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footing we have actually obtained upon many essential points--a footing not to be disturbed by any future change of system, or novelty of discoveryand the ascertainment of a multitude of recondite facts, and their application tu some of our most extensive and valuable arts, sufficiently prove that philocophy has neither lived nor laboured in vain. Although we have not been able to break through the spell completely-to follow up the Proteus-form of matter into its deepest recesses, and fix it in its last shape and characterwe have succeeded in developing many of its most important laws, as it will be the object of the ensuing lecture to point out, and to apply them to a solution of inany of its most important phenomena. Whatever is sure and trusty has remained to us, and whatever has given way has been mere chimera and shadow: we have chiefly, perhaps only, failed where we have Cither been too curious, or have suffered imagination to become our charioteer in the slow and sober journey of analysis.
Before we quit this subjeci, let us, in the candid spirit of genuine philoso phy, do the same justice to Epicurus as we attempted in our last lecture to Pythagoras and Plato. It has been very generally said and very generally believed, principally because it has been very generally said, that the great and mighty cause of this beautiful and harmonious formation of worlds, and systems of worlds, in the opinion of Epicurus, was mere CHANCE, OR FORTUNE. There is nothing, however, in those fragments of his works which have descended to us, that can in any way countenance so opprobrious an opinion, but various passages that distinctly controvert it,-passages in which he perempto. nly denies the existence of CHANCE OG FORTUNE, either as a deity or a cause of action; and unequivocally refers the whole of those complex series of percus. sions and repercussions, interchanges and combinations, exhibited by the elementary seeds or atoms of matter during the creative process, to a chain ofimmutale laws which they received from the Almighty Architect at the beginning, and which they still punctually obey, and will for ever obey, till the universe shall at length cease to exist. "Whom," says Epicurus, in a letter to his disciple Menaceus, that has yet survived the preying tooth of time, and will be found in Diogenes Laertius,“ do you believe to be more excellent than he who piously reveres the gods, who feels no dread of death, and rightly estimates the design of nature? Such a man does not, with the multitude, regard CHANCE as a god, for he knows that God can never act at random; nor as a CONTINGENT CAL'SE OF EVENTS; nor does he conceive, that from any such
*****r Bows the good or the evil that measures the real happiness of human life. He held, however, that the laws which govern the universe were altorrther arranged and iniposed upon it by the Creator at its first formation, and that the successive train of events to which they have given rise, have followed as the necessary result of such an arrangement, and not as the immediale superintendence of a perpetually controlling Providence. For it was the opinion of Epicurus, as well as of Aristotle, that perfect rest and tranqurity are essential to the perfect happiness even of Him, who, to adopt his own language in another place, possesses all immortality and beatitude. * Think not," says he, “that the different motions and revolutions of the heavens, the rising, setting, eclipses, and other phenomena of the planets, are produced by the immediate control, superintendence, or ministration of Hirn who possesses all immortality and beatitude; it is from the immutable Laws which they received at the beginning, in the creation of the universe, at they punctually fulfil their several circuits."
