmission of energy between one planet and the other4 ,taking a superficial view of the operation1 it might be inferred that1 as the planets approach one another1 energy of motion 7or energy of position7 is transmitted from one to the other1 causing one to retard and the other to accelerate its movement1 but a real knowledge of the energy conditions shows that the phenomenon is rather one of a simple restoration of equilibrium1 a redistribution or transformation of the intrinsic energy of each to suit these altering conditions4 ,each planet is1 in the truest sense1 a separate mass in space4 #i4 ,axial ,energy--,secondary ,processes ,passing now to another aspect of the energy condition of a planetary body1 let the planet be assumed to be endowed with axial energy or energy of rotation1 so that1 while pursuing its orbital path in space1 it also rotates with uniform angular velocity about an axis within itself4 ,what will be the effect of the primary mass on the planet under these new energy conditions8 ,we conceive that the effect is again purely one of transformation4 ,in this process the primary mass functions once more as an entirely passive or incepting agent1 which1 while exerting a continuous transforming influence on the planet1 does not affect in any way the inherent energy properties of the latter4 ,up to the present point we have only dealt with one incepting influence in transformation processes1 namely1 that of gravitation1 which has always been manifested as an attractive force4 ,it is not to be supposed1 however1 that this is the only aspect in which incepting influences may be presented4 ,although attractive force is certainly an aspect of some incepting influences1 it is not a distinctive feature of incepting influences generally4 ,in many cases1 the aspect of force1 in the sense of attraction or repulsion1 is entirely awanting4 ,in the new order of transformations which come into play in virtue of the rotatory motion of a planetary mass in the field of its primary1 we shall find other incepting influences in action entirely different in nature from the gravitation influence1 but1 nevertheless1 arising from the same primary mass in a similar way4 ,now the application of energy to the planet1 causing it to rotate in the lines or under the influence of these incepting fields of the primary1 brings into existence on the planet an entirely new order of phenomena4 ,so long as the planet had no axial motion of rotation1 some of the incepting influences of the primary were compelled1 as it were1 to inaction2 but with the advent of axial energy the conditions are at once favourable to their action1 and to the detection of their transforming effects4 ,in accordance with the general principle already enunciated 7,sec4 #d71 the action of the planetary energised material in the lines of the various incepting fields of the primary is productive of energy transformations4 ,the active energy of these transformations is the axial or rotatory energy of the planet itself1 and1 in virtue of these transformations1 certain other forms of energy will be manifested on the planet and associated with the various forms of planetary material4 ,these manifestations of energy1 in fact1 constitute planetary phenomena4 ,since the action or movement of the rotating material of the planet through the incepting fields of the primary is most pronounced in the equatorial or regions of highest linear velocity1 and least in the regions of low velocity adjoining the poles of rotation1 the transforming effect may naturally be expected to decrease in intensity from equator to poles4 ,planetary energy phenomena will thus vary according to the location of the acting material4 ,it will be clear1 also1 that each incepting agency or influence associated with the primary mass will give rise to its own peculiar transformations of axial energy on the planetary surface4 ,these leading or primary transformations of axial energy1 in which the incepting influence is associated with the primary mass only1 we term primary processes4 ,but it is evident that the various forms of energy thus set free on the planet as a result of the primary processes will be communicated to1 and will operate on1 the different forms of planetary material1 and will give rise to further or secondary transformations of energy1 in which the incepting agency is embodied in or associated with planetary material only4 ,the exact nature of these secondary transformations will vary according to the circumstances in which they take place4 ,each of them1 however1 as indicated above1 will be1 in itself1 carried out in virtue of some action of the energised planetary material in the lines or field of what we might term a secondary incepting influence4 ,the latter1 however1 must not be confused with the influences of the primary4 ,it is essentially a planetary phenomenon1 an aspect of planetary energy2 it is associated with the physical or material machine by means of which the secondary process of transformation is carried out4 ,the nature of this secondary influence will determine the nature of the secondary transformation in each case4 ,its precise extent may be limited by other considerations 7,sec4 #ae74 ,as an example1 assume a portion of the axial energy to be primarily transformed into heat in virtue of the planet's rotation in the field of an independent thermal incepting influence exerted by the primary4 ,to the action of this agency1 which we might term the thermal field1 we assume are due all primary heating phenomena of planetary material4 ,now the secondary transformations will take place when the heat energy thus manifested is applied to some form of matter4 ,it is obvious1 however1 that this application might be carried out in various ways4 ,heat may be devoted to the expansion of a solid against its cohesive forces4 ,it may be expended against the elastic forces of a gas1 or it may be worked down against chemical or electrical forces4 ,in every case a transformation of energy will result1 varying in nature according to the peculiar conditions under which it is carried out4 ,in this or a similar fashion each primary incepting influence may give rise to a series of secondary actions more or less complex in nature4 ,these secondary transformation processes1 allied with other processes of transmission1 will1 in fact1 constitute the visible phenomena of the planet1 and in their variety will exactly correspond to these phenomena4 ,with regard to the gravitation field1 its general influence on the rotating mass may be readily predicted4 ,the material on that part of the planetary surface which is nearest to or happens to face the primary in rotation is1 during the short time it occupies that position1 subjected to a greater attractive influence than the remainder which is more remote from the primary4 ,it will1 in consequence1 tend to be more or less distorted or elevated above its normal position on the planetary surface4 ,this distorting effect will vary in degree according to the nature of the material1 whether solid1 liquid1 or gaseous1 but the general effect of the distortional movement1 combined with the rotatory motion of the planet1 will be to produce a tidal action or a periodical rise and fall of the more fluid material distributed over the planetary surface4 ,the distortion will1 of course1 be accompanied by energy processes in which axial energy will be transformed into heat and other forms1 which will finally operate in the secondary processes exactly as in previous cases4 #aj4 ,mechanism of ,energy ,return ,but the question now arises1 as to how this continuous transformation of the axial energy can be consistent with that condition of uniformity of rotation of the planet which was originally assumed4 ,if the total energy of the planetary mass is limited1 and if it can receive no increment of energy from any external source1 it is clear that the axial energy transformed must1 by some process1 be continuously returned to its original form4 ,some process or mechanism is evidently necessary to carry out this operation4 ,this mechanism we conceive to be provided by certain portions of the material of the planet1 principally the gaseous matter which resides on its surface1 completely enveloping it1 and extending outwards into space 7,sec4 #ch74 ,in other words1 the atmosphere of the planet forms the machine or material agency by which this return of the transformed axial energy is carried out4 ,it has already been pointed out 7,sec4 #i7 how the working energy of every secondary transformation is derived from the original axial energy of the planet itself4 ,each of these secondary transformations1 however1 forms but one link of one cyclical chain of secondary transformations1 in which a definite quantity of energy1 initially in the axial form1 passes1 in these secondary operations1 through various other forms1 by different processes and through the medium of different material machines1 until it is eventually absorbed into the atmosphere of the planet4 ,these complete series of cyclical operations1 by which the various portions of axial energy are carried to the atmosphere1 may in some cases be of a very simple nature1 and may be continuously repeated over very short intervals of time2 in other cases1 the cycle may seem obscure and complicated1 and its complete operation spread over very long periods1 but in all cases the final result is the same4 ,the axial energy abstracted1 sooner or later1 recurs to the atmospheric machine4 ,by its action in this machine1 great masses of gaseous material are elevated from the surface of the planet against the attractive force of gravitation2 the energy will thus now appear in the form of potential energy or energy of position4 ,by a subsequent movement of these gaseous masses over the surface of the planet from the regions of high velocity towards the poles1 combined with a movement of descent to lower levels1 the energy of position with which they were endowed is returned once more in the original axial form4 ,this1 roughly1 constitutes the working of the planetary atmospheric machine1 which1 while in itself completely reversible and self-contained1 forms also at the same time the source and the sink of all the energy working in the secondary transformations4 ,in the ceaseless rounds of these transformations which form planetary phenomena it links together the initial and concluding stages of each series by a reversible process4 ,energy is thus stored and restored continuously4 ,the planet thus neither gains nor loses energy of axial motion2 so far as its energy properties are concerned1 it is entirely independent of every external influence4 ,its uniformity of rotation is absolutely maintained4 ,each planet of the system will1 in the same way1 be an independent and conservative unit4 #aa4 ,review of ,cosmical ,system--,general ,function of ,energy ,reviewing the system as a whole1 the important part played by energy in its constitution is readily perceived4 ,the source of the energy which operates in all parts of the system is found in that energy originally applied 7,sec4 #c74 ,when the system is finally constituted1 this energy is found distributed amongst the planets1 each of which has received its share1 and each of which is thereby linked to the primary by its influence4 ,it is part of this same energy which undergoes transformation in virtue of the orbital movements of the planets in the field of the gravitative influence4 ,again1 it is found in the form of planetary axial energy1 and thence1 under the influence of various incepting agencies1 it passes in various forms through the whole gamut of planetary phenomena1 and finally functions in the atmospheric machine4 ,every phenomenon of the system1 great or small1 is1 in fact1 but the external evidence either of the transformation or of the transmission of this energy--the outward manifestation of its changed or changing forms4 ,its presence1 which always implies its transformation 7,sec4 #d71 is the simple primary condition attached to every operation4 ,the primal mass originally responded to the application of energy by the presentation of phenomena4 ,every material portion of the system will similarly respond according to circumstances4 ,energy is1 in fact1 the working spirit of the whole cosmical scheme4 ,it is the influence linking every operation of the system to the original transformations at the central axis1 so that all may be combined into one complete and consistent whole4 ,it is to be noted1 however1 that although they have a common origin the orbital energy of each planetary mass is entirely distinct from its energy of axial rotation1 and is not interchangeable therewith4 ,the transformation of the one form of energy in no way affects the totality of the other4 ,the disruption of the primary mass furnishes a view of what is virtually the birth of gravitation as it is conceived to exist between separate bodies4 ,it may now be pointed out that the attractive influence of gravitation is1 in reality1 but one of the many manifestations of energy of the system4 ,it is not1 however1 an active manifestation of the working energy1 but rather an aspect of energy as it is related to the properties of matter4 ,we have absolutely no experimental experience of matter devoid of energy4 ,gravitation might readily be termed an energy property of matter1 entirely passive in nature1 and requiring the advent of some other form in order that it may exercise its function as an incepting agency4 ,from a general consideration of the features of this system1 in which every phenomenon is an energy phenomenon1 it seems feasible to conclude also that every property of matter is likewise an energy property4 ,it is certain1 indeed1 that no reasonable or natural concept of either matter or energy is possible if the two be dissociated4 ,the system also presents a direct and clear illustration of the principles of conservation in the working of the whole1 and also in each planetary unit4 #ab4 ,natural ,conditions ,it will be noted that1 up to the present point1 the cosmical system has been discussed from a purely abstract point of view4 ,this method has been adopted for a definite reason4 ,although able1 at all points1 to bring more or less direct evidence from ,nature1 the author has no desire that his scheme should be regarded in any way as an attempt to originate or describe a system of creation4 ,the object has been1 by general reasoning from already accepted properties of matter and energy1 to arrive at a true conception of a possible natural order of phenomena4 ,it is obvious1 however1 that the solar system forms the prototype of the system described above4 ,the motion of the earth and other planets is continuously occurring under the influence of gravitation1 thermal1 luminous1 and other incepting fields which link them to the central mass1 the sun4 ,as a result of the action of such fields1 energy transformations arise which form the visible phenomena of the system in all its parts1 each transformation1 whether associated with animate or inanimate matter1 being carried out through the medium of some arrangement of matter hereafter referred to as a material machine4 ,the conditions are precisely as laid down above4 ,the system is dominated1 in its separate units1 and as a whole1 by the great principle of the conservation of energy4 ,each planetary mass1 as it revolves in space1 is1 so far as its energy properties are concerned1 an absolutely conservative unit of that system4 ,at the same time1 however1 each planetary mass remains absolutely dependent on the primary for those great controlling or incepting influences which determine the transformation of its inherent energy4 ,in the special case of the earth1 which will be dealt with in some detail1 it is the object of this work to show that its property of complete energy conservation is amply verified by terrestrial phenomena4 ,the extension of the principle from the earth to the whole planetary system has been made on precisely the same grounds as ,newton extended the observed phenomena to his famous generalisation with respect to gravitation4 ,,part ,,ii ,,principles ,,of ,,inception #ac4 ,illustrative ,secondary ,processes ,in this part of the work1 an attempt will be made to place before the reader some of the purely terrestrial and other evidential phenomena on which the conclusions of the preceding ,general ,statement are founded4 ,the complete and absolute verification of that ,statement is obviously beyond experimental device4 ,bound1 as we are1 within the confines of one planet1 and unable to communicate with the others1 we can have no direct experimental acquaintance with really separate bodies 7,sec4 #e7 in space4 ,but1 if from purely terrestrial experience we can have no direct proofs on such matters1 we have strong evidential conclusions which cannot be gainsayed4 ,if the same kind of energy operates throughout the solar system1 the experimental knowledge of its properties gained in one field of research is valuable1 and may be readily utilised in another4 ,the phenomena which are available to us for study are1 of course1 simply the ordinary energy processes of the earth--those operations which in the foregoing ,statement have been described as secondary energy processes4 ,their variety is infinite1 and the author has accordingly selected merely a few typical examples to illustrate the salient points of the scheme4 ,the energy acting in these secondary processes is1 in every case1 derived1 either directly or indirectly1 from the energy of rotation or axial energy of the earth4 ,in themselves1 the processes may be either energy transformations or energy transmissions or a combination of both these operations4 ,when the action involves the bodily movement of material mass in space1 the dynamical energy thus manifested1 and which may be transmitted by the movement of this material1 is termed mechanical or work energy 7,sec4 #ca72 when the energy active in the process is manifested as heat1 chemical1 or electrical energy1 we apply to it the term molecular energy4 ,the significance of these terms is readily seen4 ,the operation of mechanical or work energy on a mass of material may readily proceed without any permanent alteration in the internal arrangement or general structure of that mass4 ,mechanical or work energy is dissociated from any molecular action4 ,on the other hand1 the application of such forms of energy as heat or electrical energy to material leads to distinctly molecular or internal effects1 in which some alteration in the constitution of the body affected may ensue4 ,hence the use of the terms1 which of course is completely arbitrary4 ,the principal object of this part of the work is to illustrate clearly the general nature1 the working1 and the limits of secondary processes4 ,for this purpose1 the author has found it best to refer to certain more or less mechanical contrivances4 ,the apparatus made use of is merely that utilised in everyday work for experimental or other useful purposes4 ,it is essentially of a very simple nature2 no originality is claimed for it1 and no apology is offered for the apparent simplicity of the particular energy operations chosen for discussion4 ,in fact1 this feature has rather led to their selection4 ,in scientific circles to-day1 familiarity with the more common instances of energy operations is apt to engender the belief that these processes are completely understood4 ,there is no greater fallacy4 ,in many cases1 no doubt1 the superficial phenomena are well known1 but in even the simplest instances the mechanism or ultimate nature of the process remains unknown4 ,a free and somewhat loose method of applying scientific terms is frequently the cloak which hides the ignorance of the observer4 ,no attempt will here be made to go beyond the simple phenomena4 ,the object in view is simply to describe such phenomena1 to emphasise and explain certain aspects of already well-known facts1 which1 up to the present1 have been neglected4 ,in some of the operations now to be described1 mechanical or work energy is the active agent1 and material masses are thereby caused to execute various movements in the lines or field of restraining influences4 ,for ordinary experimental convenience1 the material thus moved must of necessity be matter in the solid form4 ,the illustrative value of our experimental devices1 however1 will be very distinctly improved if it be borne in mind that the operations of mechanical energy are not restricted to solids only1 but that the various processes of transformation and transmission here illustrated by the motions of solid bodies may1 in other circumstances1 be carried out in a precisely similar fashion by the movements of liquids or even of gases4 ,the restrictions imposed in the method of illustration are simply those due to the limitations of human experimental contrivance4 ,natural operations exhibit apparatus of a different type4 ,by the movements of solid materials a convenient means of illustration is provided1 but it is to be emphasised that1 so far as the operations of mechanical energy are concerned1 the precise form or nature of the material moved1 whether it be solid1 liquid1 or gaseous1 is of no consequence4 ,to raise one pound of lead through a given distance against the gravitative attraction of the earth requires no greater expenditure of energy than to raise one pound of hydrogen gas through the same distance4 ,the same principle holds in all operations involving mechanical energy4 ,another point of some importance which will be revealed by the study of secondary operations is that every energy process has in some manner definite energy limits imposed upon it4 ,in the workings of mechanical or work energy it is the mass value of the moving material which1 in this respect1 is important4 ,the mass1 in fact1 is the real governing factor of the whole process 7,sec4 #bj74 ,it determines the maximum amount of energy which can be applied to the material1 and thus controls the extent of the energy operation4 ,but in actions involving the molecular energies1 the operation may be limited by other considerations altogether4 ,for example1 the application of heat to a solid body gives rise to certain energy processes 7,sec4 #bg74 ,these processes may proceed to a certain degree with increase of temperature1 but a point will finally be attained where change of state of the heated material takes place4 ,this is the limiting point of this particular operation4 ,when change of state occurs1 the phenomena will assume an entirely different aspect4 ,the first set of energy processes will now be replaced by a set of operations absolutely different in nature1 themselves limited in extent1 but by entirely different causes4 ,the first operation must thus terminate when the new order appears4 ,in this manner each process in which the applied energy is worked will be confined within certain limiting boundaries4 ,in any chain of energy operations each link will thus have1 as it were1 a definite length4 ,in chemical reactions1 the limits may be imposed in various ways according to the precise nature of the action4 ,chemical combination1 and chemical disruption1 must be looked on as operations which involve not only the transformation of energy but also the transformation of matter4 ,in most cases1 chemical reactions result in the appearance of matter in an entirely new form--in the appearance1 in fact1 of actually different material1 with physical and energy properties absolutely distinct from those of the reacting constituents4 ,this appearance of matter in the new form is usually the evidence of the termination1 not only of the particular chemical process1 but also of the energy process associated with it4 ,transformation of energy may thus be limited by transformation of matter4 ,examples of the limiting features of energy operations could readily be multiplied4 ,even a cursory examination of most natural operations will reveal the existence of such limits4 ,in no case do we find in ,nature any body1 or any energy system1 to which energy may be applied in unlimited amount1 but in every case1 rigid energy limits are imposed1 and1 if these limits are exceeded1 the whole energy character of the body or system is completely changed4 #ad4 ,incepting ,energy ,influences ,in experimental and in physical work generally1 it has been customary1 in describing any simple process of energy transformation1 to take account only of those energies or those forms of energy which play an active part in the process--the energy in its initial or applied form and the energy in its transformed or final form4 ,this method1 however1 requires enlarging so as to include another feature of energy transformation1 a feature hitherto completely overlooked1 namely1 that of incepting energy4 ,now1 this conception of incepting energy1 or of energy as an incepting influence1 is of such vital importance to the author's scheme1 that it is necessary here1 at the very outset1 to deal with it in some detail4 ,to obtain some idea of the general nature of these influences1 it will be necessary to describe and review a few simple instances of energy transformation4 ,one of the most illuminating for this purpose is perhaps the familiar process of dynamo-electric transformation4 ,a spherical mass ,a 7,fig4 #a7 of copper is caused to rotate about its central axis in the magnetic field in the neighbourhood of a long and powerful electro-magnet4 ,in such circumstances1 certain well-known transformations of energy will take place4 ,the energy transformed is that dynamical or work energy which is being applied to the spherical mass by the external prime mover causing it to rotate4 ,as a result of this motion in the magnetic field1 an electrical action takes place2 eddy currents are generated in the spherical mass1 and the energy originally applied is1 through the medium of the electrical process1 finally converted into heat and other energy forms4 ,the external evidence of the process will be the rise in temperature and corresponding expansion of the rotating mass4 ,illustration3 ,,fig4 #a ,such is the energy transformation4 ,let us now review the conditions under which it takes place4 ,passing over the features of the work energy applied and the energy produced in the transformation1 it is evident that the primary and essential condition of the whole process is the presence of the magnetic field4 ,in the absence of this influence1 every other condition of this particular energy operation might have been fulfilled without result4 ,the magnetic field is1 in reality1 the determining agency of the process4 ,but this field of magnetic force is itself an energy influence4 ,its existence implies the presence of energy2 it is the external manifestation of that energy 7usually described as stored in the field7 which is returned1 as shown by the spark1 when the exciting circuit of the electro-magnet is broken4 ,the transformation of the dynamical or work energy 7,sec4 #ca7 applied to the rotating sphere is thus carried out by the direct agency1 under the power1 or within the field of this magnetic energy influence1 to which1 accordingly1 we apply the expression1 incepting energy influence1 or incepting energy4 ,there are several points to be noted with regard to these phenomena of inception4 ,in the first place1 it is clear that the energy which thus constitutes the magnetic field plays no active part in the main process of transformation3 during the operation it neither varies in value nor in nature3 it is entirely a passive agent4 ,neither is any continuous expenditure of energy required for the maintenance of this incepting influence4 ,it is true that the magnetic field is primarily due to a circulatory current in the coils or winding of the electro-magnet1 but after the initial expenditure of energy in establishing that field is incurred1 the continuous expenditure of energy during the flow of the current is devoted to simply heating the coils4 ,a continuous heat transformation is thus in progress4 ,the magnetic energy influence1 although closely associated with this heat transformation1 yet represents in itself a distinct and separate energy feature4 ,this last point is1 perhaps1 made more clear if it be assumed that1 without altering the system in any way1 the electro-magnet is replaced by a permanent magnet of precisely the same dimensions and magnetic power4 ,there would then be no energy expenditure whatever for excitation1 but nevertheless1 the main transformation would take place in precisely the same manner and to exactly the same degree as before4 ,the incepting energy influence is found in the residual magnetism4 ,if an iron ball or sphere were substituted1 in the experiment1 for the copper one1 the phenomena observed on its rotation would be of an exactly similar nature to those described above4 ,there is1 however1 one point of difference4 ,since the iron is magnetic1 the magnet pole will now exert an attractive force on the iron mass1 and if the latter were in close proximity to the pole 7,fig4 #a71 a considerable expenditure of energy might be required to separate the two4 ,it is evident1 then1 that in the case of iron and the magnetic metals1 this magnetic influence is such that an expenditure of energy is required1 not only to cause these materials to move in rotation so as to cut the lines of the field of the magnetic influence1 but also to cause them to move outwards from the seat of the influence along the lines of the field4 ,the movements1 indeed1 involve transformations of energy totally different in nature4 ,assuming the energy to be obtained1 in both cases1 from the same external source1 it is1 in the first instance1 converted by rotatory motion in the field into electrical and heat energy1 whereas1 in the second case1 by the outward motion of displacement from the pole1 it is transformed and associated with the mass in the form of energy of position or energy of displacement relative to the pole4 ,since the attractive force between the iron mass and the pole may be assumed to diminish according to a well-known law1 the energy transformation per unit displacement will also diminish at the same rate4 ,the precise nature and extent of the influence of the incepting agent thus depend on the essential qualities of the energised material under its power4 ,in this case1 the magnetic metals1 such as iron1 provide phenomena of attraction which are notably absent in the case of the dia-magnetic metals such as copper4 ,other substances1 such as wood1 appear to be absolutely unaffected by any movement in the magnetic field4 ,the precise energy condition of the materials in the field of the incepting influence is also an important point4 ,the incepting energy might be regarded as acting1 not on the material itself1 but rather on the energy associated with that material4 ,from the phenomena already considered1 it is clear that before the incepting influence of magnetism can act on the copper ball1 the latter must be endowed with energy of rotation4 ,it is on this energy1 then1 that the incepting influence exerts its transforming power4 ,it would be useless to energise the copper ball1 say by raising it to a high temperature1 and then place it at rest in the magnetic field2 the magnetic energy influence would not operate on the heat energy1 and consequently1 no transformation would ensue4 ,it is easy to conceive1 also1 that in the course of an energy transformation1 the material may attain an energy condition in which the