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FORBES.

forced to abandon his house, and take refuge in the island of Skye, where he remained till after the battle of Culloden. On his return, in place of reaping the fruits of his services, he was regarded with jealousy and aversion by the government. Even the large sums of money which he had advanced were never repaid him; and it is said that the ingratitude of the government, coupled with the perfidy of many of his friends and neighbours, who had changed sides more than once during this miserable affair, weighed so heavily on his spirits as to shorten his life. He discharged his judicial duties, however, with great zeal and ability till within a month of his death, which took place on December 10, 1747. There is a beautiful portrait of the Lord President F., who was a man of great elegance of person and manner, in the Parliament House in Edinburgh. The most recent and complete biography of Forbes is that of Mr Burton in his Lives of Simon Lord Lovat and Duncan Forbes, 1848.

not one shilling of which was ever repaid him. But on this, as on all other occasions, Duncan's partisanship was of the most moderate kind. After the suppression of the rebellion, he was opposed to the project of carrying the prisoners out of Scotland, to be tried by English juries, and he wrote to Lord Islay, when he heard that it was proposed to appoint him lord advocate, that he should certainly decline that office. He wrote to his brother, proposing a subscription for the comfort of the prisoners. It is certainly Christian,' he said, and by no means disloyal, to sustain them in their indigent state till they are found guilty.' To the forfeitures also he was opposed, on grounds of policy as well as of humanity. The only effect of his moderation was to bring suspicion on his own loyalty. But he was too important for his promotion to be arrested. In 1716, he was appointed depute to the lord advocate; in 1722, he was returned to sit in parliament for the Inverness district of burghs; and in 1725, he was lord advocate. He was not distinguished as a debater, but he was largely employed at this FORBES, EDWARD, an eminent naturalist, was period of his career in appeal cases, and he enjoyed born at Douglas, Isle of Man, February 12, 1815, the friendship of Sir Robert Walpole, Lyttleton, and died in Edinburgh, November 18, 1854. He Mansfield, and Hardwick. He seems even to have received a desultory and imperfect education in penetrated the literary circles in which Swift, Pope, early life, in consequence of ill health; but when and Arbuthnot were the ruling stars. In 1734, his he left home at the age of 16, he had already brother John-Bumper John, as he was called-possessed himself of a very considerable amount of died, and he succeeded to the estates of the family, knowledge in the departments of botany, zoology, In earlier life, Duncan partook of the convivial and geology. In 1831, F. went to London, with habits for which his family was distinguished, in an the intention of becoming a student at the Royal age that was famous for deep potations. Mr Burton Academy; but although he evinced much readiness records various anecdotes illustrative of his powers in drawing, his artistic talents were not sufficiently in this direction, but he abandoned the practice marked to hold out any prospect of success in the when his health began to suffer, and devoted him- event of his making art his profession; and he thereself to more serious if not more onerous duties. fore determined to turn his attention to medicine, During many subsequent years, he in no insig- and, with this view, entered the university of Edin nificant degree ruled the destinies, and contri-burgh. In 1836, he finally relinquished his special buted to the dawning prosperity of Scotland by medical studies, to devote himself exclusively to fostering and developing her internal resources. the natural sciences. In 1836-1837, he attended His policy was to extinguish the rebellion by gaining lectures at Paris, where he studied under Geoffroy over the Jacobites to the government. The purity St Hilaire, Jussieu, and De Blainville, while he at and uprightness of F.'s character were subjected to a the same time availed himself with diligence of all severe test. His whole correspondence during these the advantages afforded to students by the museums troubled times came to light some seventy years and libraries of Paris. From the first year of his after his death; and though few men ever wrote or college life, F. had spent his summer vacations were written to with less idea of publication, we in rambles over various parts of Great Britain, or have not,' says Mr Chambers (Biographical Dic- in excursions on the continent, and the results of tionary of Eminent Scotsmen), to detect a single the observations which he made during these tours, one of his advices or proceedings, by the exposure which were published by him either in the form of of which even a private gentleman of the most separate works, or in the pages of current scientific delicate honour, and the most reasonable views, journals, sufficiently attest his diligence as an would have cause to feel a moment's uneasiness.' observer, and his exact appreciation of analogies Having freed himself from the shackles of party, and differences of forms. F. may almost be regarded his great object was to improve the trade and as the originator of the use of the dredge, which he agriculture of the kingdom. But his views of employed with equal success in investigating the political economy were not greatly in advance of marine fauna of our own seas, and of the Mediterhis time; for in order to encourage the use of malt, ranean and the Ægean. In 1841, he joined the surhe presented to the government a long and detailed veying ship Beacon, as naturalist, and accompanied scheme for preventing, or rather for punishing the that vessel during the survey of a part of Asia Minor, F. was appointed President of the and co-operated in the exploration of many of the Court of Session in 1737; but he still continued his Xanthian cities. On his return to England in 1843, interest in the general improvement of the country. he found that he had, during his absence, been Though he was aware of the character, and, in elected to the chair of botany, King's College, general, of the designs of the Jacobites, the rebel- London. He was soon afterwards named curator lion of 1745 took the President by surprise. But of the Geological Society; and from that period till he was no sooner aware of the danger than he has his removal to Edinburgh, he remained in London, tened to the north, as he had done on the occasion living in a vortex of scientific labours and literary of the former outbreak, and by his presence and the work. In 1844, he was appointed paleontologist influence which he possessed in his own district, to the Museum of Geology in connection with the did much to counteract the proceedings of the Ordnance Geological Survey; and in 1851, on the rebels. Lovat, as is well known, betrayed both opening of the new buildings in Jermyn Street, him and the government, and actually made an London, he was named professor of natural history attack on Culloden House, from which he was in the School of Mines. In 1852, he was chosen beaten off with great spirit by the President and president of the Geological Society, an honour never his people. When the rebellion spread, he was before conferred on so young a man; and in 1853,