The origin of this calumuy upon the character of Epicurus it is by no means difficult to trace, and it has been sufficiently traced, and sufficiently
mpound, bv Diogenes Laertius, Gassendi, Du Rondelle, and other distinguglied writers, who have done ampie justice to his memory; and upon the P lessions of Plutarch, Cicero, and Seneca, abundantly proved, that it was the sumne rancorous spirit of envy among many of his competitors for public Iarne, and especially among the Stoic philosophers, which strove to fix upon
• rr m e trupin niry into thin kubyert, the rendesis referred to the authors Prolegomrba to tas tra de of “The Malure of Things," from which iluunnary is drawn
him the charge of voluptuous living, though the most temperate and abstemious Athenian of his day; that thus, with yet keener malevolence, endeavoured to brand him with the still fouler reproach of the grossest impiety and atheism. It is, indeed, scarcely to be believed, if the fact were not concurrently attested by all the writers of antiquity, that the philosopher whose name, from the low and malignant spirit I have just adverted to, has been proverbialised for general licentiousness and excess, drew the whole of his daily diet from the plainest pottage, intermixed with the herbs and fruits of his pleasant and celebrated garden. “I am perfectly contented,” says he, in an epistle to another friend, “with bread and water alone; but send me a piece of your Cyprian cheese, that I may indulge mysels whenever I feel disposed for a luxurious treat.” Such, too, was the diet of his disciples. Water, says Diocles, was their common beverage; and of wine they never allowed themselves more than a very small cup. And hence, when the city of Athens was besieged by Demetrius, and its inhabitants reduced to the utmost extremity, the scholars of Epicurus bore up under the calamity with less inconvenience than any other class of citizens; the philosopher supporting them at his own expense, and sharing with them daily a small ration of his beans. The pleasure of friendship, the pleasure of virtue, the pleasure of tranquiility, the pleasure of science, the pleasure of gardening, the pleasure of o the works of nature, and of admiring her in all the picturesque beauty of her evolutions, formed the sole pursuit of his life. This alone, he affirmed, deserves the name of PLEASURE, and can alone raise the mind above the grovelling and misnamed pleasures of self-indulgence, debauchery, and excess. There is something gratifying to an enlarged and liberal spirit in being thus able to rescue from popular, but unfounded obloquy, a sage of transcendant genius and almost unrivalled intellect, and in restoring him to the admiration of the virtuous and the excellent. That he did not feel the force of any argument offered by nature in proof of the immortality of the soul, and was in this respect considerably below the standard of Socrates and Cicero, must be equally admitted and lamented; and should teach us the high value of that full and satisfactory light which was then so much wanted and has since been so gloriously shed upon this momentous subject. But let it at the same time be remembered, that, with a far bolder front than either of the philosophers here adverted to, he dared to expose the grossness and the absurdities of the popular religion of his day, and in his life and his doctrines gave a perpetual rebuke to vice and immorality of every kind. And hence, indeed, the main ground of the popular calumny with which his character was attacked, and which has too generally accompanied his memory to the present day.
In our last lecture I endeavoured to render it probable, that all visible or sensible matter is the result of a combination of various solid, impenetrable, and exquisitely fine particles or units of the same substance, too minute to be detected by any operation of the senses. Of the shape or magnitude of these particles we know nothing: and even their solidity and impenetrability, as I then observed, is rather an assumption for the purpose of avoiding seve. ral striking difficulties and absurdities that follow from a denial of these qualities, than an ascertained and established fact.
From this unsatisfactory view of it in its elementary and impalpable state, let us now proceed to contemplate it in its manifest and combined forms, and to investigate the more obvious properties they offer, and the general laws by which they are regulated.
The change of distance between one material body and another, or, in other words, their approach to or separation from each other, is called MOTION; and the wide expanse in which motion of any kind is performed, is de nominated space.
Malter has its ESSENTIAL, and its PECULIAR PROPERTIES. Its essential properties are those which are common to it under every form or mode of combination. Its peculiar properties are those which only appertain to it un der definite forms or definite circumstances.
The ESSENTIAL PROPERTIES of matter are usually classed under the six follow ing heads: passivity, extension, density, impenetrability, divisibility, and gravi talion; which, however, may easily be reduced to four, since extension, density ani inpenetrability, may be comprehended under the general term cohesibility
PASSIVITY, inertia or vis inertia, is the tendency in a body to persevere in a giren state, whether of rest or motion, till disturbed by a body of superior force. And hence these terms, which are mere synonymes, imply a power of mobility as well as a power of quiescence; although passivity has often been contined to quiescence, while mobility has been made a distinct property Thus it is from the same power, or tendency to passivity, that a cannon ball continues its motion after being projected from a gun, as that by which it remained at rest before it was thrown ofl; for it is a well known theorem in projectilesthat the action of the powder on a bullet ceases as soon as the bullet is out of the piece In like manner a billiard ball at rest will continue so till put into motion by a billiard ball in motion, for it can never commence motion of its own accord While a billiard ball in motion would persevere in motion, and in the same velocity of motion, for ever, if it met with no resistance. But it dors meet with resistance from a variety of causes, as the friction of the atinosphere, the friction of the green cloth, and at last a contact with one of the sides of the table, or with the ball against which it is directed.