incepting influence no longer affects it4 ,take once more the case of the iron ball4 ,it is well known that1 at a high temperature1 iron becomes non-magnetic4 ,it would follow1 then1 that if the rotational transformation in the magnetic field could be carried out to the requisite degree1 so that1 by the continuous application of that heat energy which is the final product of the process1 the ball had attained this temperature1 then the other transformation consequent on the displacement of the ball from the attracting pole could not take place4 ,no change has really occurred in the incepting energy conditions4 ,they are still continuous and persistent1 but the energy changes in the material itself have carried it1 to a certain degree1 beyond the influence of these conditions4 #ae4 ,cohesion as an ,incepting ,influence ,other aspects of incepting energy may be derived from the examples cited above4 ,returning to the case of the rotating copper sphere1 let it be assumed that in consequence of its rotation in the magnetic field it is raised from a low to a high temperature4 ,due to the heating effect alone1 the mass will expand or increase in volume4 ,this increase is the evidence of a definite energy process by which certain particles or portions of the mass have in distortion gained energy of position--energy of separation--or potential energy relative to the centre of the sphere4 ,in fact1 if the mass were allowed to cool back to its normal condition1 this energy might by a suitable arrangement be made available for some form of external work4 ,it is obvious1 however1 that this new energy of position or separation which has accrued to the mass in its heated condition has in reality been obtained by the transformation of the work energy originally applied4 ,the abnormal displacement of certain particles or portions of the mass from the centre of the sphere is simply the external evidence of their increased energy4 ,now this displacement1 or strain1 due to the heat expansion1 is carried out against the action of certain cohesive forces or stresses existing between the particles throughout the mass4 ,these cohesive forces are1 in fact1 the agency which determines this transformation of heat into energy of position4 ,their existence is essential to the process4 ,but these cohesive forces are simply the external manifestation of that energy by virtue of which the mass tends to maintain its coherent form4 ,they are the symbol of that energy which might be termed the cohesion energy of the mass--they are1 in fact1 the symbol of the incepting energy influence of the transformation4 ,this incepting energy influence of cohesion is one which holds sway throughout all solid material4 ,it is1 therefore1 found in action in every movement involving the internal displacement or distortion of matter4 ,it is a property of matter1 and accordingly it is found to vary not only with the material1 but also with the precise physical condition or the energy state of the material with which it is associated4 ,in this respect1 it differs entirely from the preceding magnetic influence4 ,the latter1 we have seen1 has no direct association with the copper ball1 or with the material which is the actual venue of the transformation4 ,as an energy influence1 it is itself persistent1 and unaffected by the energy state of that material4 ,on the other hand1 the cohesion energy1 being purely a property of the material which is the habitat of the energy process1 is directly affected by its energy state4 ,this point will be clearer by reference to the actual phenomena of the heat transformation4 ,as the process proceeds1 the temperature of the mass as the expansion increases will rise higher and higher1 until1 at a certain point1 the solid material is so energised that change of state ensues4 ,at this1 the melting-point of the material1 liquefaction takes place1 and its cohesive properties almost vanish4 ,in this fashion1 then1 a limit is clearly imposed on the process of heat transformation in the solid body--a limit defined by the cohesive or physical properties of the particular material4 ,in this limiting power lies the difference between cohesion and magnetism as incepting influences4 ,looking at the whole dynamo-electric transformation in a general way1 it will be clear that the magnetic influence in no way limits or affects the amount of dynamical or work energy which may be applied to the rotating sphere4 ,this amount is limited simply by the cohesive properties of the material mass in rotation4 ,the magnetic influence might1 in fact1 be regarded as the primary or inducing factor in the system1 and the cohesion influence as the secondary or limiting factor4 #af4 ,terrestrial ,gravitation as an ,incepting ,influence ,the attractive influence of gravitation appears as an incepting agency in terrestrial as well as in celestial phenomena4 ,in fact1 of all the agencies which incept energy transformations on the earth1 gravitation1 in one form or another1 is the most universal and the most important4 ,gravitation being a property of all matter1 no mundane body1 animate or inanimate1 is exempt from its all-pervading influence1 and every movement of energised matter within the field of that influence leads inevitably to energy transformation4 ,let us take a concrete illustration4 ,a block of solid material is supported on a horizontal table4 ,by means of a cord attached1 energy is applied to the block from an external source1 so that it slides over the surface of the table4 ,as a result of this motion and the associated frictional process1 heat energy will make its appearance at the sliding surfaces of contact4 ,this heat energy is obviously obtained by the transformation of that energy originally applied to the block from the external source4 ,what is the incepting influence in this process of transformation8 ,the incepting influence is clearly the gravitative attraction of the earth operating between the moving block and the table4 ,the frictional process1 it is well known1 is dependent in extent or degree on the pressure between the surfaces in contact4 ,this pressure is1 of course1 due to the gravitative attraction of the earth on the mass of the block4 ,if it be removed1 say by supporting the block from above1 the heat-transformation process at the surfaces at once terminates4 ,gravity1 then1 is the primary incepting influence of the process4 ,the effect of gravitation in transformation has apparently been eliminated by supporting the block from above and removing the pressure between block and table4 ,it is not really so1 however1 because the pressure due to the gravitative attraction of the earth on the block has in reality only been transferred to this new point of support1 and if a movement of the block is carried out it will be found that the heat transformation has been also transferred to that point4 ,but there are also other influences at work in the process4 ,the extent of the heat transformation depends1 not only on the pressure1 but also on the nature of the surfaces in contact4 ,it is evident1 that in the sliding movement the materials in the neighbourhood of the surfaces in contact will be more or less strained or distorted4 ,this distortion is carried out in the lines of the cohesive forces of the materials1 and is the real mechanism of the transformation of the applied work energy into heat4 ,it is obvious that the nature of the surfaces in contact must influence the degree of distortion1 that is1 whether they are rough or smooth2 the cohesive qualities of the materials in contact will depend also on the nature of these materials1 and the extent of the heat transformation will be limited by these cohesive properties in precisely the same way as described for other examples 7,sec4 #ae74 ,the function of gravitation in this transformation is1 obviously1 again quite passive in nature1 and is in no way influenced by the extent of the process4 ,gravitation is1 as it were1 only the agency whereby the acting energy is brought into communication with the cohesive forces of the sliding materials4 ,a little reflection will convey to the reader the vast extent of this influence of gravitation in frictional phenomena1 and the important place occupied by such phenomena in the economy of ,nature4 ,from the leaf which falls from the tree to the mighty tidal motions of air1 earth1 and sea due to the gravitative effects of the sun and moon1 all movements of terrestrial material are alike subject to the influence of terrestrial gravitation1 and will give rise to corresponding heat processes4 ,these heat processes are continually in evidence in natural phenomena2 the effect of their action is seen alike on the earth's surface and in its interior 7internal heating74 ,of the energy operating in them we do not propose to say anything further at this stage1 except that it is largely communicated to the atmospheric air masses4 #ag4 ,the ,gravitation ,field ,the foregoing examples of transformation serve to place before the reader some idea of the general nature and function of an incepting energy influence4 ,but for the broadest aspects of the latter agencies it is necessary to revert once more to celestial phenomena4 ,as already indicated in the ,general ,statement1 the primary transformations of planetary axial energy are stimulated by certain agencies inherent to1 and arising from1 the central mass of the system4 ,these energy agencies or effects operate through space1 and are entirely passive in nature4 ,they are in no way associated with energy transmission2 they are merely the determining causes of the energy-transforming processes which they induce1 and do not in the least affect the conservative energy properties of the planetary masses over which their influence is cast4 ,of the precise number and nature of such influences thus exerted by the primary mass we can say nothing4 ,the energy transformations which are the direct result of their action are so extensive and so varied in character that we would hesitate to place any limit on the number of the influences at work4 ,some of these influences1 however1 being associated with the phenomena of everyday experience1 are more readily detected in action than others and more accessible to study4 ,it is to these that we naturally turn in order to gain general ideas for application to more obscure cases4 ,of the many incepting influences1 therefore1 which may emanate from the primary mass there are three only which will be dealt with here4 ,each exerts a profound action on the planetary system1 and each may be readily studied and its working verified by the observation of common phenomena4 ,these influences are respectively the gravitation1 the thermal1 and the luminous fields4 ,the general nature and properties of the gravitation field have to some extent been already foreshadowed 7,secs4 #d1 #f1 #af74 ,other examples will be dealt with later1 and it is unnecessary to go into further detail here4 ,the different aspects1 however1 in which the influence has been presented may be pointed out4 ,firstly1 in the separate body in space1 as an inherent property of matter 7,sec4 #b72 secondly1 as an attractive influence exerted across space between primary and planet1 both absolutely separate bodies 7,sec4 #e72 and thirdly1 as a purely planetary or secondary incepting influence 7,sec4 #af74 ,in every case alike we find its function to be of an entirely passive nature4 ,its most powerful effect on planetary material is perhaps manifested in the tidal actions 7,sec4 #i74 ,with respect to these movements1 it may be pointed out that the planetary material periodically raised from the surface is itself elevated against the inherent planetary gravitative forces1 and also1 to a certain extent1 against the cohesive forces of planetary material4 ,each of these resisting influences functions as an incepting agency1 and thus the elevation of the mass involves a transformation of energy 7,sec4 #d74 ,the source of the energy thus transformed is the axial energy of the planet1 and the new forms in which it is manifested are energy of position or potential energy relative to the planetary surface1 and heat energy4 ,on the return of the material to its normal position1 its energy of position1 due to its elevation1 will be returned in its original form of axial energy4 ,in the case of the heat transformation1 however1 it is to be noted that this process will take place both as the material is elevated and also as it sinks once more to its normal position4 ,the heat transformation thus operates continuously throughout the entire movement4 ,the upraising of the material in the tidal action is brought about entirely at the expense of inherent planetary axial energy4 ,the gravitative and cohesive properties of the planetary material make such a transformation process possible4 ,it is in virtue of these properties that energy may be applied to or expended on the material in this way4 ,the tidal action on the planetary surface is1 in fact1 simply a huge secondary process in which axial energy is converted into heat4 ,the primary incepting power is clearly gravitation4 ,of the aspect of gravitation as a purely planetary influence 7,sec4 #af7 little requires to be said4 ,the phenomena are so prominent and familiar that the reader may be left to multiply instances for himself4 #ah4 ,the ,thermal ,field ,the thermal field which is induced by and emanates from the primary mass differs from the gravitation field in that1 so far as we know1 it is unaccompanied by any manifestation of force1 attractive or otherwise4 ,its action on the rotating planetary mass may be compared to that of the electro-magnet on the rotating copper sphere 7,sec4 #ad72 the electro-magnet exerts no force on the sphere1 but an energy expenditure is1 nevertheless1 required to rotate the latter through the field of the magnetic influence4 ,to this thermal field1 then1 in which the planets rotate1 we ascribe all primary planetary heating phenomena4 ,the mode of action of the thermal field appears to be similar to that of other incepting influences4 ,by its agency the energy of axial rotation of planetary material is directly converted into the heat form4 ,as already shown 7,sec4 #ag71 heat energy may be developed in planetary material as a result of the action of other incepting agencies1 such as gravitation4 ,these processes are1 however1 more or less indirect in nature4 ,but the operation due to the thermal field is a direct one4 ,the heat energy is derived from the direct transformation of planetary axial energy of rotation without passing through any intermediate forms4 ,in common parlance1 the thermal field is the agency whereby the primary mass heats the planetary system4 ,no idea of transmission1 however1 is here implied in such phraseology2 the heating effect produced on any planetary mass is entirely the result of the transformation of its own energy2 the thermal field is purely and simply the incepting influence of the process4 ,now1 in virtue of the configuration of the rotating planetary masses1 their material in equatorial regions is much more highly energised than the material in the neighbourhood of the poles1 and will1 accordingly1 move with much greater linear velocity through the thermal field4 ,the heat transformation will vary accordingly4 ,it will be much more pronounced at the equator than at the poles1 and a wide difference in temperature will be maintained between the two regions4 ,the thermal field1 also1 does not necessarily produce the same heating effect on all planetary material alike4 ,some materials appear to be peculiarly susceptible--others much less so4 ,this we may verify from terrestrial experience4 ,investigation shows the opaque substances to be generally most susceptible1 and the transparent materials1 such as glass1 rock-salt1 tourmaline1 c4 almost insusceptible1 to the heating effect of the sun4 ,the influence of the thermal field can1 in fact1 operate through the latter materials4 ,a still more striking and important phenomenon may be observed in the varying action of the thermal field on matter in its different forms4 ,it has been already pointed out that1 in the course of transformation in the field of an incepting influence1 a material may attain a certain energy state in which it is no longer susceptible to that influence4 ,this has been exemplified in the case of the iron ball 7,sec4 #ad7 and a phenomenon of the same general nature is revealed in the celestial transformation4 ,a piece of solid material of low melting-point is brought from the polar regions of the earth to the equator4 ,due to the more rapid movement across the sun's thermal field1 and the consequent increased action of that field1 a transformation of the axial energy of rotation of the body takes place1 whereby it is heated and finally liquefied4 ,in the liquid state the material is still susceptible to the thermal field1 and the transformation process accordingly proceeds until the material finally assumes the gaseous form4 ,at this point1 however1 it is found that the operation is suspended2 the material1 in assuming the gaseous state1 has now attained a condition 7,sec4 #ae7 in which the thermal field has no further incepting or transforming influence upon it4 ,no transformation of its axial energy into the heat form is now possible by this means2 indeed1 so far as the direct heating effect of the sun is concerned1 the free gaseous material on the planetary surface is entirely unaffected4 ,all the evidence of ,nature points to the conclusion that all gaseous material is absolutely transparent to the direct thermal influence of the sun4 ,matter in the gaseous form reaches1 as it were1 an ultimate or limiting condition in this respect4 ,this fact1 that energised material in the gaseous form is not susceptible to the thermal field1 is of very great importance in the general economy of ,nature4 ,it is1 in reality1 the means whereby the great primary process of the transformation of the axial energy of the earth into the heat form is limited in extent4 ,as will be explained later1 it is the device whereby the planetary energy stability is conserved4 ,it will be apparent1 of course1 that heat energy may be readily applied to gaseous masses by other means1 such as conduction or radiation from purely terrestrial sources4 ,the point which we wish here to emphasise is1 simply1 that gaseous material endowed with axial energy on the planetary surface cannot have this axial energy directly transformed into heat through the instrumentality of the thermal field of the primary4 #ai4 ,the ,luminous ,field ,the planetary bodies are indebted to the primary mass not only for heat phenomena1 but also for the phenomena of light4 ,these light phenomena are due to a separate and distinct energy influence 7or influences7 which we term the luminous field4 ,the mode of action of the luminous field is similar to that of other incepting influences4 ,it operates from the primary1 and is entirely passive in nature4 ,like the thermal field1 it does not appear to be accompanied by any manifestation of physical stress or force1 except1 indeed1 the experimental demonstrations of the pressure of light can be regarded as such4 ,in any case1 this in no way affects the general action of light as an incepting agency4 ,its action on energised planetary material gives rise to certain transformations of energy1 transformations exclusive and peculiar to its own influence4 ,we will refer to terrestrial phenomena for illustrations of its working4 ,perhaps the commonest example of transformation in which the luminous field appears as the incepting agency is seen in the growth of plant life on the surface of the earth4 ,the growth and development of vegetation and plants generally is the outward evidence of certain energy transformations4 ,the processes of growth1 however1 are of such a complex nature that it is impossible to state the governing energy conditions in their entirety1 but1 considering them merely in general fashion1 it may be said that energy in various forms 7potential1 chemical1 c47 is stored in the tissues of the growing material4 ,now the source of this energy is the axial energy of the earth1 and1 as stated above1 the luminous field is an incepting factor 7there may be others7 in the process of transformation1 a factor whereby this axial energy is converted into certain new forms4 ,it is well known that1 amongst the factors which influence the growth of vegetation1 one of the most potent is that of light4 ,the presence of sunlight is one of the essential conditions for the successful working of certain transformations of plant life1 and these transformations vary not only in degree but in nature1 according to the variation of the imposed light in intensity and quality4 ,some of the processes of growth are no doubt chemical in nature4 ,here1 again1 light may be readily conceived to have a direct determining influence upon them1 exactly as in the cases of its well-known action in chemical phenomena--for instance1 as in photography4 ,other examples will readily occur to the reader4 ,one of the most interesting is the action of light on the eye itself4 ,it may be pointed out indeed that light is1 first and foremost1 a phenomenon of vision4 ,whatever may be its intrinsic nature1 it is primarily an influence affecting the eye4 ,but the action of seeing1 like all other forms of human activity1 involves a certain expenditure of bodily energy4 ,this energy is1 of course1 primarily derived from the axial energy of the earth through the medium of plant and animal life and the physico-chemical processes of the body itself4 ,its presence in one form or another is1 in fact1 essential to all the phenomena of life4 ,the action of seeing accordingly involves the transformation of a certain modicum of this energy1 and the influence which incepts this transformation is the luminous field which originates in and emanates from the central mass of the system1 the sun4 ,in a similar way1 planetary material under certain conditions may become the source of an incepting luminous field4 ,it is this light influence or luminous field which1 in common parlance1 is said to enter the eye4 ,in that organ1 then1 is found the mechanism or machine 7,sec4 #cj71 a complicated one1 no doubt1 whereby this process of transformation is carried out which makes the light influence perceptible to the senses4 ,of the precise nature of the action little can be said4 ,the theme is rather one for a treatise on physiology4 ,it may be pointed out1 however1 with regard to the process of transformation1 that ,dewar has already demonstrated the fact that when light falls on the retina of the eye1 an electric current is set up in the optic nerve4 ,the energy associated with this current is1 of course1 obtained at the expense of the bodily energy of the observer1 and this energy1 after passing1 it may be1 through a large number of transformation processes1 will finally be returned to the source from which it was originally derived1 namely1 the axial energy of the earth4 ,the luminous field1 also1 like the thermal field1 has no transforming effect whatever on the energy of certain substances4 ,it may pass completely through some and be reflected by others without any sign of energy transformation4 ,its properties are1 in fact1 simply the properties of light1 and must be accepted simply as phenomena4 ,now1 it is very important1 in studying matters of this kind1 to realise that it is impossible ever to get beyond or behind phenomena4 ,it may be pointed out that in no sphere of physics has the influence of so-called explanatory mechanical hypotheses been stronger than in that dealing with the properties of light4 ,new theories are being expounded almost daily in attempts to explain or dissect simple phenomena4 ,but it may be asked1 ,in what does our really useful knowledge of light consist8 ,simply in our knowledge of phenomena4 ,beyond this1 one cannot go4 ,we may attempt to explain phenomena1 but to create for this purpose elastic ethereal media or substances without direct evidential phenomena in support is not to advance real knowledge4 ,there are certain properties peculiar to the luminous as to all other incepting fields1 certain conditions under which each respectively will act1 and the true method of gaining real insight into these agencies is by the study of these actual properties 7or phenomena7 and conditions1 and not by attempts to ultimately explain them4 ,it will be evident that in most cases of natural energy operations there is more than one energy influence in action4 ,as a rule there are several4 ,in a growing plant1 for example1 we have the thermal1 luminous1 gravitation1 and cohesive influences all in operation at the same time1 each performing its peculiar function in transformation1 each contributing its own peculiar energy phenomena to the whole4 ,this feature adds somewhat to the complexity of natural operations and to the difficulties in the precise description of the various phenomena with which they are associated4 #bj4 ,transformations--,upward ,movement of a ,mass against ,gravity ,when the significance of energy inception and the characteristic properties of the various agencies have been grasped1 it becomes much easier to deal with certain other aspects of energy processes4 ,to illustrate these aspects it is1 therefore1 now proposed to discuss a few simple secondary operations embodied in experimental apparatus4 ,a few examples of the operations of transformation and transmission of energy will be considered4 ,the object in view is to show the general nature of these processes1 and more especially the limits imposed upon them by the various factors or properties of the material machines in which they are of necessity embodied4 ,the reader is asked to bear in mind also the observations already made 7,sec4 #ac7 with respect to experimental apparatus generally4 ,the first operation for discussion is that of the upward movement of a mass of material against the gravitative attraction of the earth4 ,this movement involves one of the most simple and at the same time one of the most important of secondary energy processes4 ,as a concrete illustration1 consider the case of a body projected vertically upwards with great velocity from the surface of the earth4 ,the phenomena of its motion will be somewhat as follows3--,as the body recedes from the earth's surface in its upward flight1 its velocity suffers a continuous decrease1 and an altitude is finally attained where this velocity becomes zero4 ,the projectile1 at this point1 is instantaneously at rest4 ,its motion then changes2 it commences to fall1 and to proceed once more towards the starting-point with continuously increasing velocity4 ,neglecting the effect of the air 7,sec4 #bi7 and the rotational movement of the earth1 it may be assumed that the retardation of the projectile in its upward flight is numerically equal to its acceleration in its downward flight1 and that it finally returns to the starting-point with velocity numerically equal to the initial velocity of projection4 ,the process then obviously involves a complete transformation and return of energy4 ,at the earth's surface1 where its flight commences and terminates1 the body is possessed of energy of motion to a very high degree4 ,at the highest point of flight1 this form of energy has entirely vanished2 the body is at rest4 ,its energy properties are then represented by its position of displacement from the earth's surface2 its energy of motion in disappearing has assumed this form of energy of position1 energy of separation1 or potential energy4 ,the moving body has thus been the mechanism of an energy transformation4 ,at each stage of its upward progress1 a definite modicum of its original energy of motion is converted into energy of position4 ,between the extreme points of its flight1 the energy of the body is compounded of these two forms1 one of which is increasing at the expense of the other4 ,when the summit of flight is reached the conversion into energy of position is complete4 ,in the downward motion1 the action is completely reversed1 and when the body reaches the starting-point its energy of position has again been completely transformed into energy of motion4 ,it might be well to draw attention here to the fact1 often overlooked1 that this energy of position gained by the rising mass is1 in reality1 a form of energy1 separate and distinct1 brought into existence by the transformation and disappearance of the energy of the moving mass4 ,energy of position is as truly a form of energy as heat or kinetic energy4 ,the transformation here depicted is clearly a simple process1 yet we know absolutely nothing of its ultimate nature1 of the why or wherefore of the operation4 ,our knowledge is confined to the circumstances and conditions under which it takes place4 ,let us now1 therefore1 deal with these conditions4 ,the transformation is clearly carried out in virtue of the movement of the body in the lines or field of an incepting influence4 ,this influence is that of gravitation1 which links the body continually to the earth4 ,now the function of gravitation in this process1 as in others already described1 is that of a completely passive incepting agent4 ,the active energy which suffers change in the process is clearly the original work energy 7,sec4 #ca7 communicated to the projected body4 ,the whole process is1 in fact1 a purely mechanical operation1 and as in the case of other processes involving mechanical energy1 it is limited by the mass value of the moving material4 ,it is clear that the greater the amount of energy communicated to the projectile at the starting-point1 the greater will be the altitude it will attain in its flight4 ,the amount of energy1 however1 which can thus be communicated is dependent on the maximum force which can be applied to the projectile4 ,but the maximum force which can be applied to any body depends entirely on the resistance offered by that body1 and in this case the resisting force is the gravitative attraction of the earth on the projectile1 which attraction is again a direct function of its mass4 ,the greater the mass1 the greater the gravitative force1 and the greater the possibility of transformation4 ,the ultimate limit of the process would be reached if the projected mass were so great as to equal half the mass of the earth4 ,in such circumstances1 the earth being assumed to be divided into two equal masses1 the maximum limiting value of the gravitative attraction would clearly be attained4 ,any increase of the one mass over the other would again lead1 however1 to a diminution in the attractive force and a corresponding decrease in the energy limit for transformation4 ,the precise manner in which the operations of mechanical energy are limited by the mass will now be clear4 ,the principle is quite general1 and applicable to all moving bodies4 ,mass is ever a direct measure of energy capacity4 ,a graphical method of representing energy transformations of this kind1 by a system of co-ordinates1 would enable the reader to appreciate more fully the quantitative relations of the forms of energy involved and also their various limits4 #ba4 ,the ,simple ,pendulum ,the remaining operations of transformation for discussion are embodied in the following simple apparatus4 ,a spherical metallic mass ,m 7,fig4 #b7 is supported by a rod ,p which is rigidly connected to a horizontal spindle ,,hs as shown4 ,illustration3 ,,fig4 #b ,the spindle is supported and free to revolve in