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FORBES.

on the death of Professor Jameson, he was elected to the vacant chair of Natural History in the university of Edinburgh. In the summer of 1854, he delivered a short course of lectures-the only one he was destined to give for at the commencement of the winter session he was seized with a severe illness, which speedily proved fatal, and terminated his life in the 39th year of his age, in the very zenith of his fame, and in the full vigour of his intellectual powers. F. had been a voluminous writer and a diligent observer of nature from his earliest youth, and had collected an immense mass of materials, many of which were, however, left at his death in a disorganised condition. He did much to advance and systematise special departments of natural history, both by his own labours and by the stimulus which he imparted to his associates and pupils; and it would be difficult to instance any naturalist who has exercised a greater influence on the thought and line of inquiry pursued by those who have cultivated the same branches of knowledge. His classification of the British Star-fishes opened a new era in that branch of zoology; and his discovery that air-breathing molluscs lived at the period of the Purbeck beds, has been the means of rectifying many erroneous hypotheses, and throwing unexpected light on several hitherto obscure points of geology, while the inferences which he drew from the presence of those animals have been fully corroborated. His Report on the Egean Sea, and his observations of the tertiaries of Cos, which have proved of great value to geology, raised him to the highest rank among living naturalists. From an early period, he had directed his attention to the distribution of animal and vegetable life in different zones of the sea and land, and his observations in this path of inquiry have opened many new fields of research. F. was a diligent contributor to the current scientific literature of the day, and many of his best papers were written for the meetings of the British Association, of which an active member, and for the various societies with which he was connected; while he also took a most efficient share in the labours of the Ordnance Survey during his connection with its staff. His separate works, papers, and monographs, of which upwards of 200 are published, and many of which are copiously illustrated by his own beautiful drawings, cannot be individually specified; but among them we may instance the following: On the Distrib. of Pulmonif. Mollusca in Europe (1838); Malacol. Monensis (1838); Star Fishes (1841); The Radiata and Mollusca of the Egean (1843); Travels in Lycia (written in conjunction with Lieutenant Spratt, 1846); Nakedeyed Medusa (1847); British Mollusca (1853, 4 vols. 8vo, conjointly with S. Hanley); the Map of Homoiozoic Belts (Johnston's Phys. Atlas, 1854); Collection of Literary Papers by E. Forbes (1855); &c. See Memoir by G. Wilson and A. Geikie, 1861. FORBES, SIR WILLIAM, of Pitsligo, Bart., an eminent Scottish banker, son of Sir William Forbes, Bart., advocate, was born in Edinburgh, April 5, 1739. He succeeded his father when only four years old, and received his education at Aberdeen. In his 15th year, he was introduced into the bank at Edinburgh of Messrs John Coutts & Co.; and in 1761, was admitted a partner. In 1763, one of the brothers Coutts having died, while another retired on account of ill health, and two others were settled as bankers in London, a new company was formed, consisting of Sir William Forbes; Mr Hunter, afterwards Sir James Hunter Blair; Mr, afterwards Sir Robert Herries; and Messrs Stephen and Cochrane. They at first carried on business in the name of the old firm. On 1st January 1773,