In this last case either ball will receive conversely the same precise proportion of rest or motion which it communicates. Thus, if the ball in motion strike the ball at rest obliquely, the latter will be put into a certain degree of artivity, and the former will, in the very same degree, be impeded in its progress, and receive an equal tendency to a state of rest. If the latter, on the contrary, by what is significantly called a dead stroke, receive the whole charge of motion which belongs to the former, it will give to the former, in like manner, the whole possession of its quiescence, and the state of each will be completely reversed: the ball hitherto at rest proceeding with all the velority of that hitherto in motion, and the ball hitherto in motion exhubiting the dead stand of that hitherto at rest.
So, if it were possible to place an orb quietly in some particular part of space, where it would be equally free from the attractive iniluence of every one of the celestial systems, it would, from the same tendency to inertitude, remain quiescent and at rest for ever. While, on the contrary, is a body were to be thrown from any one of the planets by the projectile force of a volcano, or of any other agency, beyond the range of the attractive or centripetal power of such planet, it would continue the same velocity of motion for ever which it possessed at the moment of quitting the extreme limit of the planet's influence; unless in its progress it should encounter the influence of some other planet; and in this last case it would be either drawn directly into contact with the planet it thus casually approached, or would have its path inflected into a circle, and revolve around it as a satellite, according to its velocity, and the relative direction of its course at the moment the planetary influence began to take effect. Thus a body projected horizontally to the distance of atrout 4.35 miles from the earth's surface, provided there were no resistance in the aimosphere, would not fall back again, but become a satellite to the earth, and perpetually revolve around it at this distance. The moon is supposed to have no atmosphere, or, at the utmost, one rarer than we can produre with our best air-pumps: she is also supposed to possess larger and more active volcanoes than any which are known to exist on the earth. And bence it requires no great stretch of imagination to conceive that bodies
may occasionally be thrown from the moon, by the projectile power of such volcanoes, to such a distance as that they should never return to her surface: for if the momentum be only sufficient to cause the mass ejected to proceed at the rate of about 8,200 feet in the first second of time,” and in a line passing through the moon and the earth, such effect would necessarily be produced; since, in this case, the propelled mass would quit the centripetal power of the former, and be drawn into that of the latter, and would either become a satellite to the earth, or be precipitated to its surface, according as the rectilinear force of the projectile was equal or inferior to the attractive force of the earth at their first meeting together. Yet this is, perhaps, but little more than the velocity with which a twentyfour pound cannon ball would travel from the moon's surface: since its velocity on the earth's surface may be calculated at about 2,000 feet for the first second; and it would rush nearly four times as rapidly if not impeded by the resistance of the atmosphere. And hence it is to this cause that M. Olbers first, and M. la Place has since, ascribed the origin of those wonderful aerolites, or stones, that are now known to have fallen from the air at some period or other in every quarter of the globe; believing them to be in every instance ... volcanic productions of the moon, thrown by the impulse of the explosion beyond the range of her centripetal influence. Cohesibility is the tendency which one part of matter evinces to unite with another part of matter so as to form out of different bodies one common mass. It includes the three modes which have often been regarded as three distinct properties, of extension, density, and impenetrability. Extension is a term as applicable to space as to matter: “The extension of body,” observes Mr. Locke, “being nothing but the cohesion or continuity of solid, separable, moveable parts; and the extension of space the continuity of unsolid, inseparable, and immoveable parts.” Hence extension applies to all directions of matter, for its continuity may take place in all directions; but in common language the longest extension of a body is called its length, the next its breadth, and the shortest its thickness. DENsity is a property in matter to cohere with a closer degree of approximation between the different particles of which it consists; so that the same body, when in the exercise of this property, occupies a smaller portion of space than before it was called into act. Hence density cannot be a property of space, the parts of which, as I have just observed, are immoveable, and cannot, therefore, either approach or recede. IMPENETRAbility is the result of density, as density is of extension. It is that property in matter which prevents two bodies from occupying the same place at the same time. They are all branches of the common property of cohesibility. A wedge of iron, indeed, may force its way through the solid fibres of the trunk of a tree; but it can only do this by separating them from each other: it cannot penetrate the matter of which those fibres consist. In like manner, when a ship is launched, her hulk cannot sink into the water without displacing the exact bulk of watcr which existed in the space that the hulk below the surface now occupies. To a cursory survey, however, there are some phenomena that seem to show that certain bodies are penetrable by others. Thus, is a cubic inch of water be mixed with a cubic inch of spirit of wine or sulphuric acid, the bulk of the compound will be something less than two cubic inches. But in this case one of the fluids appears to admit a part of the other fluid into its pores ; a fact of which there can be but little doubt, since, if no evaporation be allowed to take place, though the bulk of the mixture is somewhat diminished, its weight is precisely equal to what it ought to be. The combination of different metals affords, not unfreqently, similar instances of equal introsusception. Divisibility is a power in matter directly opposed to its cohesibility. It is that property of a body by which it is capacified for separating into parts, the union or continuity of which constituted its extension.