the bearings ,b#a and ,b#b which form part of the supporting framework ,v resting on the ground2 the bearing surfaces at ,b#a and ,b#b are lubricated1 and the mass ,m is free to perform1 in a vertical plane1 complete revolutions about the axis through the centre of the spindle4 ,in carrying out this motion its path will be circular1 as shown at ,,dcfe2 the whole arrangement is merely an adaptation of the simple pendulum4 ,as constituted1 the apparatus may form the seat of certain energy operations4 ,some of these will only take place with the application of energy of motion to the pendulum from an external source1 thereby causing it to vibrate or to rotate3 others1 again1 might be said to be inherent to the apparatus1 since they arise naturally from its construction and configuration4 ,we shall deal with the latter first4 #bb4 ,statical ,energy ,conditions ,the pendulum with its spindle has a definite mass value1 and1 assuming it to be at rest in the bearings ,b#a and ,b#b1 it is acted upon by gravitation1 or in other words1 it is under the influence or within the field of the gravitative attraction of the earth's mass upon it4 ,the effect of this field is directly proportional to the mass of the pendulum and spindle1 and to its action is due that bearing pressure which is transmitted through the lubricant to the bearing surfaces and thence to the supporting arms ,n#a and ,n#b of the framework4 ,bearings and columns alike are thus subjected to a downward thrust or pressure4 ,being of elastic material1 they will be more or less distorted4 ,this distortion will proceed until the downward forces are balanced by the upward or reactive forces called into play in virtue of the cohesive properties of the strained material4 ,corresponding to a slight downward movement of the pendulum and spindle in thus straining or compressing them1 the supporting columns will be decreased in length4 ,this downward movement is the external evidence of certain energy operations4 ,in virtue of their elevation above the earth's surface1 the pendulum and spindle possess1 to a certain degree1 energy of position1 and any free downward movement would lead to the transformation of this energy into energy of motion 7,sec4 #bj74 ,but the downward motion of pendulum and spindle is not free4 ,it is made against the resistance of the material of the supporting columns1 and the energy of position1 instead of assuming the form of energy of motion1 is simply worked down or transformed against the opposing cohesive forces of the supporting materials4 ,this energy1 therefore1 now resides in these materials in the form of energy of strain or distortion4 ,in general nature1 this strain energy is akin to energy of position 7,sec4 #bj74 ,certain portions of the material of the columns have been forced into new positions against the internal forces of cohesion which are ever tending to preserve the original configuration of the columns4 ,this movement of material in the field of the cohesive influence involves the transformation of energy 7,sec4 #d71 and the external evidence of the energy process is simply the strained or distorted condition of the material4 ,if the latter be released1 and allowed to resume its natural form once more1 this stored energy of strain would be entirely given up4 ,in reality1 the material can be said to play the part of a machine or mechanism for the energy process of storage and restoration4 ,no energy process1 in fact1 ever takes place unless associated with matter in some form4 ,the supporting arms1 in this case1 form the material factor or agency in the energy operation4 ,all such energy machines1 also1 are limited in the extent of their operation1 by the qualities of the material factors4 ,in this particular case1 the energy compass of the machine is restricted by certain physical properties of the material1 by the maximum value of these cohesive or elastic forces called into play in distortion4 ,these forces are themselves the evidence of energy1 of that energy by virtue of which the material possesses and maintains its coherent form4 ,in this case this energy is also the factor controlling the transformation1 and appears as a separate and distinct incepting agency4 ,if the process is to be a reversible one1 so that the energy originally stored in the material as strain energy or energy of distortion may be completely returned1 the material must not be stressed beyond a certain point4 ,only a limited amount of work can be applied to it1 only a limited amount of energy can be stored in it4 ,too much energy applied--too great a weight on the supporting columns--gives rise to permanent distortion or crushing1 and an entirely new order of phenomena4 ,this energy limit for reversibility is then imposed by the cohesive properties of the material or by its elastic limits4 ,up to this point energy stored in the material may be returned--the process is reversible in nature--but above this elastic limit any energy applied must operate in an entirely different manner4 ,a little consideration will show also1 that the state of distortion1 or energy strain1 is not confined to the material of the supporting columns alone4 ,action and reaction are equal4 ,the same stresses are applied to the spindle through the medium of bearings and lubricant4 ,in fact1 every material substance of which the pendulum machine is built up is thus1 more or less1 strained against internal forces2 all possess1 more or less1 cohesion or strain energy4 ,it will be evident1 also1 that this condition is not peculiar to this or any other form of apparatus4 ,it is the energy state or condition of every structure1 either natural or artificial1 which is built up of ordinary material1 and which1 on the earth's surface1 is subjected to the influence of the gravitation field4 ,this cohesion or strain energy is one of the forms in which energy is most widely distributed throughout material4 ,in reviewing the statical condition of the above apparatus1 the pendulum itself has been assumed to be hanging vertically at rest under the influence of gravitation4 ,if energy be now applied to the system from some external source so that the pendulum is caused to vibrate1 or to rotate about the axis of suspension1 a new set of energy processes make their appearance4 ,the movement of the pendulum mass1 in its circular path around the central axis1 is productive of certain energy reactions1 as follows3-- a4 ,a transformation of energy of motion into energy of position and vice versa4 b4 ,a frictional transformation at the bearing surfaces4 ,these processes will each be in continuous operation so long as the motion of the pendulum is maintained4 ,their general nature is quite independent of the extent of that motion1 whether it be merely vibratory through a small arc1 or completely rotatory about the central axis4 ,in the articles which immediately follow1 the processes will be treated separately4 #bc4 ,transformations of the ,moving ,pendulum--a4 ,energy of ,motion to ,energy of ,position and ,vice ,versa ,in this simple transformation the motion of the pendulum about the axis of suspension may be either vibratory or circular1 according to the amount of energy externally applied4 ,in each case1 every periodic movement of the apparatus illustrates the whole energy operation4 ,the general conditions of the process are almost identical with those in the case of the upward movement of a mass against gravity 7,sec4 #bj74 ,gravitation is the incepting energy influence of the operation4 ,if the pendulum simply vibrates through a small arc1 then1 at the highest points of its flight1 it is instantaneously at rest4 ,its energy of motion is here1 therefore1 zero2 its energy of position is a maximum4 ,at the lowest point of its flight1 the conditions are exactly reversed4 ,here its energy of motion is a maximum1 while its energy of position passes through a minimum value4 ,the same general conditions hold when the pendulum performs complete revolutions about the central axis4 ,if the energy of motion applied is just sufficient to raise it to the highest point ,e 7,fig4 #b71 the mass will there again be instantaneously at rest with maximum energy of position4 ,as the mass falls downwards in completing the circular movement1 its energy of position once more assumes the kinetic form1 and reaches its maximum value at ,c 7,fig4 #b71 the lowest position4 ,the moving pendulum mass1 so far as its energy properties are concerned1 behaves in precisely the same manner as a body vertically projected in the field of the gravitative attraction 7,sec4 #bj74 ,this simple energy operation of the pendulum is perhaps one of the most familiar of energy processes4 ,by its means1 however1 it is possible to illustrate certain general features of energy reactions of great importance to the author's scheme4 ,the energy processes of the pendulum system are carried out through the medium of the material pendulum machine1 and are limited1 both in nature and degree1 by the properties of that machine4 ,as the pendulum vibrates1 the transformation of energy of motion to energy of position or vice versa is an example of a reversible energy operation4 ,the energy active in this operation continually alternates between two forms of energy3 transformation is continually followed by a corresponding return4 ,neglecting in the meantime all frictional and other effects1 we will assume complete reversibility1 or that the energy of motion of the pendulum1 after passing completely into the form of energy of position at the highest point1 is again completely returned1 in its original form1 in the descent4 ,now1 for any given pendulum1 the amount of energy which can thus operate in the system depends on two factors1 namely1 the mass of the pendulum and the vertical height through which it rises in vibration4 ,if the mass is fixed1 then the maximum amount of energy will be operating in the reversible cycle when the pendulum is performing complete revolutions round its axis of suspension4 ,the maximum height through which the pendulum can rise1 or the maximum amount of energy of position which the system can acquire1 is thus dependent on the length of the pendulum arm4 ,these two factors1 then1 the mass and the length of the pendulum arm1 are simply properties of this pendulum machine1 properties by which its energy compass is restricted4 ,let us now examine these limiting factors more minutely4 ,it is obvious that energy could readily be applied to the pendulum system in such a degree as to cause it to rotate with considerable angular velocity about the axis of suspension4 ,now the motion of the pendulum mass in the lines of the gravitation field1 although productive of the same transformation process1 differs from that of a body moving vertically upward in that1 while the latter has a linear movement1 the former is constrained into a circular path4 ,this restraint is imposed in virtue of the cohesive properties of the material of the pendulum arm1 and it is the presence of this restraining influence that really distinguishes the pendulum machine from the machine in which the moving mass is constrained by gravity alone 7,sec4 #bj74 ,it has been shown that the energy capacity of a body projected vertically against gravity is limited by its mass only2 the energy capacity of the pendulum machine may be likewise limited by its mass1 but the additional restraining factor of cohesion also imposes another limit4 ,in the course of rotation1 energy is stored in the material of the pendulum against the internal forces of cohesion4 ,the action is simply that of what is usually termed centrifugal force4 ,as the velocity increases1 the pendulum arm lengthens correspondingly until the elastic limit of the material in tension is reached4 ,at this point1 the pendulum may be said to have reached the maximum length at which it can operate in that reversible process of transformation in which energy of motion is converted into energy of position4 ,the amount of energy which would now be working in that process may be termed the limiting energy for reversibility4 ,this limiting energy is the absolute maximum amount of energy which can operate in the reversible cycle4 ,it is coincident with the maximum length of the pendulum arm in distortion4 ,when the stress in the material of that arm reaches the elastic limit1 it is clear that the transformation against cohesion will also have attained its limiting value for reversibility4 ,this transformation1 if the velocity of the pendulum is constant1 is of the nature of a storage of energy4 ,so long as the velocity is constant the energy stored is constant4 ,if the elastic limiting stress of the material has not been exceeded1 this energy--neglecting certain minor processes 7,secs4 #ae1 #bi7--will be returned in its original form as the velocity decreases4 ,if1 however1 the material be stressed beyond its elastic powers1 the excess energy applied will simply lead to permanent distortion or disruption of the pendulum arm1 and to a complete breakdown and change in the character of the machine and the associated energy processes 7,sec4 #e74 ,the physical properties of the material thus limit the energy capacity of the machine4 ,this limiting feature1 as already indicated1 is not peculiar to the pendulum machine alone4 ,every energy process embodied in a material machine is limited in a similar fashion by the peculiar properties of the acting materials4 ,every reversible process is carried out within limits thus clearly defined4 ,nature presents no exception to this rule1 no example of a reversible energy system on which energy may be impressed in unlimited amount4 ,on the contrary1 all the evidence points to limitation of the strictest order in such processes4 #bd4 ,transformations of the ,moving ,pendulum--b4 ,frictional ,transformation at the ,bearing ,surfaces ,the motion of the pendulum1 whether it be completely rotatory or merely vibratory in nature1 invariably gives rise to heating at the bearings or supporting points4 ,since the heating effect is only evident when motion is taking place1 and since the heat can only make its appearance as the result of some energy process1 it would appear that this persistent heat phenomenon is the result of a transformation of the original energy of motion of the pendulum4 ,the general energy conditions of the apparatus already adverted to 7,sec4 #ba7 still hold1 and the lubricating oil employed in the apparatus being assumed to have sufficient capillarity or adhesive power to separate the metallic surfaces of bearings and journals at all velocities1 then every action of the spindle on the bearings must be transmitted through the lubricant4 ,the latter is1 therefore1 strained or distorted against the internal cohesive or viscous forces of its material4 ,the general effect of the rotatory motion of the spindle will be to produce a motion of the material of the lubricant in the field of these incepting forces4 ,to this motion the heat transformation is primarily due4 ,other conditions being the same1 the extent of the transformation taking place1 in any given case1 is dependent on the physical properties of the lubricant1 such as its viscosity1 its cohesive or capillary power1 always provided that the metallic surfaces are separated1 so that the action is really carried out in the lines or field of the internal cohesive forces of the lubricant4 ,in itself1 this transformation is not a reversible process2 no mechanism appears by which this heat energy evolved at the bearing surfaces could be returned once more to its original form of energy of motion4 ,it may be1 in fact1 communicated by conduction to the metallic masses of the bearings1 and thence1 by conduction and radiation1 to the air masses surrounding the apparatus4 ,its action in these masses is dealt with below 7,sec4 #bi74 ,the operation of bearing friction1 though in itself not a reversible process1 really forms one link of a complete chain 7,sec4 #i7 of secondary operations 7transmissions and transformations7 which together form a comprehensive and complete cyclical energy process 7,sec4 #cb74 ,when no lubricant is used in the apparatus1 so that the metallic surfaces of bearings and journals are in contact1 the heat process is of a precisely similar nature to that described above 7see also ,sec4 #af74 ,distortion of the metals in contact takes place in the surface regions1 so that the material is strained against its internal cohesive forces4 ,the transformation will thus depend on the physical properties of these metals1 and will be limited by these properties4 ,different metallic or other combinations will consequently give rise to quite different results with respect to the amounts of heat energy evolved4 #be4 ,stability of ,energy ,systems ,the ratio of the maximum or limiting energy for reversibility to the total energy of the system may vary in value4 ,if the pendulum vibrates only through a very small arc1 then1 neglecting the minor processes 7,secs4 #bd1 #bi71 practically the whole energy of the system operates in the reversible transformation4 ,this condition is maintained as the length of the arc of vibration increases1 until the pendulum is just performing complete revolutions about the central axis4 ,after this1 the ratio will alter in value1 because the greater part of any further increment of energy does not enter into the reversible cyclical process1 but merely goes to increase the velocity of rotation and the total energy of the system4 ,the small amount of energy which thus enters the reversible cycle as the velocity increases1 does so in virtue of the increasing length of the pendulum arm in distortion4 ,to produce even a slight distortion of the arm1 a large amount of energy will require to be applied to and stored in the system1 and thus1 at high velocities of rotation1 the energy which operates in the reversible cycle1 even at its limiting value1 may form only a very small proportion of the total energy of the system4 ,at low velocities or low values of the total energy1 say when the pendulum is not performing complete rotations1 practically the whole energy of the system is working in the reversible cycle2 but1 in these circumstances1 it is clear that the total energy of the system1 which1 in this case1 is all working in the reversible process1 is much less than the maximum or limiting amount of energy which might so work in that process4 ,under these conditions1 when the total energy of the system is less than the limiting value for reversibility1 so that this total energy in its entirety is free to take part in the reversible process1 then the energy system may be termed stable with respect to that process4 ,stability1 in an energy system1 thus implies that the operation considered is not being1 as it were1 carried out at full energy capacity1 but within certain reversible energy limits4 ,we have emphasised this point in order to draw attention to the fact that the great reversible processes which are presented to our notice in natural phenomena are all eminently stable in character4 ,perhaps the most striking example of a natural reversible process is found in the working of the terrestrial atmospheric machine 7,secs4 #aj1 #ch74 ,the energy in this case is limited by the mass1 but in actual operation its amount is well within the maximum limiting value4 ,the machine1 in fact1 is stable in nature4 ,other natural operations1 such as the orbital movements of planetary masses1 7,sec4 #h7 illustrate the same conditions4 ,nature1 although apparently prodigal of energy in its totality1 yet rigidly defines the bounding limits of her active operations4 #bf4 ,the ,pendulum as a ,conservative ,system ,under certain conditions the reversible energy cycle produces an important effect on the rotatory motion of the pendulum4 ,for the purpose of illustration1 let it be assumed that the pendulum is an isolated and conservative system endowed with a definite amount of rotatory energy4 ,in its circular movement1 the upward motion of the pendulum mass is accompanied by a gain in its energy of position4 ,this gain is1 in the given circumstances1 obtained solely at the expense of its inherent rotatory energy1 which1 accordingly1 suffers a corresponding decrease4 ,the manifestation of this decrease will be simply a retardation of the pendulum's rotatory motion4 ,its angular velocity will1 therefore1 decrease until the highest altitude ,e 7,fig4 #b7 is attained4 ,after this1 on the downward path1 the process will be reversed4 ,acceleration will take place from the highest to the lowest point of flight1 and the energy stored as energy of position will be completely returned in its original form of energy of motion4 ,the effect of the working of the reversible cycle1 then1 on the rotatory system1 under the given conditions1 is simply to produce alternately a retardation and a corresponding acceleration4 ,now1 it is to be particularly noted that these changes in the velocity of the system are produced1 not by any abstraction from or return of energy to the system1 which is itself conservative1 but simply in consequence of the transformation and re-transformation of a certain portion of its inherent rotatory energy in the working of a reversible process embodied in the system4 ,the same features may be observed in other systems where the conditions are somewhat similar4 ,in the natural world1 we find processes of the same general nature in constant operation4 ,when any mass of material is elevated from the surface of a rotating planetary body against the gravitative attraction1 it thereby gains energy of position 7,sec4 #bj74 ,this energy1 on the body's return to the surface in the course of its cycle1 reappears in the form of energy of motion4 ,now the material mass1 in rising from the planetary surface1 is not1 in reality1 separated from the planet4 ,the atmosphere of the planet forms an integral portion of its material1 partakes of its rotatory motion1 and is bound to the solid core by the mutual gravitative forces4 ,any mass1 then1 on the solid surface of a planet is1 in reality1 in the planetary interior1 and the rising of such a mass from that surface does not imply any actual separative process1 but simply the radial movement1 or displacement of a portion of the planetary material from the central axis4 ,if the energy expended in the upraisal of the mass is derived at the expense of the inherent rotatory energy of the planet1 as it would be if the latter were a strictly conservative energy system1 then the raising of this portion of planetary material from the surface would have a retarding effect on the planetary motion of rotation4 ,but if1 on the other hand1 the energy of such a mass as it fell towards the planetary surface were converted once more into its original form of energy of axial motion1 exactly equivalent in amount to its energy of position1 it is evident that the process would be productive of an accelerating effect on the planetary motion of rotation1 which would in magnitude exactly balance the previous retardation4 ,in such a process it is evident that energy neither enters nor leaves the planet4 ,it simply works in an energy machine embodied in planetary material4 ,this point will be more fully illustrated later4 ,the reader will readily see the resemblance of a system of this nature to that which has already been illustrated by the rotating pendulum4 ,in the meantime1 it may be pointed out that matter displaced from the planetary surface need not necessarily be matter in the solid form4 ,all the operations mentioned above could be quite readily--in fact1 more readily--carried out by the movements of gaseous material1 which is admirably adapted for every kind of rising1 falling1 or flowing motion relative to the planetary surface 7,sec4 #ac74 #bg4 ,some ,phenomena of ,transmission ,processes--,transmission of ,heat ,energy by ,solid ,material ,the pendulum machine described above furnishes certain outstanding examples of the operation of energy transformation4 ,it will be noted1 however1 that it also portrays certain processes of energy transmission4 ,in this respect it is not peculiar4 ,most of the material machines in which energy operates will furnish examples of both energy transmissions and energy transformations4 ,in some instances1 the predominant operation seems to be transformation1 in others1 transmission2 and the machines may be classified accordingly4 ,it is1 however1 largely a matter of terminology1 since both operations are usually found closely associated in one and the same machine4 ,the apparatus now to be considered is designed primarily to illustrate the operative features of certain energy transmissions1 but the description of the machines with their allied phenomena will show that energy transformations also play a very important part in their constitution and working4 ,a cylindrical metallic bar about twelve inches long1 say1 and one inch in diameter1 is placed with its ends immersed in water in two separate vessels1 ,a and ,b1 somewhat as shown4 ,illustration3 ,,fig4 #c ,by the application of heat energy1 the temperature of the water in the vessel ,a is raised to a point say #ajj deg4 ,f4 above that of ,b1 and steadily maintained at that point4 ,it is assumed that ,b is also kept at the constant lower temperature4 ,in these circumstances1 a transmission of heat energy takes place from ,a to ,b through the metallic bar4 ,when the steady temperature condition is reached1 the transmission will be continuous and uniform2 the rate at which it is carried out will be determined by the length of the bar1 by the material of which it is composed1 and by the temperature difference maintained between its ends4 ,now what has really happened is that by a combination of phenomena the bar has been converted into a machine for the transmission of heat energy4 ,a full description of these phenomena is1 in reality1 the description of this machine1 and vice versa4 ,let us1 therefore1 now try to outline some of these phenomena4 ,the first feature of note is the gradient of temperature which exists between the ends of the bar4 ,further research is necessary regarding the real nature of this gradient--it appears to differ greatly in different materials--but the existence of such a gradient is one of the main features of the energy machine1 one of the essential conditions of the transmission process4 ,another feature is that of the expansive motion of the bar itself4 ,the expansion of the bar due to the heating varies in value along its length1 from a maximum at the hot end to a minimum at the cool end4 ,the expansion1 also1 is the evidence of a transformation of energy4 ,the bar has been constrained into its new form against the action of the internal molecular or cohesive forces of its material 7,sec4 #af74 ,the energy employed and transformed in producing the expansion is a part of the original heat energy applied to the bar1 and before any transmission of this heat energy takes place between its extreme ends1 a definite modicum of the applied energy has to be completely transformed for the sole purpose of producing this distortive movement or expansion against cohesion4 ,this preliminary straining of the bar is1 in fact1 a part of the process of building up or constituting the energy transmission machine1 and must be completely carried out before any transmission can take place4 ,it is clear1 then1 that concurrent with the gradient of temperature1 there also exists1 along the bar1 what might be termed a gradient of energy stored against cohesion1 and that both are characteristic and essential features of this particular energy machine4 ,a point of some importance to note is the permanency of these features4 ,once the machine has been constituted with a constant temperature difference1 the transmission of energy will take place continuously and at a uniform rate4 ,but no further transformation against cohesion takes place2 no further expenditure of energy against the internal forces of the material is necessary4 ,neglecting certain losses due to possible external conditions1 the whole energy applied to the machine at the one end is transmitted in its entirety to the other1 without influencing in any way either the temperature or the energy gradient4 ,such is the general constitution of this machine for energy transmission4 ,its material foundation is1 indeed1 the metallic bar1 but the temperature and energy gradients may be termed the true determining factors of its operation4 ,as already indicated1 the magnitude of the transformation is dependent on the temperature difference between the ends of the bar4 ,but this applies only within certain limits4 ,with respect to the cool end1 the temperature may be as low as we please--so far as we know1 the limit is absolute zero of temperature2 but with the hot end1 the case is entirely different1 because here the limit is very strictly imposed by the melting-point of the material of the bar4 ,when this melting temperature is attained1 the melting of the bar indicates1 simply1 that the heat energy stored or transformed against the cohesive forces of the material has reached its limiting value2 change of state of the material is taking place1 and the machine is thereby being destroyed4 ,it is evident1 then1 that the energy which is actually being transmitted has itself no effect whatever in restricting the action or scope of the transmission machine4 ,it is1 in reality1 the residual energy stored against the cohesive forces which imposes the limits on the working4 ,it is the maximum energy which can be transformed in the field of the cohesive forces of the material which determines the power of that material as a transmitting agent4 ,this maximum will1 of course1 be different for different materials according to their physical constitution4 ,it is attained in this machine in each case when melting of the bar takes place4 #bh4 ,some ,phenomena of ,transmission ,processes--,transmission by ,flexible ,band or ,cord ,this method is often adopted when energy of motion1 or mechanical energy1 is required to be transmitted from one point to another4 ,for illustration1 consider the case of two parallel spindles or shafts1 ,a and ,b 7,fig4 #d71 each having a pulley securely keyed upon it4 ,spindle ,a is connected to a source of of mechanical energy1 and it is desired to transmit this energy across the intervening space to spindle ,b4 ,illustration3 ,,fig4 #d ,this1 of course1 might be accomplished in various ways1 but one of the most simple1 and1 at the same time1 one of the most efficient1 is the direct drive by means of a flexible band or cord4 ,the band is placed tightly round1 and adheres closely to both pulleys2 the coefficient of friction between band and pulleys may1 in the first instance1 be assumed to be sufficiently great to prevent slipping of the band up to the highest stress which it is capable of sustaining in normal working4 ,connected in this fashion1 the spindles will rotate in unison1 and mechanical energy1 if applied at ,a1 may be directly transmitted to ,b4 ,the material operator in the transmission is the connecting flexible band1 and associated with this material are certain energy processes which are also essential features of the energy machine4 ,when transmission of energy is taking place1 a definite tension or stress exists in the connecting band1 and neglecting certain inevitable losses due to bearing friction 7,sec4 #bd7 and windage 7,sec4 #bi71 practically the whole of the mechanical or work energy communicated to the one spindle is transmitted to the