he was

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however, on some changes in the partnership taking place, the name was changed to that of Sir W. Forbes, J. Hunter, & Co., and of this firm Sir William continued to be the head till his death. In 1781, he purchased the estate of Pitsligo, Aberdeenshire, which had been forfeited by Lord Forbes of Pitsligo for taking part in the rebellion of 1745. Animated by genuine patriotism and public spirit, he introduced the most extensive improvements on it, and laid out and built the village of New Pitsligo. He was a member, with Johnson, Burke, Garrick, Reynolds, and others, of the celebrated Literary Club of London, and the author of a Life of his friend, Dr Beattie, the poet, published, with his works, in 2 vols. 4to, in 1805; also of Memoirs of a Banking House, being the history of his own, edited by Mr Robert Chambers (Edinburgh, 1860). He died at his seat near Edinburgh, November 12, 1806, aged 68. By his wife, Elizabeth, eldest daughter of Sir James Hay of Hayston, Bart., he had three sons and five daughters. Universally esteemed and respected, his character is well described by Sir Walter Scott in the introductory address of one of the cantos of Marmion. His bank became, in 1830, the Union Bank of Scotland.

FORBES, JAMES DAVID, Principal of the United College in the university of St Andrews, a grandson of Sir W. Forbes, the banker, was born at Colinton, near Edinburgh, April 20, 1809. He studied in the university of Edinburgh from 1825 until 1830, when he was admitted to the Scottish bar. On the death of Sir John Leslie (q. v.), he was appointed, in 1833, to the chair of natural philosophy in the university of Edinburgh, after a contest in which, among other competitors, he was opposed by Dr (afterwards Sir David) Brewster and Mr Galloway. In 1842, the Institute of France enrolled him among its corresponding members. He is, besides, a member of numerous other scientific societies at home and abroad, has received the Royal and the Rumford medals from the Royal Society of London, and two Keith medals from the Royal Society of Edinburgh, and is D.C.L. of Oxford. In 1860, F. resigned his chair in Edinburgh, to become Principal of the United College in the university of St Andrews. Among his contributions to science are-the polarisation of radiant heat by the tourmaline, and also by reflection (1836), and its circular polarisationdiscoveries forming some of the strongest proofs of the identity of calorific and luminous rays; the unequal polarisation of heat from different sources (1844); the refrangibility of heat; the depolarisation of heat; &c. This whole series of experimental results is of a very high order of importance. He is, however, best known to the world in general by his researches on the motion of glaciers. See Travels in the Alps (1843); Norway and its Glaciers (1853); Tour of Mont Blanc and Monte Rosa (1855); and Occasional Papers on the Theory of Glaciers (1859). He was undoubtedly the first to establish the great fact, that glacier ice moves in its channel like a viscous fluid, the middle moving faster than the sides, and the upper portions faster than the lower. His theory of glacier phenomena has encountered a good deal of opposition from some quarters, and cannot yet be considered as settled. See GLACIERS. In meteorology, F. has, among other things, improved Wollaston's application of the thermometer to the determination of heights, and has verified with great care Fourier's theoretical results concerning the temperature of the ground at different depths and in different kinds of soil and rock. Besides the works already named, numerous very valuable papers by F. are to be found in the Transactions of the Royal Societies of London and

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FORBES-FORBES MACKENZIE ACT.

Edinburgh, in the Edinburgh Philosophical Journal, 1, to inn or hotel keepers; 2, to public-house keepers; and other periodicals.