* La Place, Exposition du Système du Moude
Divisibility, however, does not destroy coliesion in every instance equally ; though the further it proceeds, the farther it loosens it. We are told by Mr. Boyle, that two grains and a hall of silk were, on one occasion, spun into a thread not less than three hundred yards long, which is, notwithstanding, a much shorter length than the spider is capable of spinning his web of the same weight. Muschenbroek mentions an artist of Nuremburg, who drew gold wire so fine that 500 inches of it only weighed one grain; and Dr. Wollaston has obtained platinum wire as fine as oth of an inch. The thickness of un-foil is about a thousandth part of an inch;t that of gold-leaf is less than a two hundredth thousandth part of an inch; and the gilding of lace is still thinner, probably in some cases not more than a millionth part of an inch; and there are living beings visible to the microscope, of which a million million would not make up the bulk of a cominon grain of sand. Yet it is highly probable, from what has actually been ascertained of the anatomy of minute and miscroscopic animals, that many of these are as complicated in their structure as the elephant or the whale.
GRAVITATION is the common basis upon which all the preceding properties are buli, except passivity; the great principle into which all the rest resolve themselves. Gravitation is the attraction by which bodies of all kinds act upon each other, with a force regulated by the aggregate proportion of their respective quantities of matter, and decreasing as the squares of the distances increase. It is a law impressed on matter universally, and hence operates alike on the minutest and on the largest masses; produces what we call weight on earth, or the tendency of heavy bodies to fall towards the earth's centre; and governs the revolutions of the planets. The five principles which regulate its mode of action, and constitute its magnificent code of laws, are thus summed up by M. la Place. I
1. Gravitation takes place between the most minute particles of bodies. 2. It is proportional to their masses. 3. It is inversely as the squares of the distances. 4. It is transmitted instantaneously from one body to another.
6. It acts equally on bodies in a state of rest, and upon those which, moving within its range, seem to be flying off from its power.
To a casual observer there are many substances that seem to fly away from the earth, and consequently to oppose this general law. Thus smoke, when extricated from burning bodies, and vapour, when separated from liquids, ascend into the atmosphere; and a piece of cork, plunged to the bottom of a vessel of water, rises rapidly to the surface. But, in all these phenomena, the bodies that seem to nove upwards merely give way to bodies of a heavier kind, or, in other words, which have a stronger tendency towards the earth. Thus smoke and vapour only ascend, because the surrounding air, which is heavier than these, presses downwards and takes their place; and the cork rises because lighter than the water into which it has been plunged: but empty the vessel, and the cork will remain at the bottom, because heavier than the surrounding air; and let the smoke or the vapour be received into a vacuum, and it will remain as much at the bottom as the cork.
It was first systematically demonstrated by Sir Isaac Newton, that all the motions of all the heavenly bodies depend upon the same power; and the principle thus struck out has of later years been still more extensively and even more accurately applied to a solution of the most complicated phenomena. This principle in astronomy is denominated the centripetal force, and the term is sufficiently precise for all common purposes; since, although
peaking with perfect strictness, the central point of no solid substance is the actual spot in which its attractive power is chiefly lodged, yet it has been abundantly proved by Sir Isaac, that all the matter of a spherical body, or a epherical surface, may, in generally estimating its attractive force on other matter, be considered as collected in the centre of such spiere. And hence, as ail the celestial bodies are nearly spherical, their action on bodies at a dis
• Walnutarn in Phil. Trang for 1913, p. 114. Thomsonin Annals of Philos. No IT p 294.
* Exposition du me du Monde