other4 ,now the true method of studying this or any energy process is simply to describe the constitution and principal features of the machine by which it is carried out4 ,these are found in the phenomena of transmission4 ,one of the most important is the peculiar state of strain or tension existing in the connecting band4 ,this1 as already indicated1 is an absolutely essential condition of the whole operation4 ,no transmission is possible without some stress or pull in the band4 ,this pull is exerted against the cohesive forces of the material of the band1 so that before transmission takes place it is distorted and a definite amount of the originally applied work energy is expended in straining it against these forces4 ,this energy is accordingly stored in the form of strain energy or energy of separation 7,sec4 #bb71 and1 if the velocity is uniform1 the magnitude of the transmission is proportional to this pull in the band1 or to the quantity of energy thus stored against the internal forces of its material4 ,but1 in every case1 a limit to this amount of energy is clearly imposed by the strength of the band4 ,the latter must not be strained beyond its limiting elastic stress4 ,so long as energy is being transmitted1 a certain transformation and return of energy of strain or separation is taking place in virtue of the differing values of the tensions in the two sides of the band2 and if the latter were stressed beyond the elastic limit1 permanent distortion or disruption of the material would take place4 ,under such conditions1 the reversible energy process1 involving storage and restoration of strain energy as the band passes round the pulleys1 would be impossible1 and the energy transmission machine would be completely disorganised4 ,the magnitude of the energy operation is thus limited by the physical properties of the connecting band4 ,another important feature of this energy transmission machine is the velocity1 or rather the kinetic energy1 of the band4 ,the magnitude of the transmission process is directly proportional to this velocity1 and is1 therefore1 also a function of the kinetic energy4 ,at any given rate of transmission1 this kinetic energy1 like the energy stored against the cohesive influence1 will be constant in amount1 and like that energy also1 will have been obtained at the expense of the originally applied energy4 ,this kinetic energy is an important feature in the constitution of the transmission machine4 ,as in the case of the strain energy1 its maximum value is strictly limited1 and thus imposes a limit on the general operation of the machine4 ,for1 at very high velocities1 owing to the action of centrifugal force1 it is not possible to keep the band in close contact with the surface of the pulleys4 ,when the speed rises above a certain limit1 although the energy actually being transmitted may not have attained the maximum value possible at lower speeds with greater tension in the band1 the latter will1 in virtue of the strain imposed by centrifugal action1 be forced radially outwards from the pulley4 ,the coefficient of friction will be thereby reduced2 slipping will ensue1 and the transmission may cease either in whole or in part4 ,in this way the velocity or kinetic energy limit is imposed4 ,the machine for energy transmission may thus be limited in its operation by two different factors4 ,the precise way in which the limit will be applied in any given case will1 of course1 depend on the circumstances of working4 #bi4 ,some ,phenomena of ,transmission ,processes--,transmission of ,energy to ,air ,masses ,the movement of the pendulum 7,sec4 #bc7 is accompanied by a certain transmission of energy to the surrounding medium4 ,when this medium is a gaseous one such as air1 the amount of energy thus transmitted is relatively small4 ,the process1 however1 has a real existence4 ,to illustrate its general nature1 let it be assumed that the motion of the pendulum is carried out1 not in air1 but in a highly viscous fluid1 say a heavy oil4 ,obviously1 a pendulum falling from its highest position to its lowest1 in such a medium would transmit its energy almost in its entirety to the medium1 and would reach its lowest position almost devoid of energy of motion4 ,the energy of position with which it was originally endowed would thus be transformed and transmitted to the surrounding medium4 ,the agent by which the transmission is carried out is the moving material of the pendulum1 which1 as it passes through the fluid1 distorts that fluid in the lines or field of its internal cohesive or viscous forces which offer a continuous resistance to the motion4 ,as the pendulum passes down through the liquid1 the succeeding layers of the latter are thus alternately distorted and released4 ,the distortive movement takes place in virtue of the communication of energy from the moving pendulum to the liquid1 and during the movement energy is stored in the fluid as energy of strain and as kinetic energy4 ,at the same time1 a transformation of the applied energy into heat takes place in the distorted material4 ,the release of this material from strain1 and its movement back towards its original state1 is also accompanied by a similar transformation1 in which the stored strain energy is1 in turn1 converted into the heat form4 ,the whole operation is similar in nature to that frictional process already described 7,sec4 #af7 in the case of a body moving on a rough horizontal table4 ,the final action of the heat energy thus communicated to the fluid is to expand the latter against the internal cohesive or viscous forces of its material1 and also against the gravitative attraction of the earth4 ,now when the pendulum moves in air1 the action taking place is of the same nature1 and the final result is the same as in oil4 ,it differs merely in degree4 ,compared with the oil1 the air masses offer only a slight resistance to the motion1 and thus only an exceedingly small part of the pendulum's energy is transmitted to them4 ,the pendulum1 however1 does set the surrounding air masses in motion1 and by a process similar in nature to that in the oil1 a modicum of the energy of the falling pendulum is converted into heat1 and thence by the expansion of the air into energy of position4 ,in the downward motion from rest1 the first stage of the process is a transformation peculiar to the pendulum itself1 namely1 energy of position into energy of motion4 ,the transmission to the fluid is a necessary secondary result4 ,it is important to note that this transmission is carried out in virtue of the actual movement of the material of the pendulum1 and that the energy transmitted is in reality mechanical or work energy 7,sec4 #ca74 ,this mechanical or work energy1 then actually leaves or is transmitted from the pendulum system1 and is finally absorbed by the surrounding air masses in the form of energy of position4 ,considered as a whole1 there is evidently no aspect of reversibility about the operation1 but it will be shown later 7,sec4 #cb7 that with the introduction of other factors1 it really forms part of a comprehensive cyclical process4 ,it is itself a process of direct transmission4 ,it is carried out by means of a definite material machine which embodies certain energy transformations1 and which is strictly limited in the extent of its operations by certain physical factors4 ,these factors are the cohesive properties of the moving pendulum mass and the fluid with which it is in contact 7,sec4 #af74 ,it is clear1 also1 that in an apparatus in which the motion is carried out in oil1 any heat energy communicated to the oil would inevitably find its way to the surrounding air masses by conduction and radiation4 ,the final result of the pendulum's motion would therefore be the same in this case as in air2 the heat energy would1 when communicated to the surrounding air masses1 cause an expansive movement against gravity4 #cj4 ,energy ,machines and ,energy ,transmission ,illustration3 ,,fig4 #e ,the various examples of energy transformation and transmission which have been discussed above 7,secs4 #ac-bg7 will suffice to show the essential differences which exist in the general nature of these operations4 ,but they will also serve another purpose in portraying one striking and important aspect in which these processes are alike4 ,from the descriptions given above1 it will be amply evident that each of these processes1 whether transformation or transmission1 requires as an essential condition of its existence1 the presence of a certain arrangement of matter2 each process is of necessity associated with and embodied in a definite physical and material machine4 ,this material machine is simply the contrivance provided by ,nature to carry out the energy operation4 ,it differs in construction and in character for different processes1 but in every case there must be in its constitution some material substance1 perceptible to the senses1 with which the acting energy is intimately associated4 ,this fact is but another aspect of the principle that energy is never found dissociated from matter 7,sec4 #aa74 ,in every energy machine1 the material substance or operator forms the real foundation or basis of the energy operation1 but besides this there are also always other phenomena of a secondary nature1 totally different1 it may be1 from the main energy operation1 which combine with that operation to constitute the whole4 ,these subsidiary energy phenomena are the incepting factors1 and are most important characteristics4 ,their presence is just as essential in energy transmission as it is in energy transformation4 ,as demonstrated above1 they are usually associated with the physical peculiarities of the basis or acting material of the energy machine1 and their peculiar function is to conserve or limit the extent of its action4 ,a complete description of these phenomena1 in any given case1 would not only be equivalent to a complete description of the machine1 but would also serve as a complete description of the main energy operation embodied in that machine4 ,sometimes1 however1 the description of the machine is a matter of extreme difficulty1 and may be1 in fact1 impossible owing to the lack of a full knowledge of the intimate phenomena concerned4 ,an illustrative example of this is provided by the familiar phenomenon of heat radiation4 ,take the case of two isolated solid bodies ,a and ,b 7,fig4 #e7 in close proximity on the earth's surface4 ,if the body ,a at a high temperature be sufficiently near to ,b at a lower temperature1 a transmission of energy takes place from ,a to ,b4 ,this transmission is usually attributed to radiation1 but1 after all1 the use of the term radiation is merely a descriptive device which hides our ignorance of the operation4 ,it is known that a transmission takes place1 but the intimate phenomena are not known1 and1 accordingly1 it is impossible to describe the machine or mechanism by which it is carried out4 ,from general considerations1 however1 it appears that the material basis of this machine is to be found in the air medium which surrounds the two bodies4 ,experiment shows1 indeed1 that if this intervening material medium of air be even partially withdrawn or removed1 the transmission is immensely reduced in amount4 ,in fact1 this latter phenomenon is largely taken advantage of in the so-called vacuum flasks or other devices to maintain bodies at a temperature either above or below that of the external surrounding bodies4 ,the device adopted is1 simply1 as far as practicable to withdraw all material connection between the body which it is desired to isolate thermally and its surroundings4 ,but it is clearly impossible to isolate completely any terrestrial body in this way4 ,there must be some material connection remaining4 ,as already pointed out 7,sec4 #e71 we have no experimental experience of really separate bodies or of an absolute vacuum4 ,it is to be noted that any vacuous space which we can experimentally arrange does not even approximately reproduce the conditions of true separation prevailing in interplanetary space4 ,any arrangement of separate bodies which might thus be contrived is necessarily entirely surrounded or enclosed by terrestrial material which1 in virtue of its stressed condition1 constitutes an energy machine of the same nature as those already described 7,sec4 #ba74 ,even although the air could be absolutely exhausted from a vessel1 it is still quite impossible to enclose any body permanently within that vessel without some material connection between the body and the enclosing walls4 ,if for example1 as shown in ,fig4 #f1 ,,cc represents a spherical vessel1 completely exhausted1 and having two bodies1 ,a and ,b at different temperatures1 in its interior1 it is obvious that if these bodies are to maintain continuously their relative positions of separation1 each must be united by some material connection to the containing vessel4 ,but when such a connection is made1 say as shown at ,d and ,e 7,fig4 #g71 it is clear that ,a and ,b are no longer separate bodies in the fullest sense of the word1 but are now in direct communication with one another through the supports at ,d and ,e and the enclosing sides of the vessel ,,cc4 ,the practicable conditions are thus far from those of separate bodies in a complete vacuum4 ,it would seem1 indeed1 to be beyond human experimental contrivance to reproduce such conditions in their entirety4 ,so far as these conditions can be achieved1 however1 and judging solely by the experimental results already attained with respect to the effect of exhaustion on radiation1 it may be quite justly averred that1 if the conditions portrayed in ,fig4 #f could be realised1 no transmission of energy would take place between two bodies1 such as ,a and ,b1 completely isolated from one another in a vacuous space4 ,it appears1 in fact1 to be a quite reasonable and logical deduction from the experimental evidence that the energy operation of transmission of heat from one body to another by radiation is dependent on the existence between these bodies of a real and material substance which forms in some way 7at present unknown7 the transmitting medium or machine4 ,the difficulty which arises in the description of this machine is due1 as already explained above1 simply to lack of knowledge of the intimate phenomena of its working4 ,many other energy processes will1 no doubt1 occur to the reader in which the same difficulty presents itself1 due to the same cause4 ,illustration3 ,,fig4 #f ,in dealing with terrestrial operations generally1 and particularly when transmission processes are under consideration1 it is important to recognise clearly the precise nature of these operations and the peculiar conditions under which they work4 ,it must ever be borne in mind that the terrestrial atmosphere is a real and material portion of the earth's mass1 extending from the surface for a limited distance into space 7,sec4 #cd71 and whatever its condition of gaseous tenuity1 completely occupying that space in the manner peculiar to a gaseous substance4 ,when the whole mass of the planet1 including the atmosphere1 is taken into consideration1 it is readily seen that all energy operations embodied in or associated with material on what is usually termed the surface of the earth take place at the bottom of this atmospheric ocean1 or1 in reality1 in the interior of the earth4 ,the operations themselves are the manifestations of purely terrestrial energy1 which1 by its working in various devices or arrangements of material is being transformed and transmitted from one form of matter to another4 ,as will be fully demonstrated later 7,part ,,iii471 the nature of the terrestrial energy system makes it impossible for this energy ever to escape beyond the confines of the planetary atmospheric envelope4 ,these are briefly the general conditions under which the study of terrestrial or secondary energy operations is of necessity conducted1 and it is specially important to notice these conditions when it is sought to apply the results of experimental work to the discussion of celestial phenomena4 ,it must ever be borne in mind that even the direct observation of the latter must always be carried out through the encircling planetary atmospheric material4 ,illustration3 ,,fig4 #g ,in this portion of the work it is proposed to investigate in the light of known phenomena the possibility of energy transmission between separate masses4 ,as explained above1 the term separate is here meant to convey the idea of perfect isolation1 and the only masses in ,nature which truly satisfy this condition are the celestial and planetary bodies1 separated as they are from one another by interplanetary space and in virtue of their energised condition 7,sec4 #e74 ,since this state of separation cannot be experimentally realised under terrestrial conditions1 it is obvious1 therefore1 that no purely terrestrial energy process can be advanced either as direct verification or direct disproof of a transmission of energy between such truly separate masses as the celestial bodies4 ,but as we are unable to experiment directly on these bodies themselves or across interplanetary space1 we are forced of necessity to rely1 for experimental facts and conclusions1 on the terrestrial energy phenomena to which access is possible4 ,as already indicated in the ,general ,statement 7,sec4 #aa71 the same energy is bestowed on all parts of the cosmical system1 and by the close observation of the phenomena of its action in familiar operations the truest guidance may be obtained as to its general nature and working4 ,in such investigations1 however1 only the actual phenomena of the operation are of scientific or informative value4 ,there is no gain to real knowledge in assuming1 say in the examination of the phenomena of magnetic attraction between two bodies1 that the one is urged towards the other by stresses in an intervening ethereal medium1 when absolutely no phenomenal evidence of the existence of such a medium is available4 ,it may be urged that the conception of an ethereal medium is adapted to the explanation of phenomena1 and appears in many instances to fulfil this function4 ,but as already pointed out 7see ,introduction71 it is absolutely impossible to explain phenomena4 ,so-called explanations must ever resolve themselves simply into revelations of further phenomena4 ,while the value of true working hypotheses cannot be denied1 it is surely evident that such hypotheses1 unless they embody and are under the limitation of controlling facts1 are not only useless1 but1 from the misleading ideas they are apt to convey1 may even be dangerous factors in the search for truth4 ,now1 if all speculative ideas or hypotheses are banished from the mind1 and reliance is placed solely on the evidential phenomena of ,nature1 the study of terrestrial energy operations leads inevitably to certain conclusions on the question of energy transmission4 ,in the first place1 it must lead to the denial of what has been virtually the great primary assumption of modern science1 namely1 that a mass of material at a high temperature isolated in interplanetary space would radiate heat in all directions through that space4 ,such a conception is unsupported by our experimental or real knowledge of radiation4 ,the fact that heat radiation takes place from a hot to a cold body in whatever direction the latter is placed relatively to the former1 does not justify the assumption that such radiation takes place in all directions in the absence of a cold body4 ,and since there is absolutely no manifestation of any real material medium occupying interplanetary space1 no sign of the material agency or machine which the results of direct experiment have led us to conclude is a necessity for the transmission process of heat radiation1 the whole conception must be regarded as at least doubtful4 ,even with our limited knowledge of radiation1 the doctrine of heat radiation through space stands controverted by ordinary experimental experience4 ,with this doctrine must fall also the allied conception of the transmission of heat energy by radiation from the sun to the earth4 ,it is to be noted1 however1 that only the actual transmission of heat energy from the sun to the earth is inadmissible2 the heating effect of the sun on the earth1 which leads to the manifestation of terrestrial energy in the heat form1 is a continuous operation readily explained in the light of the general principle of energy transformation already enunciated 7,sec4 #d74 ,with respect to other possible processes of energy transmission between the sun and the earth or across interplanetary space1 the same general methods of experimental investigation must be adopted4 ,the transmission of energy under terrestrial conditions is carried out in many different forms and by the working of a large variety of machines4 ,in every case1 no matter in what form the energy is transmitted1 that energy must be associated with a definite arrangement of terrestrial material constituting the transmission machine4 ,each energy process of transmission has its own peculiar conditions of operation which must be completely satisfied4 ,by the study of these conditions and the allied phenomena it is possible to gain a real knowledge of the precise circumstances in which the process can be carried out4 ,now let us apply the knowledge of transmission processes thus gained to the general celestial case1 to the question of energy transmission between truly separate bodies1 and particularly to the case of the sun and the earth4 ,do we find in this case any evidence of the presence of a machine for energy transmission8 ,it is impossible1 within the limits of this work1 to deal with all the forms in which energy may be transmitted1 but let the reader review any instance of the transmission of energy under terrestrial conditions1 or any energy-transmission machine with which he is familiar1 noting particularly the essential phenomena and material arrangements1 and let him ask himself if there is any evidence of the existence of a machine of this kind in operation between the sun and the earth or across interplanetary space4 ,we venture to assert that the answer must be in the negative4 ,the real knowledge of terrestrial processes of energy transmission at command1 on which all our deductions must be based1 does not warrant in the slightest degree the assumption of transmission between the sun and the earth4 ,the most plausible of such assumptions is undoubtedly that which attributes transmission to heat radiation1 but this has already been shown to be at variance with well-known facts4 ,the question of light transmission will offer no difficulty if it be borne in mind that light is not in itself a form of energy1 but merely a manifestation of energy as an incepting influence1 which like other incepting influences of a similar nature1 can readily operate across either vacuous or interplanetary space 7,sec4 #ai74 ,on these general considerations1 deduced from the observation of terrestrial phenomena1 allied with the conception of energy machines and separate masses in space1 the author bases one aspect of the denial of energy transmission between celestial masses4 ,the doctrine of transmission cannot be sustained in the face of legitimate scientific deduction from natural phenomena4 ,in the later parts of this work1 and from a more positive point of view1 the denial is completely justified4 #ca4 ,identification of ,forms of ,energy ,before leaving the question of energy transmission1 there are still one or two interesting features to be considered4 ,although energy1 as already pointed out1 is ever found associated with matter1 this association does not1 in itself1 always furnish phenomena sufficient to distinguish the precise phase in which the energy may be manifested4 ,some means must1 as a rule1 be adopted to isolate and identify the various forms4 ,now one of the most interesting and important features of the process of energy transmission is that it usually provides the direct means for the identification of the acting energy4 ,energy1 as it were1 in movement1 in the process of transmission1 is capable of being detected in its different phases and recognised in each4 ,the phenomena of transmission usually serve1 either directly or indirectly1 to portray the precise nature of the energy taking part in the operation4 ,one of the most direct instances of this is provided by the transmission of heat energy4 ,for illustrative purposes1 let it be assumed that a body ,a1 possessed of heat energy to an exceedingly high degree1 is isolated within a spherical glass vessel ,,cc1 somewhat as already shown 7,fig4 #f74 ,if it be assumed that the space within ,,cc is a perfect vacuum1 and that no material connection exists between the walls of the vessel and the body ,a1 the latter is completely isolated1 and no means whatever are available for the detection of its heat qualities 7,sec4 #cj74 ,it may seem that1 if the temperature of the body ,a were sufficiently high1 its energy state might be detected1 and in a manner estimated1 by its effect on the eye or by its luminous properties1 but we take this opportunity of pointing out that luminosity is not invariably associated with high temperature4 ,on the contrary1 many bodies are found in ,nature1 both animate and inanimate1 which are luminous and affect the eye at comparatively low temperatures4 ,how then is the energy condition of the body to be definitely ascertained8 ,the only means whereby it is possible to identify the energy of the body is by transmitting a portion of that energy to some other body and observing the resultant phenomena4 ,suppose1 then1 another body1 such as ,b 7,fig4 #f71 at a lower temperature than ,a1 is brought into contact with ,a1 so that a transmission of heat energy ensues between the two4 ,the phenomena which would result in such circumstances will be exactly as already described in the case of the transmission of energy through a solid 7,sec4 #bg74 ,amongst other manifestations it would be noticeable that the material of ,b was expanded against its inherent cohesive forces4 ,now if1 instead of a spherical body such as ,b1 a mercurial thermometer were utilised1 the phenomena would be of precisely the same nature4 ,a definite portion of the heat energy would be transmitted to the thermometer1 and would produce expansion of the contained fluid4 ,by the amount of this expansion it becomes possible to estimate the energy condition and properties of the body ,a1 relative to its surroundings or to certain generally accepted standard conditions4 ,thermometric measurement is1 in fact1 merely the employment of a process of energy transmission for the purpose of identifying and estimating the heat-energy properties of material substances4 ,in everyday life1 rough ideas of heat energy are constantly being obtained by the aid of the senses4 ,this method is1 however1 only another aspect of transmission1 for it will be clear that the sensations of heat and cold are1 in themselves1 but the evidence of the transformation of heat energy to or from the body4 ,the process of energy transmission by a flexible band or cord 7,sec4 #bh7 also provides evidence leading to the identification of the peculiar form of energy which is being transmitted4 ,at first sight1 it would appear as if this energy were simply energy of motion or kinetic energy4 ,a little reflection1 however1 on the general conditions of the process must dispel this idea1 for it is clear that the precise nature of the energy transmitted has no real connection with the kinetic properties of the system4 ,the latter1 truly1 influence the rate of transmission and impose certain limits1 but evidently1 if the pull in the band increases without any increase in its velocity1 the actual amount of energy transmitted by the system would increase without altering in any respect the kinetic properties4 ,it becomes necessary1 then1 to distinguish clearly the energy inherent to1 or as it were1 latent in the system1 from the energy actually transmitted by the system1 to recognise the difference between the energy transmitted by moving material and the energy of that material4 ,in this special instance1 to identify the form of energy transmitted it must of necessity be associated with the peculiar phenomena of transmission4 ,now the energy is evidently transmitted by the movement of the connecting belt or band4 ,before any transmission can take place1 however1 a certain amount of energy must be stored in the moving system1 partly as cohesion or strain energy and partly as energy of motion or kinetic energy4 ,it is this preliminary storage of energy which1 in reality1 constitutes the transmission machine1 and for a given rate of transmission1 the energy thus stored will be constant in value4 ,it is obtained at the expense of the applied energy1 and1 neglecting certain minor processes1 will be returned 7or transmitted7 in its entirety when the moving system once more comes to rest4 ,this stored energy1 in fact1 works in a reversible process4 ,but when the transmission machine is once constituted1 the energy transmitted is then that energy which is being continually applied at the spindle ,a 7,fig4 #d7 and as continually withdrawn at the spindle ,b4 ,it must be emphasised that the energy thus transmitted is absolutely different from the kinetic or other energy associated with the moving material of the system4 ,it is the function of this energised material of the band to transmit the energy from ,a to ,b1 but this is the only relationship which the transmitted energy bears to the material4 ,the energy thus transmitted by the moving material we term mechanical or work energy4 ,we may thus define mechanical or work energy as that form of energy transmitted by matter in motion4 ,the idea of work is usually associated with that of a force acting through a certain distance4 ,the form of energy referred to above as work energy is1 in the same way1 always associated with the idea of a thrust or of a pressure of some kind acting on moving material4 ,work energy thus bears two aspects1 which really correspond to the familiar product of pressure and volume4 ,both aspects are manifested in transmission4 ,since work energy is invariably transmitted by matter in motion1 every machine for its transmission must possess energy of motion as one of its essential features4 ,as shown above 7see also ,sec4 #bh71 this energy of motion is really obtained at the expense of the originally applied work energy1 and as it remains unaltered in value during the progress of a uniform transmission1 it may be regarded as simply transformed work energy1 stored or latent in the system1 which will be returned in its entirety and in its original form at the termination of the operation4 ,the energy stored against cohesion or other forces may be regarded in the same way4 ,it is really the manifestation of the pressure or thrust aspect of the work energy1 just as the kinetic energy is the manifestation of the translational or velocity aspect4 ,our definition of work energy given above enables us to recognise its operation in many familiar processes4 ,take the case of a gas at high pressure confined in a cylinder behind a movable piston4 ,we can at once say that the energy of the gas is work energy because this energy may quite clearly be transmitted from the gas by the movement of the piston4 ,if the latter form part of a steam-engine mechanism of rods and crank1 the energy may1 by the motion of this