FORBES, SIR JOHN, an eminent physician, was born October 18, 1787, at Cuttlebrae, Banffshire, and died November 13, 1861. After studying at Aberdeen and Edinburgh, he entered the navy in 1807 as assistant-surgeon, and continued on active duty till 1816, when he finally left the service. In 1817, he took the degree of M.D. at Edinburgh, and soon afterwards settled as a physician at Penzance, from whence he removed in the course of a few years to Chichester. In 1840, F. went to London, where he speedily obtained a large practice. He was knighted in 1853 by the Queen, to whose household he held the appointment of Physician in Ordinary, while he was at the same time Physician Extraordinary to Prince Albert. He was a Fellow of the College of Physicians, and the Royal Society of London; D.C.L. of Oxford, and a member of numerous foreign societies. F., conjointly with Drs Tweedie and Conolly, was the editor of the Cyclopædia of Practical Medicine, which, in addition to the numerous contributions of the editors, included the labours of more than sixty British physicians, of the first rank. This work, which has exercised a most beneficial influence both on the theory and practice of medicine, was completed in 4 vols. 8vo, in 1835. In 1836, F. founded the British and Foreign Medical Review, which he carried on with great success for twelve years. The services which he thus rendered to his brother-practitioners placed him deservedly among the foremost of his profession. To F. in a great measure belongs the merit of having introduced the use of the stethoscope in England, and of having successfully directed the attention of British practitioners to the art and practice of physical diagnosis. In 1831, he published the first edition of his translation of Laennec's Treatise on Auscultation; and in 1838, when the fifth edition appeared, the new method was already extensively used. F. was a ready and pleasant writer, as is amply shewn by the various records of his summer rambles; among which we may instance his Physician's Holiday (1849), and his Sight-seeing in Germany and the Tyrol (1856). His last professional work, entitled Nature and Art in the Cure of Diseases (1857), contains a systematic exposition of his medical opinions and doctrines.

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FORBES MACKENZIE ACT. The statute, popularly known by the name of the gentleman (Mr Forbes Mackenzie, M.P. for Peeblesshire) who introduced the bill, is the 16 and 17 Vict. c. 67, entitled An Act for the better Regulation of Public Houses in Scotland.' This act retained in general the provisions of 9 Geo. IV. c. 58, by which the granting of certificates by justices of the peace and magistrates, authorising persons to keep common inns, ale-houses, and victuallinghouses in Scotland was regulated. But it prohibited the granting of certificates for excisable liquors to be drunk on the premises,' unless on the express condition that no groceries or other provisions to be consumed elsewhere should be sold in the house or premises with respect to which such certificate is granted. The object of this portion of the enactment being to prevent grocers from becoming in reality the keepers of tippling-houses, those persons continued to be permitted to sell liquors by retail, provided that they were not consumed in their shops. In accordance with the principle of distinguishing between the different classes of houses in which the trade of a spirit-dealer should be carried on, three different grades of licences were introduced: those applicable, viz.,

and 3, to grocers and provision-dealers. As regards the first class, it is enacted that they shall not keep open house, or permit or suffer any drinking in any part of the premises belonging thereto, or sell or give out therefrom any liquors before eight o'clock in the morning, or after eleven o'clock at night of any day, with the exception of refreshthe said house or premises; and further, that they ments to travellers, or persons requiring to lodge in shall not open their houses for the sale of any liquors, or sell or give out the same on Sunday, except for the accommodation of lodgers and bondfide travellers.' The same restrictions are imposed on the second class of persons-viz., the keepers of public-houses, with this addition, that no exception is made in their case in favour of travellers or lodgers; whilst grocers and provision-dealers, in addition to the prohibition to open on Sundays, and that already mentioned with reference to the consumption of spirits on the premises, are forbidden to sell or give out any liquors before six o'clock in the morning, or after eleven o'clock at night.' Separate licences were also introduced for the sale of malt liquors from those applicable to the sale of wine and spirits, all of which had formerly been for the first time in Scotland, the very formidable included under one licence. By this statute, also, Power was conferred on the police of entering at any time any public-house, or house where refreshments are sold to be consumed on the premises, and penalties were awarded against those who refused to admit them, or who obstructed their entrance. These provisions having given rise to much discussion, a Royal Commission to inquire into the working of the the commission was the issue, as usual, of two enoract was issued on the 25th April 1859. The result of mous volumes of printed evidence, and of a report, of the suggestions which it contains. The commismore distinguished for its length than for the value sioners arrived at the conclusion, that although intemperance still prevails to a lamentable extent, it would seem that this vice has been for some time gradually descending in the scale of society, and of the population.' This effect the commissioners that it is now chiefly confined to the lowest class ascribe to several causes, of which the first and most important is the increase of the duty on excisable liquors from 28. 4d. per imperial gallon, at which it stood in 1823, to 88., to which it was finally raised in 1855. Nor do they deny to the Forbes Mackenzie Act its share of merit. The beneficial effect of the act,' they say, 'is proved by the evidence which we received as to the diminution of crime, and the change for the better in the habits of the people, immediately after the passing of the act, when its provisions were strictly enforced, and by the tendency in an opposite direction which in some places has followed its less rigorous enforcement during the last two years. In some towns, there has been, on the part of the magistrates, great remissness in administering the law. The result seems to have been, if not an increase of crime in these places, at least the absence of the improvement witnessed elsewhere.' Whilst thus generally approving of the act, the commissioners suggest a number of alterations, mostly with the view of enabling the police to carry out its provisions with greater efficiency. In reference to the difficulty experienced by hotel-keepers in ascertaining what persons came under the descriptions of bona fide travellers, the commissioners recommend that in future persons inducing hotel-keepers to sell or give out excisable liquors to them on Sunday, by falsely representing themselves as travellers, should be guilty of an offence, and be liable, on conviction, to a fine.' In