mechanism1 be transmitted to the crank shaft1 and there utilised4 ,this is eminently a case in which energy is transmitted by matter in motion4 ,the moving material comprises the piston1 piston-rod1 and connecting-rod1 which are1 one and all1 endowed with both cohesive and kinetic energy qualities1 and form together the transmission machine4 ,so long as the piston is at rest only one aspect of the work energy of the gas is apparent1 namely1 the pressure aspect1 but immediately motion and transmission take place1 both aspects are presented4 ,the work energy of the gas1 obtained in the boiler by a transformation of heat energy is thus1 by matter in motion1 transmitted and made available at the crank shaft4 ,the shaft itself is also commonly utilised for the further transmission of the work energy applied4 ,by the application of the energy at the crank1 it is thrown into a state of strain1 and at the same time is endowed with kinetic energy of rotation4 ,it thus forms a machine for transmission1 and the work energy applied at one point of the shaft may be withdrawn at another point more remote4 ,the transmission is1 in reality1 effected by the movement of the material of the shaft4 ,so long as the shaft is stationary1 it is clear that no actual transmission can be carried out1 no matter how great may be the strain imposed4 ,if our engine mechanism were1 by a change in design1 adapted to the use of a liquid substance as the working material instead of a gas1 it is clear that no change would be effected in the general conditions4 ,the energy of a liquid under pressure is again simply work energy1 and it would be transmitted by the moving mechanism in precisely the same manner4 ,from the foregoing1 it will now be evident to the reader that the energy originally applied to the primary mass 7,sec4 #c7 of our cosmical system must be work energy4 ,it is this form of energy also which is inherent to each unit of the planetary system associated with the primary4 ,in this system it is of course presented outwardly in the two phases of kinetic energy and energy of strain or distortion4 ,it is apparent1 also1 that work energy could be transmitted from the primary mass to the separate planets on one condition only1 that is1 by the movement of some material substance connecting each planet to the primary4 ,since no such material connection is admitted1 the transmission of work energy is clearly impossible4 #cb4 ,complete ,secondary ,cyclical ,operation ,a general outline of the conditions of working and the relationships of secondary processes has already been given in the ,general ,statement 7,sec4 #i71 but it still remains to indicate1 in a broad way1 the general methods whereby these operations are linked to the atmospheric machine4 ,in the example of the simple pendulum1 it has been pointed out that the energy processes giving rise to heating at the bearing surfaces and transmission of energy to the air masses are not directly reversible processes1 but really form part of a more extensive cyclical operation1 in itself1 however1 complete and self-contained4 ,this cyclical operation may be regarded as a typical illustration of the manner in which separate processes of energy transmission or transformation1 such as already described1 are combined or united in a continuous chain forming a complete whole4 ,it has been assumed1 in all the experiments with the pendulum1 that the operating energy is initially communicated from an outside source1 say the hand of the observer4 ,this energy is1 therefore1 the acting energy which must be traced through all its various phases from its origin to its final destination4 ,at the outset1 it may be pointed out that this energy1 applied by hand1 is obtained from the original rotational energy of the earth by certain definite energy processes4 ,due to the influences of various incepting fields which emanate from the sun 7,secs4 #ag-ai71 a portion of the earth's rotational energy is transformed into that form of plant energy which is stored in plant tissue1 and which1 by the physico-chemical processes of digestion1 is in turn converted into heat and the various other forms of energy associated with the human frame4 ,this1 then1 is the origin of the energy communicated to the pendulum4 ,its progress through that machine has already been described in detail 7,secs4 #ba-bf74 ,the transformation of energy of motion to energy of position which takes place is in itself a reversible process and may in the meantime be neglected4 ,but the final result of the operations1 at the bearing surfaces and in the air masses surrounding the moving pendulum1 was shown to be1 in each case1 that heat energy was communicated to these air masses4 ,the effect of the heat energy thus impressed1 is to cause the expansion of the air and its elevation from the surface of the earth in the lines or field of the gravitative attraction1 so that this heat energy is transformed1 and resides in the air masses as energy of position4 ,the energy then1 originally drawn from the rotational energy of the earth1 has thus worked through the pendulum machine1 and is now stored in the air masses in this form of energy of position4 ,to make the process complete and cyclical this energy must now1 therefore1 be returned once more to the earth in its original rotational form4 ,this final step is carried out in the atmospheric machine 7,sec4 #da74 ,in this machine1 therefore1 the energy of position possessed by the air masses is1 in their descent to their original positions at lower levels1 transformed once more into axial or rotational energy4 ,in this fashion this series of secondary processes1 involving both transformations and transmissions1 is linked to the great atmospheric process4 ,the amount of energy which operates through the particular chain of processes we have described is1 of course1 exceedingly small1 but in this or a similar manner all secondary operations1 great or small1 are associated with the atmospheric machine4 ,instances could readily be multiplied1 but a little reflection will show how almost every energy operation1 no matter what may be its nature1 whether physical1 chemical1 or electrical1 leads inevitably to the communication of energy to the atmospheric air masses and to their consequent upraisal4 ,it is interesting to note the infallible tendency of energy to revert to its original form of axial energy1 or energy of rotation1 by means of the air machine4 ,all ,nature bears witness to this tendency1 and although the path of energy through the maze of terrestrial transformation often appears tortuous and uncertain1 its final destination is always sure4 ,the secondary operations are thus interlinked into one great whole by their association in the terrestrial energy cycle4 ,many of these secondary operations are of short duration2 others extend over long periods of time4 ,energy1 in some cases1 appears to slumber1 as in the coal seams of the earth1 until an appropriate stimulus is applied1 when it enters into active operation once more4 ,the cyclical operations are thus long or short according to the duration of their constituent secondary energy processes4 ,but the balance of ,nature is ever preserved4 ,axial energy1 transformed by the working of one cyclical process1 is being as continuously returned by the simultaneous operation of others4 ,,part ,,iii ,,terrestrial ,,conditions #cc4 ,gaseous ,expansion ,before proceeding to the general description of the atmospheric machine 7,sec4 #aj71 it is desirable to consider one or two features of gaseous reaction which have a somewhat important bearing on its working4 ,let it be assumed that a mass of gaseous material is confined within the lower portion of a narrow tube ,,abcd 7,fig4 #h7 assumed to be thermally non-conducting2 the upper portion of the tube is in free communication with the atmosphere4 ,the gas within the tube is assumed to be isolated from the atmosphere by a movable piston ,,ef1 free to move vertically in the tube1 and for the purpose of illustration1 assumed also frictionless and weightless4 ,with these assumptions1 the pressure on the confined gas will simply be that due to the atmosphere4 ,if heat energy be now applied to the gas1 its temperature will rise and expansion will ensue4 ,this expansion will be carried out at constant atmospheric pressure2 the gaseous material1 as it expands1 must lift with it the whole of the superimposed atmospheric column against the downward attractive force of the earth's gravitation on that column4 ,work is thus done by the expanding gas1 and in consequence of this work done1 a definite quantity of atmospheric material gains energy of position or potential energy relative to the earth's surface4 ,at the same time1 the rise of temperature of the gas will indicate an accession of heat energy to its mass4 ,these familiar phenomena of expansion under constant pressure serve to illustrate the important fact that1 when heat energy is applied to a gaseous mass1 it really manifests itself therein in two aspects1 namely1 heat energy and work energy4 ,the increment of heat energy is indicated by the increase in temperature1 the increment of work energy by the increase in pressure4 ,in the example just quoted1 however1 there is no increase in pressure1 because the work energy1 as rapidly as it is applied to the gas1 is transformed or worked down in displacing the atmospheric column resting on the upper side of the moving piston4 ,the energy applied1 in the form of heat from the outside source1 has in reality been introduced into a definite energy machine1 a machine in this case adapted for the complete transformation of work energy into energy of position4 ,as already indicated1 when the expansive movement is completed1 the volume and temperature of the gaseous mass are both increased but the pressure remains unaltered4 ,while the increase in temperature is the measure and index of a definite increase in the heat energy of the gas1 it is important to note that1 so far as its work energy is concerned1 the gas is finally in precisely the same condition as at the commencement of the operation4 ,work energy has been1 by the working of this energy machine1 as it were passed through the gaseous mass into the surrounding atmosphere4 ,the pressure of the gas is the true index of its work energy properties4 ,so long as the pressure remains unaltered1 the inherent work energy of the material remains absolutely unaffected4 ,a brief consideration of the nature of work energy as already portrayed 7,sec4 #ca7 will make this clear4 ,work energy has been defined as that form of energy transmitted by matter in motion1 and it is clear that pressure is the essential factor in any transmission of this nature4 ,temperature has no direct bearing on it whatever4 ,it is common knowledge1 however1 that in the application of heat energy to a gaseous substance1 the two aspects of pressure and temperature cannot be really dissociated4 ,they are mutually dependent4 ,any increment of heat energy to the gas is accompanied by an increment of work energy1 and vice versa4 ,the precise mode of action of the work energy will1 of course1 depend on the general circumstances of the energy machine in which it operates4 ,in the case just considered the work energy does not finally reside in the gaseous mass itself1 but1 by the working of the machine1 is communicated to the atmosphere4 ,if1 on the other hand1 heat energy were applied in the same fashion to a mass of gas in a completely enclosed vessel1 that is to say at constant volume instead of at constant pressure1 the general phenomena are merely altered in degree according to the change in the precise nature of the energy machine4 ,in the former case1 the nature of the energy machine was such that the work energy communicated was expended in its entirety against gravitation4 ,under what is usually termed constant volume conditions1 only a portion of the total work energy communicated is transformed1 and the transformation of this portion is carried out1 not against gravitation1 but against the cohesive forces of the material of the enclosing vessel which restrains the expansion4 ,no matter how great may be the elastic properties of this material1 it will be distorted1 more or less1 by the application of work energy4 ,this distortional movement is the external evidence of the energy process of transformation4 ,energy is stored in the material against the forces of cohesion 7,sec4 #ae74 ,but the energy thus stored is only a small proportion of the total work energy which accrues to the gas in the heating process4 ,the remainder is stored in the gas itself1 and the evidence of such storage is found simply in the increase of pressure4 ,different energy machines thus offer different facilities for the transformation or the storage of the applied energy4 ,in every case where the work energy applied has no opportunity of expending itself1 its presence will be indicated by an increase in the pressure or work function of the gas4 ,illustration3 ,,fig4 #h ,the principles which underlie the above phenomena can readily be applied to other cases of gaseous expansion4 ,it is a matter of common experience that if a given mass of gaseous material be introduced into a vessel which has been exhausted by an air-pump or other device for the production of a vacuum1 the whole space within the vessel is instantly permeated by the gas1 which will expand until its volume is precisely that of the containing vessel4 ,further phenomena of the operation are that the expanding gas suffers a decrease in temperature and pressure corresponding to the degree or ratio of the expansion4 ,before the expansive process took place the gaseous mass1 as indicated by its initial temperature and pressure1 is endowed with a definite quantity of energy in the form of heat and work energy4 ,after expansion1 these quantities are diminished1 as indicated by its final and lower temperature and pressure4 ,the operation of expansion has thus involved an expenditure of energy4 ,this expenditure takes place in virtue of the movement of the gaseous material 7,sec4 #d74 ,it is obvious that if the volume of the whole is to be increased1 each portion of the expanding gas requires to move relatively to the remainder4 ,this movement is carried out in the lines of the earth's gravitative attraction1 and to a certain extent over the surface of the containing vessel4 ,in some respects1 it thus corresponds simply to the movement of a body over the earth's surface 7,sec4 #af74 ,it is also carried out against the viscous or frictional forces existing throughout the gaseous material itself 7,sec4 #bi74 ,assuming no influx of energy from without1 the energy expended in the movement of the gaseous material must be obtained at the expense of the inherent heat and work energy of the gas1 and these two functions will decrease simultaneously4 ,the heat and work energy of the gas or its inherent energy is thus taken to provide the energy necessary for the expansive movement4 ,this energy1 however1 does not leave the gas1 but still resides therein in a form akin to that of energy of position or separation4 ,it will be clear also1 that the reverse operation cannot1 in this case1 be carried out2 the gas cannot move back to its original volume in the same fashion as it expanded into the vacuum1 so that the energy utilised in this way for separation cannot be directly returned4 ,the expansion of the gas has been assumed above to take place into a vacuous space1 but a little consideration will show that this condition cannot be properly or even approximately fulfilled under ordinary experimental conditions4 ,the smallest quantity of gas introduced into the exhausted vessel will at once completely fill the vacuous space1 and1 on this account1 the whole expansion of the gas does not in reality take place in vacuo at all4 ,to study the action of the gas under the latter conditions1 it is necessary to look on the operation of expansion in a more general way1 which might be presented as follows4 #cd4 ,gravitational ,equilibrium of ,gases ,consider a planetary body1 in general nature similar to the earth1 but1 unlike the earth1 possessing no atmosphere whatever4 ,the space surrounding such a celestial mass may then be considered as a perfect vacuum4 ,now let it be further assumed that in virtue of some change in the conditions1 a portion of the material of the planetary mass is volatilised and a mass of gas thereby liberated over its surface4 ,the gas is assumed to correspond in temperature to that portion of the planet's surface with which it is in contact4 ,it is clear that1 in the circumstances1 the gas1 in virtue of its elastic and energetic properties1 will expand in all directions4 ,it will completely envelop the planet1 and it will also move radially outwards into space4 ,in these respects1 its expansion will correspond to that of a gas introduced into a vacuous space of unlimited extent4 ,the question now arises as to the nature of the action of the gaseous substance in these circumstances4 ,it is clear that the radial or outward movement of the gas from the planetary surface is made directly against the gravitative attraction of the planet on the gaseous mass4 ,in other words1 matter or material is being moved in the lines or field of this gravitative force4 ,this movement1 accordingly1 will be productive of an energy transformation 7,sec4 #d74 ,in its initial or surface condition each portion of the gaseous mass is possessed of a perfectly definite amount of energy indicated by and dependent on that condition4 ,as it moves upwards from the surface1 it does work against gravity in the raising of its own mass4 ,but as the mass is thus raised1 it is gaining energy of position 7,sec4 #bj71 and as it has absolutely no communication with any external source of energy in its ascent1 the energy of position thus gained can only be obtained at the expense of its initial inherent heat and work energy4 ,the operation is1 in fact1 a simple transformation of this inherent energy into energy of position1 a transformation in which gravity is the incepting agency4 ,the external evidence of transformation will be a fall in temperature of the material4 ,since the action is exactly similar for all ascending particles1 it is evident that as the altitude of the gaseous mass increases the temperature will correspondingly diminish4 ,this diminution will proceed so long as the gaseous particles continue to ascend1 and until an elevation is finally attained at which their inherent energy is entirely converted into energy of position4 ,the expansion of the gas1 and the associated transformation of energy1 thus leads to the erection of a gaseous column in space1 the temperature of which steadily diminishes from the base to the summit4 ,at the latter elevation1 the inherent energy of the gaseous particles which attain to it is completely transformed or worked out against gravity in the ascent2 the energy possessed by the gas at this elevation is1 therefore1 entirely energy of position2 the energy properties of heat and work have entirely vanished1 and the temperature will1 therefore1 at this elevation1 be absolute zero4 ,it is important to note also that in the building of such a column or gaseous spherical envelope round the planet1 the total energy of any gaseous particle of that column will remain unchanged throughout the process4 ,no matter where the particle may be situated in the column1 its total energy must always be expressed by its heat and work energy properties together with its energy of position4 ,this sum is always a constant quantity4 ,for if the particle descends from a higher to a lower altitude1 its total energy is still unchanged1 because a definite transformation of its energy of position takes place corresponding to its fall1 and this transformed energy duly appears in its original form of heat and work energy in accordance with the decreased altitude of the particle4 ,since the temperature of the column remains unchanged at the base surface and only decreases in the ascent1 it is clear that the entire heat and work energy of the originally liberated gaseous mass is not expended in the movement against gravity4 ,every gaseous particle--excepting those on the absolute outer surface of the gaseous envelope--has still the property of temperature4 ,it is evident1 therefore1 that in the constitution of the column1 only a portion of the total original heat and work energy of the gaseous substance is transformed into energy of position4 ,the space into which the gas expands has been referred to as unlimited in extent4 ,but although in one sense it may be correctly described thus1 yet in another1 and perhaps in a truer sense1 the space is very strictly limited4 ,it is true there is no enclosing vessel or bounding surface1 but nevertheless the expansion of the gas is restrained in two ways or limited by two factors4 ,the position of the bounding surface of the spherical gaseous envelope depends1 in the first place1 on the original energy of the gas as deduced from its initial temperature and its other physical properties1 and secondly on the value of the gravitative attraction exerted on the gas by the planetary body4 ,looking at the first factor1 it is obvious that since the gaseous mass initially possesses only a limited amount of energy1 and since only a certain portion of this energy is really available for the transformation1 the whole process is thereby limited in extent4 ,the complete transformation and disappearance of that available portion of the gaseous energy in the process of erection of the atmospheric column will correspond to a definite and limited increase of energy of position of gaseous material4 ,since the energy of position is thus restricted in its totality1 and the mass of material for elevation is constant1 the height of the column or the boundary of expansion of the gas is likewise rigidly defined4 ,in this fashion1 the energy properties of the gaseous material limit the expansive process4 ,looking at the operation from another standpoint1 it is clear that the maximum height of the spherical gaseous envelope must also be dependent on the resistance against which the upward movement of the gas is carried out1 that is1 on the value of the gravitative attraction4 ,the expenditure of energy in the ascent varies directly as the opposing force2 if this force be increased the ultimate height must decrease1 and vice versa4 ,each particle might be regarded as moving in the ascent against the action of an invisible spring1 stretching it so that with increase of altitude more and more of the energy of the particle is transformed or stored in the spring in the extension4 ,when the particle descends to its original position1 the operation is reversed2 the spring is now contracting1 and yielding up the stored energy to the particle in the contraction4 ,the action of the spring would here be merely that of an apparatus for the storage and return of energy4 ,in the case of the gaseous mass1 we conceive the action of gravitation to be exactly analogous to that of a spring offering an approximately constant resistance to extension4 7,the value of gravity is assumed approximately constant1 and independent of the particle's displacement47 ,the energy stored or transformed in the ascension against gravity is returned on the descent in a precisely similar fashion4 ,the operation is a completely reversible one4 ,the range of motion of the gaseous mass or the ultimate height of the gaseous column will thus depend on the value of the opposing attractive force controlling the motion or1 in other words1 on the value of gravity4 ,this value is of course defined by the relative mass of the planet 7,sec4 #bj74 ,it is evident that the spherical envelope which would thus enwrap the planetary mass possesses certain peculiar properties which are not associated with gaseous masses under ordinary experimental conditions4 ,it by no means corresponds to any ordinary body of gaseous material1 having a homogeneous constitution and a precise and determinate pressure and temperature throughout4 ,on the contrary1 its properties are somewhat complex4 ,throughout the gaseous envelope the physical condition of the substance is continually changing with change of altitude4 ,the extremes are found at the inner and outer bounding surfaces4 ,at any given level1 the gaseous pressure is simply the result of the attractive action of gravitation on the mass of gaseous material above that level--or1 more simply1 to the weight of material above that level4 ,there is1 of course1 a certain decrease in the value of the gravitative attraction with increase of altitude1 but within the limits of atmospheric height obtained by ordinary gaseous substances 7,sec4 #cf7 this decrease may be neglected1 and the weight of unit mass of the material assumed constant at different levels4 ,increase of atmospheric altitude is thus accompanied by decrease in atmospheric pressure4 ,but decrease in pressure must be accompanied by a corresponding decrease in density of the gas1 so that1 if uniform temperature were for the time being assumed1 it would be necessary at the higher levels to rise through a greater distance to experience the same decrease in pressure than at the lower levels4 ,in fact1 given uniform conditions of temperature1 if different altitudes were taken in arithmetical progression the respective pressures and densities would diminish in geometrical progression4 ,but we have seen that the energy conditions absolutely preclude the condition of uniformity of temperature1 and accordingly1 the decreasing pressure and density must be counteracted to some extent at least by the decreasing temperature4 ,the conditions are somewhat complex2 but the general effect of the decreasing temperature factor would seem to be by increasing the density to cause the available gaseous energy to be completely worked down at a somewhat lower level than otherwise1 and thus to lessen to some degree the height of the gaseous envelope4 ,it is to be noted that a gaseous column or atmosphere of this nature would be in a state of complete equilibrium under the action of the gravitative attraction--provided there were no external disturbing influences4 ,the peculiar feature of such a column is that the total energy of unit mass of its material1 wherever that mass may be situated1 is a constant quantity4 ,in virtue of this property1 the equilibrium of the column might be termed neutral or statical equilibrium4 ,the gas may then be described as in the neutral or statical condition4 ,this statical condition of equilibrium of a gas is of course a purely hypothetical one4 ,it has been described in order to introduce certain ideas which are essential to the discussion of energy changes and reactions of gases in the lines of gravitational forces4 ,these reactions will now be dealt with4 #ce4 ,total ,energy of ,gaseous ,substances ,since the maximum height of a planetary atmosphere is dependent on the total energy of the gaseous substance or substances of which it is composed1 it becomes necessary1 in determining this height1 to estimate this total energy4 ,this1 however1 is a matter of some difficulty4 ,by the total energy is here meant the entire energy possessed by the substance1 that energy which it would yield up in cooling from its given condition down to absolute zero of temperature4 ,on examination of the recorded properties of the various gaseous substances familiar to us1 it will be found that in no single instance are the particulars available for anything more than an exceedingly rough estimate of this total energy4 ,each substance1 in proceeding from the gaseous condition towards absolute zero1 passes through many physical phases4 ,in most cases1 there is a lack of experimental phenomena or data of any kind relating to certain of these phases2 the necessary information on certain points1 such as the values and variations of latent and specific heats and other physical quantities1 is1 in the meantime1 not accessible4 ,experimental research in regions of low temperature may be said to be in its infancy1 and the properties of matter in these regions are accordingly more or less unknown4 ,the researches of ,mendeleef and others tend to show1 also1 that the comparatively simple laws successfully applied to gases under normal conditions are entirely departed from at very low temperatures4 ,in view of these facts1 it is necessary1 in attempting to estimate1 by ordinary methods1 the total energy of any substance1 to bear in mind that the quantity finally obtained may only be a rough approximation to the true value4 ,these approximations1 however1 although of little value as precise measurements1 may be of very great importance for certain general comparative purposes4 ,keeping in view these general considerations1 it is now proposed to estimate1 under ordinary terrestrial atmospheric conditions1 the total energy properties of the three gaseous substances1 oxygen1 nitrogen1 and aqueous vapour4 ,the information relative to the energy calculation which is in the meantime available is shown below in tabular form4 ,as far as possible all the heat and other energy properties of each substance as it cools to absolute zero have been taken into account4 ,table of ,properties ---------------------------------------- -------------------------- ,i ,,ii ,,iii ,,iv ,v ,,vi ,,vii ---------------------------------------- -------------------------- ,specific ,evaporation ,heat at ,temperature of ,liquid ,approximate ,latent ,vapour ,gas ,constant at ,atmospheric ,latent ,heat ,heat of,pressure4 ,pressure4 ,pressure4 of ,gas #ej deg4 ,f4,liquid4 #ej deg4 ,f4 deg4,f4 deg4,f4 7,abs47 ---------------------------------------- -------------------------- ,oxygen #j4bage -#bif #afd #ajj 444 444 ---------------------------------------- -------------------------- ,nitrogen #j4bdch -#cbj #ada #ajj 444 444 ---------------------------------------- -------------------------- ,aqueous ,vapour #j4d #bab #fgc #ajhj #add #j4agf ---------------------------------------- -------------------------- ,since no reliable data can be obtained with regard to the values and variations of specific heats at extremely low temperatures1 they are assumed for the purpose of our calculation to be in each case that of the gas1 and to be constant under all conditions4 ,latent heats are utilised in every case when available4 ,with these reservations1 the total energy1 referred to absolute zero1 of one pound of oxygen gas at normal temperature of #ej deg4 ,f4 or #eaa deg4 ,f4 7,abs47 will be approximately 7#eaa x #j4bage7 #ajj #baa ,thermal ,units ,fahrenheit4 ,this in work units is roughly equivalent to #baa x #ggh #afd1jjj ft4 lbs4 ,adopting the same method with nitrogen gas1 its energy at the same initial temperature will be1 per unit mass1 #agd1fjj ft4 lbs4 ,there is thus a somewhat close resemblance1 not only in the general temperature conditions but also in the energy conditions1 of the two gases oxygen and nitrogen4 ,it will be readily seen1 however1 that under the same conditions the energy state of aqueous vapour differs very considerably from either1 for by the same method as before the energy per pound of aqueous vapour is equal to 7#eaa x #j4d7 #ajhj #add x #ggh #a1aaa1jjj ft4 lbs4 ,under ordinary terrestrial atmospheric conditions1 the energy of aqueous vapour per unit mass is thus nearly seven times as great as that of either oxygen or nitrogen gas4 ,it is to be observed1 also1 that three-fourths of this energy of the vapour under