FORBIDDEN FRUIT-FORCE; ENERGY.

these circumstances, it becomes important to know that it has been decided in England that to constitute a traveller' within the meaning of the corresponding Act 18 and 19 Vict. c. 118, s. 2, it is a matter of indifference whether the parties be travelling for business or pleasure, and that a walk, ride, or drive, for exercise and amusement of such length as to render refreshments desirable, is a sufficient journey. In Atkinson v. Sellers (5 C. B. N. S. 442), Chief Justice Cockburn remarked, that ‘a man could not be said to be a traveller who goes to a place merely for the purpose of taking refreshment. But if he goes to an inn for refreshment in the course of a journey, whether of business or of pleasure, he is entitled to demand refreshment, and the innkeeper is justified in supplying it.' See also Taylor v. Humphreys, C. P. 705; 4 L. T. N. S. 314. The first was in the case of a drive from Liverpool of 5 miles, the second of a walk from Birmingham of 4 miles.

FORBIDDEN FRUIT, a name fancifully given to the fruit of different species of Citrus. In the shops of Britain, it is a small variety of the Shaddock (q. v.) which generally receives this name. But on the continent of Europe, a different fruit, regarded by some as a variety of the orange, and by some as a distinct species (Citrus Paradisi), is known as the Forbidden Fruit, or Adam's Apple. Like some other fruits of the same genus, it was recently introduced into the south of Europe from China. The tree has broad, tapering, and pointed leaves, the leaf-stalks winged; the fruit is large, somewhat pear-shaped, greenish-yellow, of very uneven surface, having around its base a circle of deeper depressions, not unlike the marks of teeth, to which it probably owes its name. It is chiefly the rind which is the edible part; the rind is very thick, tender, melting, and pleasant; there is very little pulp; the pulp is acid.

The name Forbidden Fruit has also been given to

the fruit of Tabernaemontana dichotoma, a tree of Ceylon, of the natural order Apocynaceae. The shape of the fruit-which is a follicle, containing pulp-suggests the idea of a piece having been bitten off, and the legend runs that it was good before Eve ate of it, although it has been poisonous

ever since.

FORCE; ENERGY. Till we know what Matter (q. v.) is, if there be matter, in the ordinary sense of the word, at all, we cannot hope to have any idea of the absolute nature of force. Any speculations on the subject could only lead us into a train of hypotheses entirely metaphysical, since utterly beyond the present powers of experimental science. If we content ourselves with a definition of force based on experience, such a definition will nothing of its nature, but will contine itself to the effects which are said to be due to force, and in the present state of our knowledge it is almost preposterous to aim at more.

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Our first ideas of force are evidently derived from the exertion required to roll, or lift, bend, or compress, &c., some mass of matter; and it is easy to see that in all such cases where muscular contraction is employed, matter is moved, or tends to move. Force, then, we may say generally, is any cause which produces, or tends to produce, a change in a body's state of rest or motion. See MOTION, LAWS OF The amount or magnitude of a force may be measured in one of two ways: 1. By the pressure it can produce, or the weight it can support; 2. By the amount of motion it can produce in a given time. These are called respectively the Statical and Dynamical measures of force. The latter is, as it stands, somewhat ambiguous. What shall we take as the