the given conditions is present in the form of latent energy of the gas1 or what we have already termed work energy4 ,the values of the various temperatures and other physical features1 which we have included in the ,table of ,properties above1 and which will be utilised throughout this discussion1 are merely those in everyday use in scientific work4 ,they form simply the accessible information on the respective materials4 ,they are the records of phenomena1 and on these phenomena are based our energy calculations4 ,further research may reveal the true values of other factors which up to the present we have been forced to assume1 and so lead to more accurate computation of the energy in each case4 ,such investigation1 however1 is unlikely to affect in any way the general object of this part of the work1 which is simply to portray in an approximate manner the relative energy properties of the three gaseous substances under certain assumed conditions4 #cf4 ,comparative ,altitudes of ,planetary ,atmospheres ,the total energy of equal masses of the gases oxygen1 nitrogen1 and aqueous vapour1 as estimated by the method above1 are respectively in the ratios #a 3 #a4jf 3 #f4h ,referring back once more to the phenomena described with reference to the gravitational equilibrium of a gas1 let it be assumed that the gaseous substance liberated on the surface of the planetary body is oxygen1 and that the planetary body itself is of approximately the same constitution and dimensions as the earth4 ,the oxygen gas thus liberated will expand against gravity1 and envelop the planet in the manner already described 7,sec4 #cd74 ,now the total energy of a mass of one pound of oxygen has been estimated under certain assumptions 7,sec4 #ce7 to be #afd1jjj ft4 lbs4 ,the value of the gravitative attraction of the planet on this mass is the same as under ordinary terrestrial conditions1 so that if the entire energy of one pound of the gas were utilised in raising itself against gravity1 the height through which this mass would be raised1 and at which the material would attain the level of absolute zero of temperature1 assuming gravity constant with increasing altitude1 would be simply #afd1jjj ft4 or approximately #ca miles4 ,the whole energy would not1 of course1 be expended in the expansive movement2 only the outermost surface material of the planetary gaseous envelope attains to absolute zero of temperature4 ,in estimating the altitude of this surface1 however1 the precise mass of gaseous substance assumed for the purpose of calculation is of little or no importance4 ,whatever may be the value of the mass assumed1 its total energy and the gravitative attraction of the planetary body on it are both alike entirely and directly dependent on that mass value4 ,it is therefore clear that no matter how the mass under consideration be diminished1 the height at which its energy would be completely worked down1 and at which its temperature would be absolute zero1 is the same1 namely #ca miles4 ,at the planet's surface1 the total energy of an infinitesimally small portion of the gaseous mass is proportional to that mass4 ,this amount of energy is1 however1 all that is available for transformation against gravitation in the ascent4 ,but at the same time1 the gravitative force on the particle1 that force which resists its upward movement1 is proportionately small corresponding to the small mass1 so that the particle will in reality require to rise to the same altitude of #ca miles in order to completely transform its energy and attain absolute zero of temperature4 ,when the expansive process is completed1 the outer surface of the spherical gaseous envelope surrounding the planet is then formed of matter in this condition of absolute zero2 this height of #ca miles is then the altitude or depth of the statical atmospheric column at a point on the planetary surface where the temperature is #ej deg4 ,f4 ,it is to be particularly noted that this height is entirely dependent on the gravitation1 temperature1 and energy conditions assumed4 ,with respect1 also1 to the assumption made above1 of constant gravitation with increasing altitude1 the variation in the value of gravity within the height limits in which the gas operates is so slight1 that the energy of the expanding substance is completely worked down long before the variation appreciably affects the estimated altitude of absolute zero4 ,in any case1 bearing in mind the approximate nature of the estimate of the energy of the gases themselves1 the variation of gravity is evidently a factor of little moment in our scheme of comparison4 ,knowing the maximum height to be #ca miles1 a uniform temperature gradient from the planetary surface to the outermost surface of the atmospheric material may be readily calculated4 ,in the case of oxygen1 the decrease of temperature with altitude will be at the rate of #af deg4 ,f4 per mile1 or #a deg4 ,f4 per #ccj ft4 ,if the planetary atmosphere were composed of nitrogen instead of oxygen1 the height of the statical atmospheric column under the given conditions would then be approximately #ca x #a4jf #cc miles1 and the gradient of temperature #ae4e deg4 ,f4 per mile4 ,in the case of aqueous vapour1 which is possessed of much more powerful energy properties than either oxygen or nitrogen1 the height of the statical column1 to correspond to the energy of the material1 is no less than #baj miles and the temperature gradient only #b4d deg4 ,f4 per mile4 ,each of the gases1 then1 if separately associated with the planetary body1 would form an atmosphere around it depending in height on the peculiar energy properties of the gas4 ,a point to be observed is that the actual or total mass of any gas thus liberated at the planet's surface has no bearing on the ultimate height of the atmosphere which it would constitute4 ,when the expansive motion is completed1 the density properties of the atmosphere would of course depend on the initial mass of gas liberated1 but for any given value of gravity it is the energy properties of the gas per unit mass1 or what might be termed its specific energy properties1 which really determine the height of its atmosphere4 #cg4 ,reactions of ,composite ,atmosphere ,it is now possible to deal with the case in which not only one gas but several gases are initially liberated on the planetary surface4 ,since the gases are different1 then at the given surface temperature of the planet they possess different amounts of heat energy1 and for each gas considered statically1 the temperature-altitude gradient will be different from any of the others4 ,the limiting height of the gaseous column for each gas1 considered separately1 will also depend on the total energy of that gas per unit mass1 at the surface temperature4 ,but it is evident that in a composite atmosphere1 the separate statical conditions of several gases could not be maintained4 ,in such a mixture1 separate temperature-altitude gradients would be impossible4 ,absolute zero of temperature could clearly not be attained at more than one altitude1 and it is evident that the temperature-altitude gradient of the mixture must1 in some way1 settle down to a definite value1 and absolute zero of temperature must occur at some determinate height4 ,this can only be brought about by energy exchanges and reactions between the atmospheric constituents4 ,when these reactions have taken place1 the atmosphere as a whole will have attained a condition analogous to that of statical equilibrium 7,sec4 #cd74 ,each of its constituents1 however1 will have decidedly departed from this latter condition4 ,in the course of the mutual energy reactions1 some will lose a portion of their energy4 ,others will gain at their expense4 ,all are in equilibrium as constituents of the composite atmosphere1 but none approach the condition of statical equilibrium peculiar to an atmosphere composed of one gas only 7,sec4 #ce74 ,the precise energy operations which would thus take place in any composite atmosphere would of course depend in nature and extent on the physical properties of the reacting constituents4 ,if the latter were closely alike in general properties1 the energy changes are likely to be small4 ,a strong divergence in energy properties will give rise to more powerful reactions4 ,a concrete instance will perhaps make this more clear4 ,let it be assumed in the first place that the planetary atmosphere is composed of the two gases oxygen and nitrogen4 ,from previous considerations1 it will be clear that the natural decrease of temperature of nitrogen gas with increase of altitude is1 in virtue of its slightly superior energy qualities1 correspondingly slower than that of oxygen4 ,the approximate rates are #ae4e deg4 ,f4 and #af deg4 ,f4 per mile respectively4 ,the tendency of the nitrogen is therefore to transmit a portion of its energy to the oxygen4 ,such a transmission1 however1 would increase the height of the oxygen column and correspondingly decrease the height of the nitrogen4 ,when the balance is finally obtained1 the height of the atmospheric column does not correspond to the energy properties of either gas1 but to those of the combination4 ,in the case of these two materials1 oxygen and nitrogen1 the energy reactions necessary to produce the condition of equilibrium are comparatively small in magnitude on account of the somewhat close resemblance in the energy properties of the two substances4 ,on this account1 therefore1 the two gases might readily be assumed to behave as one gas composing the planetary atmosphere4 ,but what1 then1 will be the effect of introducing a quantity of aqueous vapour into an atmosphere this nature8 ,the general phenomena will be of the same order as before1 but of much greater magnitude4 ,from the approximate figures obtained 7,secs4 #ce1 #cf71 the inherent energy of aqueous vapour per unit mass is seen to be1 under the same conditions1 enormously greater than that of the other two gases4 ,in statical equilibrium 7,sec4 #cd71 the altitude of the gaseous column formed by aqueous vapour is almost seven times as great as that of the oxygen or nitrogen with which1 in the composite atmosphere1 it would be intermixed4 ,in the given circumstances1 then1 aqueous vapour would be forced by these conditions to give up a very large portion of its energy to the other atmospheric constituents4 ,the latter would thus be still further expanded against gravity2 the aqueous vapour itself would suffer a loss of energy equivalent to the work transmitted from it4 ,it is therefore clear that in a composite atmosphere formed in the manner described1 any gas possessed of energy properties superior to the other constituents is forced of necessity to transmit energy to these constituents4 ,this phenomenon is merely a consequence of the natural disposition of the atmospheric gaseous substances towards a condition of equilibrium with more or less uniform temperature gradation4 ,the greater the inherent energy qualities of any one constituent relative to the others1 the greater will be the quantity of energy transmitted from it in this way4 #ch4 ,description of ,terrestrial ,case ,bearing in mind the general considerations which have been advanced above with respect to planetary atmospheres1 it is now possible to place before the reader a general descriptive outline of the circumstances and operation of an atmospheric machine in actual working4 ,the machine to be described is that associated with the earth4 ,in the earth is found an example of a planetary body of spheroidal form pursuing a clearly defined orbit in space and at the same time rotating with absolutely uniform velocity about a central axis within itself4 ,the structural details of its surface and the general distribution of material thereon will be more or less familiar to the reader1 and it is not1 therefore1 proposed to dwell on these features here4 ,attention may be drawn1 however1 to the fact that a very large proportion of the surface of the earth is a liquid surface4 ,of all the material familiar to us from terrestrial experience there is none which enters into the composition of the earth's crust in so large a proportion as water4 ,in the free state1 or in combination with other material1 water is found everywhere4 ,in the liquid condition it is widely distributed4 ,although the liquid or sea surface of the planet extends over a large part of the whole1 the real water surface1 that is1 the wetted surface1 if we except perhaps a few desert regions1 may be said to comprise practically the entire surface area of the planet4 ,and water is found not only on the earth's crust but throughout the gaseous atmospheric envelope4 ,the researches of modern chemistry have revealed the fact that the atmosphere by which the earth is surrounded is not only a mixture of gases1 but an exceedingly complex mixture4 ,the relative proportions of the rarer gases present are1 however1 exceedingly small1 and their properties correspondingly obscure4 ,taken broadly1 the atmosphere may be said to be composed of air and water 7in the form of aqueous vapour7 in varying proportion4 ,the former constituent exists as a mixture of oxygen and nitrogen gases of fairly constant proportion over the entire surface of the globe4 ,the latter is present in varying amount at different points according to local conditions4 ,this mixture of gaseous substances1 forming the terrestrial atmosphere1 resides on the surface of the planet and forms1 as already described 7,sec4 #cd71 a column or envelope completely surrounding it2 the quantity of gaseous material thus heaped up on the planetary surface is such that it exerts almost uniformly over that surface the ordinary atmospheric pressure of approximately #ad4g lb4 per sq4 inch4 ,it is advisable1 also1 at this stage to point out and emphasise the fact that the planetary atmosphere must be regarded as essentially a material portion of the planet itself4 ,although the atmosphere forms a movable shell or envelope1 and is composed of purely gaseous material1 it will still partake of the same complete orbital and rotatory axial motion as the solid core1 and will also be subjected to the same external and internal influences of gravitation4 ,such are the general planetary conditions4 ,let us now turn to the particular phenomena of axial revolution4 ,in virtue of the unvarying rotatory movement of the planetary mass in the lines of the various incepting fields of its primary the sun1 transformations of the axial or mechanical energy of the planet will be in continuous operation 7,secs4 #ag-ai74 ,although the gaseous atmospheric envelope of the planet partakes of this general rotatory motion under the influence of the incepting fields1 the latter have apparently no action upon it4 ,the sun's influence penetrates1 as it were1 the atmospheric veil1 and operating on the solid and liquid material below1 provokes the numerous and varied transformations of planetary energy which constitute planetary phenomena4 ,at the equatorial band1 where the velocity or axial energy properties of the surface material is greatest1 these effects of transformation will naturally be most pronounced4 ,in the polar regions of low velocity they will be less evident4 ,one of the most important of these transforming effects may be termed the heating action of the primary on the planet--a process which takes place in greater or less degree over the entire planetary surface1 and which is the result of the direct transformation of axial energy into the form of heat 7,sec4 #ah74 ,in virtue of this heat transformation1 or heating effect of the sun1 the temperature of material on the earth's surface is maintained in varying values from regions of high velocity to those of low--from equator to poles--according to latitude or according to the displacement of that material1 in rotation1 from the central axis4 ,owing to the irregular distribution of matter on the earth's surface1 and other causes to be referred to later1 this variation in temperature is not necessarily uniform with the latitude4 ,this heating effect of the sun on the earth will provoke on the terrestrial surface all the familiar secondary processes 7,sec4 #i7 associated with the heating of material4 ,most of these processes1 in combination with the operations of radiation and conduction1 will lead either directly or indirectly to the communication of energy to the atmospheric masses 7,sec4 #bg74 ,closely associated with the heat transformation1 there is also in operation another energy process of great importance4 ,this process is one of evaporative transformation4 ,reference has already been made to the vast extent of the liquid or wetted surface of the earth4 ,this surface forms the seat of evaporation1 and the action of the sun's incepting influence on the liquid of this surface is to induce a direct transformation of the earth's axial or mechanical energy into the elastic energy of a gas1 or in other words into the form of work energy4 ,by this process1 therefore1 water is converted into aqueous vapour4 ,immediately the substance attains the latter or gaseous state it becomes unaffected by1 or transparent to1 the incepting influence of the sun 7,sec4 #ah74 ,and the action of evaporation is not restricted in locality to the earth's surface only4 ,it may proceed throughout the atmosphere4 ,wherever condensation of aqueous vapour takes place and water particles are thereby suspended in the atmosphere1 these particles are immediately susceptible to the sun's incepting field1 and if the conditions are otherwise favourable1 re-evaporation will at once ensue4 ,like the ordinary heating action also1 that of transformation will take place with greater intensity in equatorial than in polar regions4 ,these two planetary secondary processes1 of heating and evaporation1 are of vital importance to the working of the atmospheric machine4 ,but1 as already pointed out elsewhere 7,secs4 #aj1 #cb71 every secondary operation is in some fashion linked to that machine4 ,other incepting influences1 such as light1 are in action on the planet1 and produce transformations peculiar to themselves4 ,these1 in the meantime1 will not be considered except to point out that in every case the energy active in them is the axial energy of the earth itself operating under the direct incepting influence of the sun4 ,the general conditions of planetary revolution and transformation are thus intimately associated with the operation of the atmospheric machine4 ,in this machine is embodied a huge energy process1 in the working of which the axial energy of the earth passes through a series of energy changes which1 in combination1 form a complete cyclical operation4 ,in their perhaps most natural sequence these processes are as follows3-- #a4 ,the direct transformation of terrestrial axial energy into the work energy of aqueous vapour4 #b4 ,the direct transmission of the work energy of aqueous vapour to the general atmospheric masses1 and the consequent elevation of these masses from the earth's surface against gravity4 #c4 ,the descent of the atmospheric air masses in their movement towards regions of low velocity1 and the return in the descent of the initially transformed axial energy to its original form4 ,the first of these processes is carried out through the medium of the aqueous material of the earth4 ,it is simply the evaporative transformation referred to above4 ,by that evaporative process a portion of the energy of motion or axial energy of the earth is directly communicated or passed into the aqueous material4 ,its form1 in that material1 is that of work energy1 or the elastic energy of aqueous vapour1 and1 as already pointed out1 this process of evaporative transformation reaches its greatest intensity in equatorial or regions of highest velocity4 ,in these regions also1 in virtue of the working of the heat process already referred to above1 the temperature conditions are eminently favourable to the presence of large quantities of aqueous vapour4 ,the tension or pressure of the vapour1 which really depends on the quantity of gaseous material present1 is directly proportional to the temperature1 so that in equatorial regions not only is the general action of transformation in the aqueous material most intense1 but the surrounding temperature conditions in these regions are such as to favour the continuous presence of large quantities of the aqueous vapour which is the direct product of the action of transformation4 ,the equatorial regions of the earth1 or the regions of high velocity1 are thus eminently adapted1 by the natural conditions1 to be the seat of the most powerful transformations of axial energy4 ,as already pointed out1 however1 these same transformations take place over the entire terrestrial surface in varying degree and intensity according to the locality and the temperature or other conditions which may prevail4 ,now this transformation of axial energy which takes place through the medium of the evaporative process is a continuous operation4 ,the energy involved1 which passes into the aqueous vapour1 augmented by the energy of other secondary processes 7,sec4 #cb71 is the energy which is applied to the atmospheric air masses in the second stage of the working of the atmospheric machine4 ,before proceeding to the description of this stage1 however1 it is absolutely necessary to point out certain very important facts with reference to the energy condition of the atmospheric constituents in the peculiar circumstances of their normal working4 #ci4 ,relative ,physical ,conditions of ,atmospheric ,constituents ,it will be evident that no matter where the evaporation of the aqueous material takes place1 it must be carried out at the temperature corresponding to that location1 and since the aqueous vapour itself is not superheated in any way 7being transparent to the sun's influence71 the axial energy transformed and the work energy stored in the material per unit mass1 will be simply equivalent to the latent heat of aqueous vapour under the temperature conditions which prevail4 ,in virtue of the relatively high value of this latent heat under ordinary conditions1 the gas may be regarded as comparatively a very highly energised substance4 ,it is clear1 however1 that since the gas is working at its precise temperature of evaporation1 the maximum amount of energy which it can possibly yield up at that temperature is simply this latent heat of evaporation1 and if this energy be by any means withdrawn1 either in whole or in part1 then condensation corresponding to the energy withdrawal will at once ensue4 ,the condition of the aqueous vapour is in fact that of a true vapour1 or of a gaseous substance operating exactly at its evaporation temperature1 and unable to sustain even the slightest abstraction of energy without an equivalent condensation4 ,no matter in what manner the abstraction is carried out1 whether by the direct transmission of heat from the substance or by the expansion of the gas against gravity1 the result is the same2 part of the gaseous material returns to the liquid form4 ,in the case of the more stable or permanent constituents of the atmosphere1 namely oxygen and nitrogen1 their physical conditions are entirely different from that of the aqueous vapour4 ,examination of the ,table of ,properties 7p4 #acc7 shows that the evaporation temperatures of these two substances under ordinary conditions of atmospheric pressure are as low as -#bif deg4 ,f4 and -#cbj deg4 ,f4 respectively4 ,at an ordinary atmospheric temperature of say #ej deg4 ,f4 these two gases are therefore so far above their evaporation temperature that they are in the condition of what might be termed true gaseous substances4 ,although only at a temperature of #ej deg4 ,f41 they may be truly described as highly superheated gases1 and it is evident that they may be readily cooled from #ej deg4 ,f4 through wide ranges of temperature1 without any danger of their condensation or liquefaction4 ,oxygen and nitrogen gases thus present in their physical condition and qualities a strong contrast to aqueous vapour1 and it is this difference in properties1 particularly the difference in evaporation temperatures1 which is of vital importance in the working of the atmospheric machine4 ,the two gases oxygen and nitrogen are1 however1 so closely alike in their general energy properties that1 in the meantime1 the atmospheric mixture of the two can be conveniently assumed to act simply as one gas--atmospheric air4 ,from these considerations of the ordinary atmospheric physical properties of air and aqueous vapour it may be readily seen how each is eminently adapted to its function in the atmospheric process4 ,the peculiar duty of the aqueous vapour is the absorption and transmission of energy4 ,its relatively enormous capacity for energy1 the high value of its latent heat at all ordinary atmospheric temperatures1 and the fact that it must always operate precisely at its evaporation temperature makes it admirably suited for both functions4 ,thus1 in virtue of its peculiar physical properties1 it forms an admirable agent for the storage of energy and for its transmission to the surrounding air masses4 ,the low temperature of evaporation of these air masses ensures their permanency in the gaseous state4 ,they are thus perfectly adapted for expansive and other movements1 for the conversion of their energy against gravity into energy of position1 or for any other reactions involving temperature change without condensation4 #dj4 ,transmission of ,energy from ,aqueous ,vapour to ,air ,masses ,the working of the second or transmission stage of the atmospheric machine involves certain energy operations in which gravitation is the incepting factor or agency4 ,let it be assumed that a mass of aqueous vapour liberated at its surface of evaporation by the transformation of axial energy1 expands upwards against the gravitative attraction of the earth 7,secs4 #cd1 #ch74 ,as the gaseous particles ascend and thus gain energy of position1 they do work against gravity4 ,this work is done at the expense of their latent energy4 ,since the aqueous material is always working precisely at its evaporation temperature1 this gain in energy of position and consequent loss of latent energy will be accompanied by an equivalent condensation and conversion of the rising vapour into the liquid form4 ,this condensation will thus be the direct evidence and measure of work done by the aqueous material against the gravitational forces1 and the energy expended or worked down in this way may now1 accordingly1 be regarded as stored in the condensed material or liquid particles in virtue of their new and exalted position above the earth's surface4 ,it is this energy which is finally transmitted to the atmospheric air masses4 ,the transmission process is carried out in the downward movement of the liquid particles4 ,the latter1 in their exalted positions1 are at a low temperature corresponding to that position--that is1 corresponding to the work done--and provided no energy were transmitted from them to the surrounding air masses1 their temperature would gradually rise during the descent by the transformation of this energy of position4 ,in fact the phenomena of descent1 supposing no transmission of energy from the aqueous material1 would simply be the reverse of the phenomena of ascent4 ,since1 however1 the energy of position which the liquid particles possess is transmitted from them to the atmospheric masses1 then it follows that this natural increase in their temperature would not occur in the descent4 ,a new order of phenomena would now appear4 ,since the evaporative process is a continuous one1 the liquid particles in their downward movement must be in intimate contact with rising gaseous material1 and these liquid particles will1 accordingly1 at each stage of the descent1 absorb from this rising material the whole energy necessary to raise their temperature to the values corresponding to their decreasing elevation4 ,in virtue of this absorption of energy then1 from the rising material1 these liquid particles are enabled to reach the level of evaporation at the precise temperature of that level4 ,now1 considering the process as a whole1 it will be readily seen that for any given mass of aqueous material thus elevated from and returned to a surface of evaporation1 there must be a definite expenditure of energy 7axial energy7 at that surface4 ,since the material always regains the surface at the precise temperature of evaporation1 this expenditure is obviously1 in total1 equal to the latent heat of aqueous vapour at the surface temperature4 ,it may be divided into two parts4 ,one portion of the axial energy--the transmitted portion--is utilised in the elevation of the material against gravity2 the remainder is expended1 as explained above1 in the heating of the returning material4 ,the whole operation takes place between two precise temperatures1 a higher temperature1 which is that of the surface of evaporation1 and a lower temperature1 corresponding to the work done1 and so related to the higher that the whole of the energy expended by the working aqueous substance--in heating the returning material and in transmitted work--is exactly equivalent to the latent heat of aqueous vapour at the high or surface temperature4 ,but1 as will be demonstrated later1 the whole energy transmitted from the aqueous material to the air masses is finally returned in its entirety as axial energy1 and is thus once more made available in the evaporative transformation process4 ,the energy expended in raising the temperature of the working material returning to the surface of evaporation is obviously returned with that material4 ,both portions of the original expenditure are thus returned to the source in different ways4 ,the whole operation is1 in fact1 completely cyclical in nature2 we are in reality describing ,nature's ,perfect ,engine1 which is completely reversible and which has the highest possible efficiency4#a ,although the higher temperature at the evaporation surface may vary with different locations of that surface1 in every case the lower temperature is so related to it as to make the total expenditure precisely equal to the latent heat at that evaporation temperature4#b ,it must be borne in mind also1 that all the condensed material in the upper strata of the atmosphere must not of necessity return to the planetary liquid surface4 ,on the contrary1 immediately condensation of the aqueous vapour takes place and the material leaves the gaseous state1 no matter where that material is situated1 it is once more susceptible to the incepting influences of the sun4 ,re-evaporation may thus readily take place even at high altitudes1 and complete cyclical operations may be carried out there4 ,these operations will1 however1 be carried out in every case between precise temperature limits as explained above4 #a ,the conception of ,nature's ,perfect ,engine was originally arrived at by the author from consideration of the phenomena of the steam-engine4 ,the following extract from the ,review of his work 7#ahie7 illustrates the various stages which finally lead to that conclusion3-- ,my first steps in the right direction came about thus4 ,i had always been working with a cylinder and piston1 and could make no progress1 till at length it struck me to make my cylinder high enough to do without a piston--that is1 to leave the steam to itself and observe its behaviour when left to work against gravity4 ,the first thing ,i had to settle was the height of my cylinder4 ,and ,i found1 by calculation from ,regnault's experiments that it would require to be very high1 and that the exact height would depend on the temperature of the water in the boiler which was the bottom of this ideal cylinder4 ,now1 at any ordinary temperature the height was so great that it was impossible to get known material to support its own weight1 and ,i did not wish to use a hypothetical substance in the construction of this engine4 ,finally1 the only course left me was to abolish the cylinder as ,i had done the piston4 ,i then discovered that the engine ,i had been trying to evolve--the perfect engine--was not the ideal thing ,i had been groping after but an actual reality1 in full working order1 its operations taking place every day before my eyes4 ,every natural phenomenon fitted in exactly2 it had its function to perform1 and the performance of its function constituted the phenomenon4 ,let me trace the analogy in a few of its details4 ,the sea corresponds to the boiler2 its cylinder surrounds the earth2 it has for its fuel the axial energy of the earth2 it has no condenser because it has no exhaust2 the work it performs is all expended in producing the fuel4 ,every operation in the cycle is but an energy transformation1 and these various transformations constitute the visible life of the world4 #b ,for definite numerical examples see the author's ,terrestrial ,energy 7,chap4 #a474 ,it will be evident1 from a general consideration of this process of transmission of energy from the aqueous vapour1 that relatively large quantities of that vapour are not required in the atmosphere for the working of the gaseous machine4 ,the peculiar property of ready condensation of the aqueous vapour makes the evaporative process a continuous one1 and the highly energised aqueous material1 although only present in comparatively small amount1 contributes a continuous flow of energy1 and is thus able to steadily convey a very large quantity to the atmospheric masses4 ,for the same reason1 the greater part of the energy transmission from the aqueous vapour to the air will take place at comparatively low altitudes and between reasonably high temperatures4 ,the working of any evaporative cycle may also be spread over very large terrestrial areas by the free movement of the acting material4 ,aqueous vapour rising in equatorial regions may finally return to the earth in the form of ice-crystals at the poles4 ,in every complete cycle1 however1 the total expenditure per unit mass of material initially evaporated is always the latent heat at the higher or evaporation temperature2 in the final or return stages of the cycle1 any energy not transmitted to the air masses is devoted to the heating of returning aqueous material4 ,referring again to the transmitted energy1 and speaking in the broadest fashion1 the function of the aqueous vapour in the atmosphere may be likened to that of the steam in the cylinder of a steam-engine4 ,in both cases the aqueous material works in a definite machine for energy transmission4 ,in the case of the steam-engine work energy is transmitted 7,sec4 #ca7 from the steam through the medium of the moving piston and rotating shaft1 and thence may be further diverted to useful purposes4 ,in the planetary atmospheric machine the work energy of aqueous vapour is likewise transmitted by the agency of the moving air masses1 not to any external agent1 but back once more to its original source1 which is the planetary axial energy4 ,in neither case are we able to explain the precise nature of the transmission process in its ultimate details4 ,we cannot say how the steam transmits its work energy by the moving piston1 nor yet by what agency the elevated particles of aqueous material transmit their energy to the air masses4 ,our knowledge is confined entirely to the phenomena1 and1 fortunately1 these are in some degree accessible4 ,nature presents direct evidence that such transmissions actually take place4 ,this evidence is to be found1 in both cases1 in the condensation of the aqueous material which sustains the loss of its work energy4 ,in the engine cylinder condensation takes place due to work being transmitted from the steam2 in the atmosphere the visible phenomena of condensation are likewise the ever present evidence of the transmission of work energy from the aqueous vapour to the air masses4 ,in virtue of this accession of energy these masses will1 accordingly1 be expanded upwards against the gravitational attractive forces4 ,this upward movement1 being made entirely at the expense of energy communicated from the aqueous vapour1 is not accompanied by the normal fall of temperature due to the expansion of the air4 ,planetary axial energy1 originally absorbed by the aqueous vapour1 in the work form1 has been transferred to the air masses in the same form1 and is now1 after the expansive movement1 resident in these masses in the form of energy of position4 ,it is the function of the atmospheric machine in its final stage to return this energy in the original axial form4 #da4 ,terrestrial ,energy ,return ,let it be assumed that an atmospheric mass has been raised1 by the transmission of work energy1 to a high altitude in the equatorial regions of the earth4 ,the assumption of locality is made merely for illustrative purposes2 it will be evident to the reader that the transmission of work energy to the atmospheric masses and their consequent elevation will be continuously proceeding1 more or less1 over the whole planetary surface4 ,to replace the gaseous material thus raised1 a corresponding mass of air will move at a lower level1 towards the equator from the more temperate zones adjoining4 ,a circulatory motion will thus be set up in the atmosphere4 ,in the upper regions the elevated and energised air masses move towards the poles2 at lower levels the replacing masses move towards the equator1 and in their passage may be operated on by the aqueous vapour which they encounter1 energised1 and raised to higher levels4 ,the movement will be continuous4 ,in their transference from equatorial towards polar regions1 the atmospheric masses are leaving the surfaces or regions of high linear velocity for those of low1 and must in consequence lose or return in the passage a portion of that natural energy of motion which they possess in virtue of their high linear velocity at the equator4 ,but on the other hand1 the replacing air masses1 which are travelling in the opposite direction from poles to equator1 must gain or absorb a corresponding amount of energy4 ,the one operation thus balances the other1 and the planetary equilibrium is in no way disturbed4 ,but the atmospheric masses which are moving from the equator in the polar direction will possess1 in addition1 that energy of position which has been communicated to them through the medium of the aqueous vapour and by the working of the second stage of the atmospheric machine4 ,these masses1 in the circulatory polar movements1 move downwards towards the planetary surface4 ,in this downward motion 7as in the downward motion of a pendulum mass vibrating under the action of gravitation7 the energy of position of the air mass is converted once more into energy of motion--that is1 into its original form of axial energy of rotation4 ,in equatorial regions the really important energy property of the atmospheric mass was indicated by its elevation or its energy of position4 ,in the descent this energy is thus entirely transformed1 and reverts once more to its original form of energy of rotation4 ,the continual transformation of axial energy by the aqueous vapour1 and the conversion of that energy by the upward movement of the air masses into energy of position1 naturally tends to produce a retardative effect on the motion of revolution of the earth4 ,but this retardative effect is in turn completely neutralised or balanced by the corresponding accelerative effect due to the equally continuous return as the energy of the air masses reverts in the continuous polar movement to its original axial form4 ,speaking generally1 the equatorial regions1 or the regions of high velocity1 are the location of the most powerful transformation or abstraction of axial energy by the aqueous vapour4 ,conversely1 the polar or regions of low velocity are the location of the greatest return of energy by the air4 ,as no energy return is possible unless by the transference of the atmospheric material from regions of high to regions of low velocity1 the configuration of the planet in rotation must conform to this condition4 ,the spheroidal form of the earth is thus exquisitely adapted to the working of the atmospheric machine4 ,as already pointed out1 however1 the energising and raising of atmospheric masses is by no means confined to equatorial regions1 but takes place more or less over the whole planetary surface4 ,the same applies to the energy return4 ,the complete cycle may be carried out in temperate zones2 gaseous masses1 also1 leaving equatorial regions at high altitudes do not necessarily reach the polar regions1 but may attain their lowest levels at intermediate points4 ,neither do such masses necessarily proceed to the regions of low velocity by purely linear paths4 ,on the contrary1 they may and do move both towards the poles and downwards by circuitous and even vortical paths4 ,in fact1 as will be readily apparent1 their precise path is of absolutely no moment in the consideration of energy return4 ,it might naturally be expected that such movements of the atmospheric air masses as have been described above would give rise to great atmospheric disturbance over the earth's surface1 and that the transfer of gaseous material from pole to equator and vice versa would be productive of violent storms of wind4 ,such storms1 however1 are phenomena of somewhat rare occurrence2 the atmosphere1 on the whole1 appears to be in a state of comparative tranquillity4 ,this serenity of the atmosphere is1 however1 confined to the lower strata1 and may be ascribed to an inherent stability possessed by the air mass as a whole in virtue of the accession of energy to it at high levels4 ,as already explained1 the transfer of energy from the vapour to the air masses is accomplished at comparatively low altitudes1 and when this reaction is taking place the whole tendency of the energised material is to move upwards4 ,in so moving it tends to leave behind it the condensed aqueous vapour1 and would1 therefore1 rise to the higher altitudes in a comparatively dry condition4 ,this dryness is accentuated by the further loss of aqueous vapour by condensation as the air moves toward regions of low velocity4 ,that air which actually attains to the poles will be practically dry1 and having also returned1 in its entirety1 the surplus energy obtained from the aqueous vapour1 it will be in this region practically in the condition of statical equilibrium of a gas against gravity 7,sec4 #cd74 ,but the general state of the atmosphere in other regions where a transference of energy from the aqueous vapour has taken or is taking place is very different from this condition of natural statical equilibrium which is approached at the poles4 ,in the lower strata of the atmosphere the condition in some cases may approximate to the latter1 but in the upper strata it is possessed of energy qualities quite abnormal to statical equilibrium4 ,its condition is rather one of the nature of stable equilibrium4 ,it is in a condition similar to that of a liquid heated in its upper layers2 there is absolutely no tendency to a direct or vertical downward circulation4 ,in statical equilibrium1 any downward movement of an air mass would simply be accompanied by the natural rise in temperature corresponding to the transformation of its energy of position1 but in this condition of stable equilibrium any motion downwards must involve1 not only this natural temperature rise1 but also a return1 either in whole or in part1 of the energy absorbed from the aqueous vapour4 ,the natural conditions are therefore against any direct vertical return4 ,these conditions1 however1 favour in every respect the circulatory motion of the highly energised upper air masses towards regions of low velocity4 ,all circumstances combine1 in fact1 to confine the more powerfully energised and highly mobile air masses to high altitudes4 ,in the lower atmosphere1 owing to the continuous action of the aqueous vapour on the air masses moving from regions of low to those of high velocity1 the circulation tends largely to be a vertical one1 so that this locality is on the whole preserved in comparative tranquillity4 ,it may happen1 however1 that owing to changes in the distribution of aqueous vapour1 or other causes1 this natural stability of the atmosphere may be disturbed over certain regions of the earth's surface4 ,the circumstances will then favour a direct or more or less vertical return of the energy of the air masses in the neighbourhood of these regions4 ,this return will then take the form of violent storms of wind1 usually of a cyclonic nature1 and affording direct evidence of the tendency of the air masses to pursue vortical paths in their movement towards lower levels4 ,under normal conditions1 however1 the operation of the atmospheric machine is smooth and continuous4 ,the earth's axial energy1 under the sun's incepting influence1 steadily flows at all parts of the earth's surface through the aqueous vapour into the atmospheric masses1 and the latter1 rising from the terrestrial surface1 with a motion somewhat like that of a column of smoke1 spread out and speed towards regions of lower velocity1 and travelling by devious and lengthened paths towards the surface1 steadily return the abstracted energy in its original form4 ,every operation is exactly balanced2 energy expenditure and energy return are complementary2 the terrestrial atmospheric machine as a whole works without jar or discontinuity1 and the earth's motion of rotation is maintained with absolute uniformity4 ,like every other energy machine1 the atmospheric machine has clearly-defined energy limits4 ,the total quantity of energy in operation is strictly limited by the mass of the acting materials4 ,it is well1 also1 to note the purely mechanical nature of the machine4 ,every operation is in reality the operation of mechanical energy1 and involves the movement of matter in some way or other relative to the earth's surface and under the incepting action of the earth's gravitation 7,secs4 #af1 #bj74 ,the moving gaseous masses have as real an existence as masses of lead or other solid material1 and require as real an expenditure of energy to move them relative to the terrestrial surface 7,sec4 #ah74 ,this aspect of the planetary machine will be more fully treated later4 ,throughout this description we have constantly assumed the atmospheric mixture of oxygen and nitrogen to act as one gas1 and at ordinary temperatures the respective energy properties of the two substances 7,sec4 #ce7 make this assumption justifiable4 ,both gases are then working far above their respective evaporation temperatures4 ,but1 in the higher regions of the atmosphere1 where very low temperatures prevail1 a point or altitude will be reached where the temperature corresponds to the evaporation or condensation temperature of one of the gases4 ,since oxygen appears to have the highest temperature of evaporation 7see ,table of ,properties1 p4 #acc71 it would naturally be the first to condense in the ascent4 ,but immediately condensation takes place1 the material will become susceptible to the incepting influence of the sun1 and working as it does at its temperature of evaporation it will convey its energy to the surrounding nitrogen in precisely the same fashion as the aqueous vapour conveys the energy to the aerial mixture in the lower atmosphere4 ,the whole action is made possible simply by the difference existing in the respective evaporation temperatures of the two gases4 ,it will give rise to another cyclical atmospheric energy process exactly as already described for lower altitudes4 ,axial energy of rotation will be communicated to the nitrogen by the working material1 which is now the oxygen1 and by the movement of the nitrogen masses towards regions of low velocity1 this transmitted energy will be finally returned to its original axial form4 ,it has been already explained 7,secs4 #aj1 #cb7 how all terrestrial energy processes1 also1 great or small1 are sooner or later linked to the general atmospheric machine4 ,the latter1 therefore1 presents in every phase of its working completely closed energy circuits4 ,in no aspect of its operation can we find any evidence of1 or indeed any necessity for1 an energy transmission either to or from any external body or agent such as the sun4 ,every phenomenon of ,nature is1 in fact1 a direct denial of such transmission4 ,the student of terrestrial phenomena will readily find continuous and ample evidence in ,nature of the working of the atmospheric machine4 ,in the rising vapour and the falling rain he will recognise the visible signs of the operation of that great secondary process of transmission by which the inherent axial energy of the earth is communicated to the air masses4 ,the movements of bodies1 animate and inanimate1 on the earth's surface1 the phenomena of growth and decay1 and in fact almost every experience of everyday life1 will reveal to him the persistent tendency of the energy of secondary processes to revert to the atmospheric machine4 ,and in the winds that traverse the face of the globe he will also witness the mechanism of that energy return which completes the atmospheric cyclical process4 ,it may be pointed out here also that the terrestrial cyclical energy processes are not necessarily all embodied in the atmosphere4 ,the author has reason to believe1 and phenomenal evidence is not awanting to show1 that the circulatory motions of the atmosphere are in some degree reproduced in the sea4 ,the reader will readily perceive that as regards stability the water composing the sea is in precisely the same condition as the atmosphere1 namely1 that of a liquid heated in its upper strata1 and any circulatory motion of the water must therefore be accompanied by corresponding transformations of energy4 ,that such a circulatory motion takes place is undoubted1 and in the moving mass of sea-water we have therefore a perfectly reversible energy machine of the same general nature as the atmospheric machine1 but working at a very much slower rate4 ,it is not beyond the limits of legitimate scientific deduction to trace also the working of a similar machine in the solid material of the earth4 ,the latter is1 after all1 but an agglomeration of loose material bound by the force of gravitation into coherent form4 ,by the action of various erosive agencies a movement of solid material is continually taking place over the earth's surface4 ,the material thus transported1 it may be1 from mountain chains1 and deposited on the sea-bed1 causes a disturbance of that gravitational equilibrium which defines the exact form of the earth4 ,the forces tending to maintain this equilibrium are so enormous compared with the cohesive forces of the material forming the earth that readjustment continuously takes place1 as evidenced by the tremors observed in the earth's crust4 ,where the structure of the latter is of such a nature as to offer great resistance to the gravitational forces1 the readjustment may take the form of an earthquake4 ,geological evidence1 as a whole1 strongly points to a continuous kneading and flow of terrestrial material4 ,the structure of igneous rocks1 also1 is exactly that which would be produced from alluvial deposits subjected during these cyclical movements to the enormous pressure and consequent heating caused by superimposed material4 ,the occurrence of coal in polar regions1 and of glacial residue in the tropics1 may be regarded as further corroborative evidence4 ,from this point of view also1 it becomes unnecessary to postulate a genesis for the earth1 as every known geological formation is shown to be capable of production under present conditions in ,nature1 and in fact to be in actual process of production at all times4 #db4 ,experimental ,analogy and ,demonstration of the ,general ,mechanism of ,energy ,transformation and ,return in the ,atmospheric ,cycle ,in the preceding articles1 the atmospheric machine has been regarded more or less from the purely physical point of view4 ,the purpose of this demonstration is now to place before the reader what might be termed the mechanical aspects of the machine2 to give an outline1 using simple experimental analogies1 of its nature and operation when considered purely and simply as a mechanism for the transformation and return of mechanical energy4 ,familiar apparatus is used in illustration4 ,in all cases1 it is merely some adaptation of the simple pendulum 7,sec4 #ba74 ,its minute structural details are really of slight importance in the discussion1 and have accordingly been ignored1 but the apparatus generally1 and the energy operations embodied therein1 are so familiar to physicists and engineers that the experimental results illustrated can be readily verified by everyday experience4 ,it is of great importance1 also1 in considering these results1 to bear in mind the principles already enunciated 7,secs4 #ac1 #bj7 with reference to the operation of mechanical energy on the various forms of matter4 ,the general working conditions of energy systems with respect to energy limits1 stability1 and reversibility 7,sec4 #bc7 should also be kept in view4 ,as an introductory step we shall review first a simple system of rotating pendulums4 ,two simple pendulums ,,cm and ,,dm#a 7,fig4 #i7 are mounted by means of a circular collar ,,cd upon a vertical spindle ,,ab1 which is supported at ,a and ,b and free to rotate4 ,when the central spindle ,,ab is at rest the pendulums hang vertically2 when energy is applied to the system1 and ,,ab is thereby caused to rotate1 the spherical masses ,m and ,m#a will rise by circular paths about ,c and ,d4 ,this upward movement1 considered apart from the centrifugal influence producing it1 corresponds in itself to the upward movement of the simple pendulum 7,sec4 #ba7 against gravity4 ,it is representative of a definite transformation1 namely1 the transformation of the work energy originally applied to the system and manifested in its rotary motion1 into energy of position4 ,the movements of the rotating pendulums will also be accompanied by other energy operations associated with bearing friction and windage 7,secs4 #bc1 #bi71 but these operations being part of a separate and complete cyclical energy process 7,sec4 #cb71 they will in this case be neglected4 ,illustration3 ,,fig4 #i ,it will be readily seen1 however1 that the working of this rotating pendulum machine1 when considered as a whole1 is of a nature somewhat different from that of the simple pendulum machine in that the energy of position of the former 7as measured by the vertical displacement of ,m and ,m#a in rotation7 and its energy of rotation must increase concurrently1 and also in that the absolute maximum value of this energy of position will be attained when the pendulum masses reach merely the horizontal level ,,hl in rotation4 ,the machines are alike1 however1 in this respect1 that the transformation of energy of motion into energy of position is in each case a completely reversible process4 ,in the working of the rotating pendulums the limiting amount of energy which can operate in this reversible process is dependent on and rigidly defined by the maximum length of the pendulum arms2 the longer the arms1 the greater is the possible height through which the masses at their extremities must rise to attain the horizontal position in rotation4 ,it will be clear also that it is not possible for the whole energy of the rotating system to work in the reversible process as in the case of the simple pendulum4 ,as the pendulum masses rise1 the ratio of the limiting energy for reversibility to the total energy of the system becomes in fact smaller and smaller1 until at the horizontal or position of maximum energy it reaches a minimum value4 ,this is merely an aspect of the experimental fact that1 as the pendulum masses approach the ultimate horizontal position1 a much greater increment of energy to the system is necessary for their elevation through a given vertical distance than at the lower levels4 ,a larger proportion of the applied energy is1 in fact1 stored in the material of the system in the form of energy of strain or distortion4 ,the two points which this system is designed to illustrate1 and which it is desirable to emphasise1 are thus as follows4 ,firstly1 as the whole system rotates1 the movement of the pendulum masses ,m and ,m#a from the lower to the higher levels1 or from the regions of low to those of higher velocity1 is productive of a transformation of the rotatory energy of the system into energy of position--a transformation of the same nature as in the case of the simple pendulum system4 ,neglecting the minor transformations 7,secs4 #bd1 #bi71 this energy process is a reversible one1 and consequently1 the return of the masses from the higher to the lower positions will be accompanied by the complete return of the transformed energy in its original form of energy of rotation4 ,secondly1 the maximum amount of energy which can work in this reversible process is always less than the total energy of the system4 ,the latter1 therefore1 conforms to the general condition of stability 7,sec4 #be74 ,but this arrangement of rotating pendulums may be extended so as to include other features4 ,to eliminate or in a manner replace the influence of gravitation1 and to preserve the energy of position of the system--relative to the earth's surface--at a constant value1 the pendulum arms may be assumed to be duplicated or extended to the points ,k and ,r 7,fig4 #aj7 respectively1 where pendulum masses equal to ,m and ,m#a are attached4 ,the arms ,,mk and ,m#a,r are thus continuous4 ,each arm is assumed to be pivoted at its middle point about a horizontal axis through ,n1 and as the lower masses ,m and ,m#a rise in the course of the rotatory movement about ,,ab the upper masses ,k and ,r will fall by corresponding amounts4 ,the total energy of position of the system--referred to the earth's surface--thus remains constant whatever may be the position of the masses in the system4 ,the restraining influence on the movement of the masses1 formerly exercised by gravitation1 is now furnished by means of a central spring ,f4 ,a collar ,,cd1 connected as shown to the pendulum arms1 slides on the spindle ,,ab and compresses this spring as the masses move towards the horizontal level ,,hl4 ,as the masses return towards ,a and ,b the spring is released4 ,illustration3 ,,fig4 #aj ,if energy be applied to the system1 so that it is caused to rotate about the central axis ,,ab1 the pendulum masses will tend to move outwards from that axis4 ,their movement may be said to be carried out over the surface of an imaginary sphere with centre on ,,ab at ,n4 ,the motion of the masses1 as the velocity of rotation increases1 is from the region of lower peripheral velocity1 in the vicinity of the axis ,,ab1 to the regions of higher velocity1 in the neighbourhood of ,h and ,l4 ,this outward movement from the central axis towards ,h and ,l is representative of a transformation of energy of an exactly similar nature to that described above in the simple case4 ,part of the original energy of rotation of the system is now stored in the pendulum masses in virtue of their new position of displacement4 ,but in this case1 the movement is made1 not against gravity1 but against the central spring ,f4 ,the energy1 then1 which in the former case might be said to be stored against gravitation 7acting as an invisible spring7 is in this case stored in the form of energy of strain or cohesion 7,sec4 #ae7 in the central spring1 which thus as it were takes the place of gravitation in the system4 ,as in the previous case also1 the operation is a reversible energy process4 ,if the pendulum masses move in the opposite direction from the regions of higher velocity to those of lower velocity1 the energy stored in the spring will be returned to the system in its original form of energy of motion4 ,a vibratory motion of the pendulums to and from the central axis would thus be productive of an alternate storage and return of energy4 ,it is obvious also1 that due to the action of centrifugal force1 the pendulum masses would tend to move radially outwards on the arms as they move towards the regions of highest velocity4 ,let this radial movement be carried out against the action of four radial springs ,s#a1 ,s#b1 ,s#c1 ,s#d1 as shown 7,fig4 #aa74 ,in virtue of the radial movement of the masses1 these springs will be compressed and energy stored in them in the form of energy of strain or cohesion 7,sec4 #ae74 ,the radial movement implies also that the masses will be elevated from the surface of the imaginary sphere over which they are assumed to move4 ,the elevation from this surface will be greatest in the regions of high velocity in the neighbourhood of ,h and ,l1 and least at ,a and ,b4 ,as the masses move1 therefore1 from ,h and ,l towards the axis ,,ab1 they will also move inwards on the pendulum arms1 relieving the springs1 so that the energy stored in them is free to be returned to the system in its original form of energy of rotation4 ,every movement of the masses from the central axis outwards against the springs is thus made at the expense of the original energy of motion1 and every movement inwards provokes a corresponding return of that energy to the system4 ,every movement also against the springs forms part of a reversible operation4 ,the sum total of the energy which works in these reversible operations is always less than the complete energy of the rotatory system1 and the latter is always stable 7,sec4 #be71 with respect to its energy properties4 ,let it now be assumed that the complete system as described is possessed of a precise and limited amount of energy of rotation1 and that with the pendulum masses in an intermediate position as shown 7,fig4 #aa7 it is rotating with uniform angular velocity4 ,the condition of the rotatory system might now be described as that of equilibrium4 ,a definite amount of its original rotatory energy is now stored in the central spring and also in the radial springs4 ,if now1 without alteration in the intrinsic rotatory energy of the system1 the pendulum masses were to execute a vibratory or pendulum motion about the position of equilibrium so that they move alternately to and from the central axis1 then as they move inwards towards that axis the energy stored in the springs would be returned to the system in the original form of energy of rotation4 ,this inward motion would1 accordingly1 produce acceleration4 ,but1 in the outward movement from the position of equilibrium1 retardation would ensue on account of energy of motion being withdrawn from the system and stored in the springs4 ,illustration3 ,,fig4 #aa ,under the given conditions1 then1 any vibratory motion of the pendulum masses to and from the central axis would be accompanied by alternate retardation and acceleration of the moving system4 ,the storage of energy in the springs 7central and radial7 produces retardation1 the restoration of this energy gives rise to a corresponding acceleration4 ,the