quantity of motion produced? Does it depend merely on the velocity produced? or does it take account of the amount of matter to which that velocity is given? Again, is it proportional to the velocity itself, or to its square? This last question was very fiercely discussed between Leibnitz, Huyghens, Euler, Maclaurin, the Bernouillis, &c.; Leibnitz being, as usual with him in physical questions, on the wrong side. Newton, to whom we owe the third law of motion, had long before given the true measure of a force in terms of the motion produced. This law is an experimental result-that when pressure produces motion, the momentum produced (see MOMENTUM) is proportional to the pressure, and can be made (numerically) equal to it by employing proper units. Hence momentum is the true dynamical measure of force, which, therefore, is proportional to the first power only of the velocity produced. What is properly measured in terms of the square of the velocity, we shall presently see. For various properties of articles: COMPOSITION OF FORCES, COUPLES, CENTRE force, statical and dynamical, see the following MECHANICAL POWERS, VIRTUAL VELOCITIES. OF GRAVITY, CENTRAL FORCES, FALLING BODIES,

It is obvious that in order to produce any effect at all, or to do WORK, as it is technically called, a force must produce motion, i.e., must move its point of application. A weight laid on a table produces no effect whatever unless the table yields to the pressure, i.e., unless the weight descends, be it ever so fatigue ourselves, if we try to lift a ton from the little. We do no work, however much we may floor; if it be a hundred weight only, we may lift it it is evident that the latter may be measured as a few feet, and then we shall have done work-and so many pounds raised so many feet-introducing a new unit, the FOOT-POUND, which is of great importance, as we shall shortly see, in modern physics. See WORK. This is evidently, however, a statical measure of work, since no account is taken of velocity. Have we then for work, as we had for force, a dynamical measure? Let us take a simple case, where the mathematical investigation is comparatively very easy, and we shall LAWS OF) that if a particle be moving along a find we have. We know (see VELOCITY; MOTION, line (straight or not), and the distance moved (in the time ) along the line from the point where its ds motion commenced be called 8, its velocity is v = dt Also we know that the force acting on it (in the direction of its motion) is to be measured by the increase of momentum in a given time-this gives (just as the last equation was obtained) F dt' From these two equations, we have, immediately, Fds, or, as the rudiments of the differential mv2 calculus give at once, = F.s if the 2

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force be uniform.

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The quantity on the right-hand side is the sum of the products of each value of F, by the corresponding space ds, through which the particle moved under its action. It is therefore the whole work done by the force. On the left hand, we find half the product of the mass, and the square of the velocity it has acquired; in other words, the VIS-VIVA (q. v.). Hence, in this case, the vis-viva acquired equals the amount of work expended by the force.

It appears from a general demonstration (founded on the experimental laws of motion, and therefore true, if they are), but which is not suited to the present work, that if, in any system of bodies, each be made up of particles or atoms, and if the forces these mutually exert be in the line joining each

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FORCE; ENERGY.

two, and depend merely on the distance between in popular language, an imponderable. The almost them, then we can express the required proposition universal opinion of physicists, however, seems to in the following form:

Any change of vis-viva in the system corresponds to an equal amount of work gained or lost by the attractions of the particles on each other.

be, that even the former must be accounted for in some such way. Newton, in his second letter to Bentley, says, with respect to gravitation (and it is obvious that similar language is applicable to molecular forces generally): You sometimes speak of gravity as essential and inherent to matter. Pray, do not ascribe that notion to me, for the cause of gravity is what I do not pretend to know.' And again in the third letter: 'It is inconceivable that inanimate brute matter should, without the mediation of something else, which is not material, operate on, and affect other matter without mutual contact, as it must do, if gravitation, in the sense of Epicurus, be essential and inherent in it; and this is one reason why I desired you would not ascribe innate gravity to me. That gravity should be innate, inherent, and essential to matter, so that one body may act upon another at a distance through a vacuum, without the mediation of anything else, by, and through which their action and force may be conveyed from one to another, is to me so great an absurdity, that I believe no man who has in philosophical matters a competent faculty of thinking, can ever fall into it. Gravity must be caused by an agent acting constantly according to certain laws; but whether this agent be material or immaterial, I have left to the consideration of my readers.' Of what that medium may consist, we cannot, of course, hazard even a conjecture; but if it be composed of separate atoms