angular velocity of the system would rise and fall accordingly4 ,these are the natural conditions of working of the system4 ,as already pointed out1 the motion of the pendulum masses may be regarded as executed over the surface of an imaginary sphere4 ,their motion against the radial springs would therefore correspond to a displacement outwards or upwards from the spherical surface4 ,a definite part of the effect of retardation is1 of course1 due to this outward or radial displacement of the masses4 ,assuming still the property of constancy of energy of rotation1 let it now be supposed that in such a vibratory movement of the pendulum masses as described above1 the energy required merely for the displacement of the masses against the radial springs is not withdrawn from and obtained at the expense of the original rotatory energy of the system1 but is obtained from some energy agency1 completely external to the system1 and to which energy cannot be returned4 ,the retardation1 normally due to the outward displacement of the masses against the radial springs1 would not then take place4 ,but the energy is1 nevertheless1 stored in the springs4 ,it now1 therefore1 forms part of the energy of the system1 and consequently1 on the returning or inward movement of vibration of the masses towards the central axis1 this energy1 received from the external source1 would pass directly from the springs to the rotational energy of the system4 ,it is clear1 then1 that while the introduction of energy in this fashion from an external source has in part eliminated the effect of retardation1 the accelerating effect must still operate as before4 ,each vibratory movement of the pendulum system1 under the given conditions1 will lead to a definite increase in its energy of rotation by the amount stored in the radial springs4 ,if the vibratory movement is continuous1 the rotatory velocity of the system will steadily increase in value4 ,energy once stored in the radial springs can only be released by the return movement of the masses and in the form of energy of rotation2 the nature of the mechanical machine is1 in fact1 such that if any incremental energy is applied to the displacement of the masses against the radial springs1 it can only be returned in this form of energy of motion4 ,these features of this experimental system are of vital importance to the author's scheme4 ,they may be illustrated more completely1 however1 and in a form more suitable for their most general application1 by the hypothetical system now to be described4 ,this system is1 of course1 devised for purely illustrative purposes1 but the general principles of working of pendulum systems and of energy return1 as demonstrated above1 will be assumed4 #dc4 ,application of ,pendulum ,principles ,the movements of the pendulum masses described in the previous article have been regarded as carried out over the surface of an imaginary sphere4 ,let us now proceed to consider the phenomena of a similar movement of material over the surface of an actual spherical mass4 ,the precise dimensions of the sphere are of little moment in the discussion1 but for the purpose of illustration1 its mass and general outline may be assumed to correspond to that of the earth or other planetary body4 ,this spherical mass ,a 7,fig4 #ab7 rotates with uniform angular velocity about an axis ,,ns through its centre4 ,associated with the rotating sphere are four auxiliary spherical masses1 ,m#a1 ,m#b1 ,m#c1 ,m#d1 also of solid material1 which are assumed to be placed symmetrically round its circumference as shown4 ,these masses form an inherent part of the spherical system2 they are assumed to be united to the main body of material by the attractive force of gravitation in precisely the same fashion as the atmosphere or other surface material of a planet is united to its inner core 7,sec4 #cd72 they will therefore partake completely of the rotatory motion of the sphere about its axis ,,ns1 moving in paths similar to those of the rotating pendulum masses already described 7,sec4 #db74 ,the restraining action of the pendulum arms is1 however1 replaced in this celestial case by the action of gravitation1 which is the central force or influence of the system4 ,opposite masses are thus only united through the attractive influence of the material of the sphere4 ,the place of the springs1 both central and radial1 in our pendulum system is now taken by this centripetal force of gravitative attraction1 which therefore forms the restraining influence or determining factor in all the associated energy processes4 ,while the auxiliary masses ,m#a ,m#b1 c41 partake of the general motion of revolution of the main spherical mass about ,,ns1 they may also be assumed to revolve simultaneously about the axis ,,we1 perpendicular to ,,ns1 and also passing through the centre of the sphere4 ,each of these masses will thus have a peculiar motion1 a definite velocity over the surface of the sphere from pole to pole--about the axis ,,we--combined with a velocity of rotation about the central axis ,,ns4 ,the value of the latter velocity is1 at any instant1 directly proportional to the radius of the circle of latitude of the point on the surface of the sphere where the mass happens to be situated at that instant in its rotatory motion from pole to pole2 this velocity accordingly diminishes as the mass withdraws from the equator1 and becomes zero when it actually reaches the poles of rotation at ,n and ,s2 and the energy of each mass in motion1 since its linear velocity is thus constantly varying1 will be itself a continuously varying quantity1 increasing or diminishing accordingly as the mass is moving to or from the equatorial regions1 attaining its maximum value at the equator and its minimum value at the poles4 ,now1 since the masses thus moving are assumed to be a material and inherent portion of the spherical system1 the source of the energy which is thus alternately supplied to and returned by them is the original energy of motion of the system2 this original energy being assumed strictly limited in amount1 the increase of the energy of each mass as it moves towards the equator will1 therefore1 be productive of a retardative effect on the revolution of the system as a whole4 ,but1 in a precisely similar manner1 the energy thus gained by the mass would be fully returned on its movement towards the pole1 and an accelerative effect would be produced corresponding to the original retardation4 ,in the arrangement shown 7,fig4 #ab71 the moving masses are assumed to be situated at the extremities of diameters at right angles4 ,with this symmetrical distribution1 the transformation and return of energy would take place concurrently4 ,retardation is continually balanced by acceleration1 and the motion of the sphere would1 therefore1 be approximately uniform about the central axis of rotation4 ,it will be clear that the movements thus described of the masses will be very similar in nature to those of the pendulum masses in the experimental system previously discussed4 ,the fact that the motion of the auxiliary masses over the surface of the sphere is assumed to be completely circular and not vibratory1 as in the pendulum case1 has no bearing on the general energy phenomena4 ,these are readily seen to be identical in nature with those of the simpler system4 ,in each case every movement of the masses implies either an expenditure of energy or a return1 accordingly as the direction of that movement is to or from the regions of high velocity4 ,illustration3 ,,fig4 #ab ,the paths of the moving auxiliary masses have been considered1 so far1 only as parallel to the surface of the sphere1 but the general energy conditions are in no way altered if they are assumed to have in addition some motion normal to that surface2 if1 for example1 they are repelled from the surface as they approach the equatorial regions1 and return towards it once more as they approach the poles4 ,such a movement of the masses normal to the spherical surface really corresponds to the movement against the radial springs in the pendulum system2 it would now be made against the attractive or restraining influence of gravitation1 and a definite expenditure of energy would thus necessarily be required to produce the displacement4 ,energy1 formerly stored in the springs1 corresponds now to energy stored as energy of position 7,sec4 #bj7 against gravitation4 ,if this energy is obtained at the expense of the inherent rotatory energy of the sphere1 then its conversion in this fashion into energy of position will again be productive of a definite retardative effect on the revolution of the system4 ,it is clear1 however1 that if each mass descends to the surface level once more in moving towards the poles1 then in this operation its energy of position1 originally obtained at the expense of the rotatory energy of the sphere1 will be gradually but completely returned to that source4 ,in a balanced system1 such as we have assumed above1 the descent of one mass in rotation would be accompanied by the elevation of another at a different point2 the abstraction and return of the energy of rotation would then be equivalent1 and would not affect the primary condition of uniformity of rotation of the system4 ,in the circumstances assumed1 the whole energy process which takes place in the movement of the masses from poles to equator and normal to the spherical surface would obviously be of a cyclical nature and completely reversible4 ,it would be the working of mechanical energy in a definite material machine1 and in accordance with the principles already outlined 7,sec4 #bj7 the maximum amount of energy which can operate in this machine is strictly limited by the mass of the material involved in the movement4 ,the energy machine has thus a definite capacity1 and as the maximum energy operating in the reversible cycle is assumed to be within this limit1 the machine would be completely stable in nature 7,sec4 #be74 ,the movements of the auxiliary masses have hitherto also been considered as taking place over somewhat restricted paths1 but this convention is one which can readily be dispensed with4 ,the general direction of motion of the masses must of course be from equator to pole or vice versa2 but it is quite obvious that the exact paths pursued by the masses in this general motion is of no moment in the consideration of energy return1 nor yet the precise region in which they may happen to be restored once more to the surface level4 ,whatever may be its position at any instant1 each mass is possessed of a definite amount of energy corresponding to that position2 this amount will always be equal to the total energy abstracted by that mass1 less the energy returned4 ,the nature of the energy system is1 however1 such that the various energy phases of the different masses will be completely co-ordinated4 ,since the essential feature of the system is its property of uniformity of rotation1 any return of energy in the rotational form at any part of the system--due to the descent of material--produces a definite accelerating effect on the system1 which effect is1 however1 at once neutralised or absorbed by a corresponding retardative effect due to that energy which must be extracted from the system in equivalent amount and devoted to the upraising of material at a different point4 ,for simplicity in illustration only four masses have been considered in motion over the surface of the sphere1 but it will be clear that the number which may so operate is really limited only by the dimensions of the system4 ,the spherical surface might be completely covered with moving material1 not necessarily of spherical form1 not necessarily even material in the solid form 7,sec4 #ac71 which would rise and fall relative to the surface and flow to and from the poles exactly in the fashion already illustrated by the moving masses4 ,the capacity of the reversible energy machine--which depends on the mass--would be altered in this case1 but not the general nature of the machine itself4 ,if the system were energised to the requisite degree1 every energy operation could be carried out as before4 ,as already pointed out1 the dominating feature of a spherical system such as we have just described would be essentially its property of energy conservation manifested by its uniformity of rotation4 ,all its operations could be carried out independently of the direct action of any external energy influences4 ,for if it be assumed that the energy gained by the auxiliary moving surface material in virtue of its displacement normal to the spherical surface be derived1 not from the inherent rotational energy of the sphere itself1 but by an influx of energy from some source completely external to the system1 then since there has been no energy abstraction there will be no retardative effect on the revolution due to the upraising of this material4 ,but the influx of energy thus stored in the material must of necessity work through the energy machine4 ,in the movement towards the poles this energy would therefore be applied to the system in the form of energy of rotation1 and would produce a definite accelerative effect4 ,if the influx of energy were continuous1 and no means were existent for a corresponding efflux1 the rotatory velocity of the system would steadily increase4 ,the phenomena would be of precisely the same nature as those already alluded to in the case of the system of rotating pendulums 7,sec4 #db74 ,acceleration would take place without corresponding retardation4 ,a direct contribution would be continuously made to the rotatory energy of the system1 and would under the given conditions be manifested by an increase in its velocity of revolution4 #dd4 ,extension of ,pendulum ,principles to ,terrestrial ,phenomena ,the energy phenomena illustrated by the experimental devices above are to be observed1 in their aspects of greatest perfection1 in the natural world4 ,in the earth1 united to its encircling atmosphere by the invisible bond of gravitation1 we find the prototype of the hypothetical system just described4 ,its uniformity of rotation is an established fact of centuries1 and over its spheroidal surface we have1 corresponding to the motion of our illustrative spherical masses1 the movement of enormous quantities of atmospheric air in the general directions from equatorial to polar regions and vice versa4 ,this circulatory movement1 and the internal energy reactions which it involves1 have been already fully dealt with 7,sec4 #hh72 we have now to consider it in a somewhat more comprehensive fashion1 in the light of the pendulum systems described above4 ,as already explained 7,sec4 #ac71 the operation of mechanical energy is not confined to solid and liquid masses only1 but may likewise be manifested by the movements of gaseous masses4 ,the terrestrial atmospheric machine provides an outstanding example4 ,in its working conditions1 and in the general nature of the energy operations involved1 the terrestrial atmospheric machine is very clearly represented by the rotating pendulum system 7,sec4 #db74 ,the analogy is still closer in the case of the hypothetical system just described4 ,the actual terrestrial energy machine differs from both only in that the energy processes1 which they illustrate by the movements of solid material1 are carried out in the course of its working by the motion of gaseous masses4 ,it is obvious1 however1 that this in no way affects the inherent nature of the energy processes themselves4 ,they are carried out quite as completely and efficiently--in fact1 more completely and more efficiently--by the motions of gaseous as by the motions of solid material4 ,the atmospheric circulation1 then1 may be readily regarded as the movement1 over the terrestrial surface1 of gaseous masses which absorb and return energy in regions of high and low velocity exactly in the fashion explained above for solid material4 ,in their movement from polar towards equatorial regions these masses1 by the action of the aqueous vapour 7,sec4 #ch71 absorb energy 7axial energy7 and expand upwards against gravity4 ,here we have an energy operation identical in nature with that embodied in the movements of a pendulum mass simultaneously over a spherical surface and against radial springs as in the system of rotating pendulums1 or identical with the equatorial and radial movement of the auxiliary masses in the hypothetical system4 ,the return movement of the aerial masses over the terrestrial surface in the opposite direction from equatorial to polar regions provides also exactly the same phenomena of energy return as the return movement of the masses in our illustrative systems4 ,these systems1 in fact1 portray the general operation of mechanical energy precisely as it occurs in the terrestrial atmospheric machine4 ,but obviously they cannot illustrate the natural conditions in their entirety4 ,the passage or flow of the atmospheric air masses over the earth's surface is a movement of an exceedingly complex nature1 impossible to illustrate by experimental apparatus4 ,and indeed1 such illustration is quite unnecessary4 ,as already pointed out 7,sec4 #ch71 no matter what may be the precise path of an aerial mass in its movement towards the planetary surface the final energy return is the same4 ,sooner or later its energy of position is restored in the original axial form4 ,the terrestrial atmospheric machine will be thus readily recognised as essentially a material mechanical machine corresponding in general nature to the illustrative examples described above4 ,the combination of its various energy processes is embodied in a complete cyclical and reversible operation4 ,its energy capacity1 as in the simpler cases1 is strictly limited by the total mass of the operating material4 ,the active or working energy is well within the limit for reversibility 7,sec4 #bc71 and the machine is therefore essentially stable in nature4 ,the continuous abstraction of axial energy by the aqueous vapour is balanced by an equally continuous return from the air masses1 and the system1 so far as its energy properties are concerned1 is absolutely conservative4 ,energy transmission from or to any external source is neither admissible nor necessary for its working4 #de4 ,concluding ,review of ,terrestrial ,conditions--,effects of ,influx of ,energy ,the aspect of the earth as a separate mass in space1 and its energy relationship to its primary the sun and to the associated planetary masses of the solar system have been broadly presented in the ,general ,statement 7,secs4 #a-ab74 ,in that statement1 based entirely on the universally accepted properties of matter and energy1 an order of phenomena is described which is in strict accordance with observed natural conditions1 and which portrays the earth and the other planetary bodies1 so far as their material or energy properties are concerned1 as absolutely isolated masses in space4 ,the scientific verification of this position must of necessity be founded on the terrestrial observation of phenomena4 ,so far as the orbital movements of the planet are concerned these are admittedly orderly2 each planetary mass wheels its flight through space with unvarying regularity2 the energy processes1 also1 associated with the variations of planetary orbital path1 and which attain limiting conditions at perihelion and aphelion1 are readily acknowledged to be reversible and cyclical in nature4 ,in fact1 even a slight observation of the movements of celestial masses inevitably leads to the conviction that the great energy processes of the solar system are inherently cyclical in nature1 that every movement of its material and every manifestation of its energy is part of some complete operation4 ,the whole appears to be but the natural or material embodiment of the great principle of energy conservation4 ,it has been one of the objects of this work to show that the cyclical nature of the energy operations of the solar system is not confined only to the more prominent energy phenomena1 but that it penetrates and is exhibited in the working of even the most insignificant planetary processes4 ,each one of the latter in reality forms part of an unbroken series or chain of energy phenomena4 ,each planet forms in itself a complete1 perfect1 and self-contained energy system4 ,every manifestation of planetary energy1 great or small1 whether associated with animate or inanimate matter1 is but one phase or aspect of that energy as it pursues its cyclical path4 ,it is a somewhat remarkable fact that in this age of scientific reason the observation of the strictly orderly arrangement of phenomena in the solar system as a whole should not have led to some idea in the minds of philosophical workers of a similar order of phenomena in its separate parts1 but the explanation lies generally in the continual attempts to bring natural phenomena into line with certain preconceived hypotheses1 and more particularly to the almost universal acceptance of the doctrine of the direct transmission of energy from the sun to the earth and the final rejection or radiation of this energy into space4 ,there is no denying the eminent plausibility of this doctrine4 ,the evidence of ,nature prima facie may even appear to completely substantiate it4 ,but we would submit that the general circumstances in which this doctrine is now so readily accepted are very similar to those which prevailed in more ancient times1 when the revolution of the sun and stars round the earth was the universal tenet of natural philosophy4 ,this conception1 allied to the belief that the sole function of the celestial bodies was to provide light and heat to the terrestrial mass1 appeared to be in strict accordance with observed phenomena1 and held undisturbed possession of the minds of men for centuries1 until it was finally demolished by ,copernicus as the result of simple and accurate observation of and deduction from natural phenomena4 ,at the present time1 the somewhat venerable belief in the transmission of energy in various forms from the sun to the earth appears at first sight to be supported by actual facts4 ,but a more rigid scrutiny of the evidence and of the mental processes must inevitably lead the unbiassed mind to the conclusion that this belief has no real foundation on truly scientific observation1 but is entirely unsupported by natural phenomena4 ,every operation of ,nature1 in fact1 when considered in its true relationships is an absolute denial of the whole conception4 ,like its predecessor relating to the motion of the sun and stars round the earth1 the doctrine of energy transmission between separate masses in space such as the sun and the earth cannot be sustained in the face of scientific observation4 ,this doctrine is found on investigation to be supported not by phenomena but by the conception of an elastic ethereal medium1 of whose existence there is absolutely no evidential proof1 and the necessity for which disappears along with the hypothesis it supports4 ,it is1 however1 not proposed to discuss in any detail either the supposed transmission of energy from the sun to the planets or the arbitrary properties of the transmitting medium1 but rather to adopt a more positive method of criticism by summarising briefly the evidential phenomena which show the cyclical nature of the whole terrestrial energy process1 and which remove the basis of belief in such a transmission4 ,to recapitulate the more general conditions1 we find the earth1 alike with other planetary masses1 pursuing a defined orbital path1 and rotating with uniform angular velocity in the lines or under the influence of the gravitation1 thermal1 luminous1 and other incepting fields 7,secs4 #ag1 #ah1 #ai7 which originate in the sun4 ,its axial rotation1 in these circumstances1 gives rise to all the secondary transformations 7,sec4 #i7 of terrestrial axial energy1 which in their operation provide the varied panorama of terrestrial phenomena4 ,terrestrial axial energy is thus diverted into terrestrial secondary processes4 ,each of these processes is found to be united to or embodied in a definite material machine 7,secs4 #bg-cj71 and is1 accordingly1 limited in nature and extent by the physical properties and incepting factors associated with the materials of which the machine is composed4 ,by ordinary methods of transmission1 energy may pass from one material to another1 that is to say from one machine to another1 and by this means definite chains of energy processes are constituted1 through which1 therefore1 passes the axial energy originally transformed by the action of the sun4 ,these series or chains of energy processes are also found to be one and all linked at some stage of their progress to the general atmospheric machine 7,sec4 #bi74 ,the energy operating in them is1 in every case1 after many or few vicissitudes according to the nature of the intermediate operations1 communicated to the gaseous atmospheric material4 ,by the movement of this material in the working of the atmospheric machine 7,sec4 #ch7 the energy is finally returned in its original form of axial energy of rotation4 ,the sun's action is thus in a manner to force the inherent rotatory energy of the planet into the cyclical secondary operations1 all of which converge alike towards the general atmospheric mechanism of return4 ,the passage of the energy through the complete secondary operations1 and its re-conversion into its original axial form1 may be rapid or slow according to circumstances4 ,in equatorial regions1 where the influence of the sun's incepting fields is most intense1 we find that the inherent planetary axial energy is communicated with great rapidity through the medium of the aqueous vapour to the air masses4 ,by the movement of the latter it may be just as rapidly returned1 and the whole operation completed in a comparatively short interval of time4 ,in the same equatorial regions1 the transformations of axial energy which are manifested in plant life attain their greatest perfection and vigour4 ,but in this case the complete return of the operating energy may be very slow4 ,the stored energy of tropical vegetation may still in great part remain in the bosom of the earth1 awaiting an appropriate stimulus to be communicated to more active material for the concluding stages of that cyclical process which had its commencement in the absorption of axial energy into plant tissue4 ,the duration of the complete secondary operation has1 however1 absolutely no bearing on the conservative energy properties of the planet4 ,in this respect1 the system is perfectly balanced4 ,every transformation or absorption of rotatory energy1 great or small1 for long or short periods of time1 is counteracted by a corresponding return4 ,absolute uniformity of planetary axial rotation is thus steadily maintained4 ,it is scarcely necessary at this stage to point out that the verification of this description of natural operations lies simply and entirely in the observation of ,nature's working at first hand4 ,the description is based on no theory and obscured by no preconceived ideas1 it is founded entirely on direct experimental evidence4 ,the field of study and of verification is not restricted1 but comprises the whole realm of natural phenomena4 ,in a lifetime of observation the author has failed to discern a single contradictory phenomenon2 every natural operation is in reality a direct confirmation4 ,the conception of energy1 working only through the medium of definite material machines with their incepting and limiting agencies1 is one which is of great value not only in natural philosophy but also in practical life4 ,by its means it is possible in many cases to co-ordinate phenomena1 apparently antagonistic1 but in reality only different phases of energy machines4 ,it aids materially also in the obtaining of a true grasp of the inexorable principle of energy conservation and its application to natural conditions1 and it emphasises the indefensible nature of such ideas as the radiation of energy into space4 ,it will be evident that in a planetary system such as described above there is no room for any transmission of energy to the system from an external source4 ,the nature of the system is1 in fact1 such that a transmission of this kind is entirely unnecessary4 ,as already demonstrated1 every phenomenon and every energy operation can be carried out independently of any such transmission4 ,for the purpose of illustration1 however1 it may be assumed that such a communication of energy does take place2 that according to the accepted doctrines of modern science the sun pours energy in a continuous stream into the terrestrial system4 ,now1 no matter in what form this energy is communicated1 it is clear that once it is associated with or attached to the various planetary materials it is1 as it were1 incorporated or embodied in the planetary energy machines1 and must of necessity work through the secondary energy operations4 ,but these operations have been shown to be naturally and irresistibly connected to the general atmospheric machine4 ,into this machine1 then1 the incremental energy must be carried1 and it will be there directly converted into the form of axial energy of rotation4 ,once the incremental energy is actually in the planet1 once it is actually communicated to planetary material1 the nature of the system absolutely forbids its escape4 ,the effect of a direct and continuous influx such as we have assumed would inevitably be an increase in the angular velocity of the system4 ,this effect has already been verified from an experimental point of view by consideration of the phenomena of a rotating pendulum system 7,secs4 #db1 #dc74 ,whilst the influx of energy proceeds1 then in virtue of the increasing velocity of the planetary material in the lines of the various incepting fields of the sun1 all terrestrial phenomena involving the transformation of rotary or axial energy would be increased in magnitude and intensified in degree4 ,the planet would thus rapidly attain an unstable condition2 its material would soon become energised beyond its normal capacity1 and the natural stability 7,sec4 #be7 of its constituent energy machines would be destroyed2 the system as a whole would steadily proceed towards disruption4 ,but1 happily1 ,nature presents no evidence of such a course of events4 ,the earth spins on its axis with quiet and persistent regularity2 the unvarying uniformity of its motion of axial rotation has been verified by the observations of generations of philosophers4 ,its temperature gradations show no evidence of change or decay in its essential heat qualities1 and the recurrence of natural phenomena is maintained without visible sign of increase either in their intensity or multiplicity4 ,the finger of ,nature ever points to closed energy circuits1 to the earth as a complete and conservative system in which energy1 mutable to the highest degree with respect to its plurality of form1 attains to the perfection of permanence in its essential character and amount4 ,printed by ,,ballantyne1 ,,hanson ,,co4 ,edinburgh ,london ,,transcriber',s ,,note3 ,in this plain-text version1 numerical subscripts have been transcribed within brackets1 such as3 ,m#a4 ,obvious typographical errors from the original printed version of this book have been corrected without comment4 ,footnotes in the plain-text version have been placed at the end of the paragraph in which the footnote tag appears4 ,illustrations have been moved to the nearest paragraph break4