What is spent, then, in work, is stored up in visviva; and conversely, the system, by losing some of its vis-viva, will recover so much work-producing power. If we call the former, as is now generally done, Actual, and the latter Potential, Energy, we may express the above by saying, that in any system of bodies where the before-mentioned restrictions are complied with, the sum of the actual and potential energies cannot be altered by the mutual action of the bodies. The most simple and evident illustrations of this proposition are to be found in the case of the force known as gravitation. The potential energy of a mass on the earth's surface is zero, because, not being able to descend, it has, in common language, no work-producing power. If it be raised above the surface, and then dropped, it is easy to see that the work expended in raising it will be exactly recovered as vis-viva after its fall. For (see FALLING BODIES) a mass falling through a space, h, to the earth acquires a velocity v, such that v2 = 2gh, mv2 or if m be the mass, mg.h. The left-hand side gives the vis-viva acquired by the fall-the right is the product of the weight (mg) and the height fallen through- or is the work required to elevate the mass to its original altitude. Hence we may calculate the amount of work-i. e., not continuous-it is evident that a second which can be obtained from a head of water in driving water-wheels, &c., remembering, however, that there is always a loss (as it is usually called) due to friction, &c., in the machinery. That there is a loss in useful power, is true, but we shall find presently that in energy there is none, as indeed our general result has already shewn. Where the apparently lost energy goes, is another question.

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Another good example of potential energy is that of the weights in an ordinary clock. It is the gradual conversion of potential into actual energy in the driving weight which maintains the motion of the clock, in spite of friction, resistance of the air, &c.; and we have in the actual energy of sound (which is motion) a considerable portion of the expended potential energy of the striking weight. A coiled watch-spring, a drawn bow, the charged receiver of an air-gun, are good examples of stores of potential energy, which can be directly used for mechanical purposes.

The chemical arrangement of the different components of gunpowder, or gun-cotton, is such as corresponds to enormous potential energy, which a single spark converts into the equivalent active amount. But here, heat has a considerable share in the effects produced; it may then be as well, before proceeding further, to consider how we can take account of it, and other physical forces, as forms of energy.

medium will be required to help the particles of the first to act on each other (for without this, the first medium would be merely obstructive), and so on. This must stop somewhere; why not, then, at the first? But in the present state of our knowledge of mechanics, a continuous medium is barely conceivable, and its motions, &c., present considerable difficulties to even plausible mathematical treatment. If we take the view opposed to Newton's, as Mosotti and others have done (their ideas are considered further on), we can, in a very artificial manner, however, account for gravitation and molecular action; but, as before said, the foundations of this attempt at explanation are hardly tenable.

Just as sound depends on the elasticity of the air and vibrations thereby maintained and propagated, light and radiant heat, which are certainly identical, most probably consist in the vibrations of some very elastic fluid. This has been provisionally named Ether (q. v.). If it be continuous, it may help us to account for the first two categories of force also, as we have already seen; if not so, as is more likely, fresh difficulties arise. Light and heat, however, are undoubtedly forms of motion, and correspond, therefore, to so much vis-viva or actual energy. Even heat in a liquid or solid body must correspond to some vis-viva in the material particles, since a hot body can give out both light and heat, and a body may be heated by luminous or calorific rays which are vibratory, as we have seen.

Correlation of Physical Forces.-So far as we yet know, the physical forces may be thus classified: I. GRAVITATION (q. v.); II. MOLECULAR FORCES — Class IV. contains perhaps the most puzzling of COHESION (including CAPILLARITY), ELASTICITY, all these forces. That there is something in comCHEMICAL AFFINITY; III. HEAT AND LIGHT; IV. mon in all the forms of electricity, and that magELECTRICITY (including MAGNETISM); V. ANIMAL netism is nearly related to them, is certain; it is FORCE; VI. VITAL FORCE, having, as some most probable, also, that frictional electricity, when statirrationally suppose, an analogue in inorganic masses, ical, consists in something analogous to a coiled which may be called Crystalline Force. (This idea spring, or is a form of potential energy-the others is examined further on.) Of these, I., II., and some being forms of actual energy. Some have supposed forms of III., are more immediately connected with magnetism to be also a form of potential energy, matter than the others-that is to say, that the but Ampère's discoveries have materially lessened remainder almost necessitate the hypothesis of the the probability of the truth of this hypothesis. We existence of some medium unlike ordinary matter, or, | shall consider this again.

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