..14 ol;oz4mmwwb or 0 0 ELEMENTS OF PHYSICS; OR, NATURAL PHILOSOPHY, GENERAL AND MEDICAL:'WRITTEN FOR UNIVERSAL USE, IN PLAIN OR NON-TECHNICAL LANGUAGE; AND CONTAINING NEW DISQUISITIONS AND PRACTICAL SUGGESTIONS. COMPRISED IN IVE PARTS: 1. SOMATOLOGY, STATICS AND 3. PNEUMATICS, HYDF AULICS DYNAMICS. AND ACOUSTICS. 2. MECHANICS. 4. HEAT AND LIGHT. 5. ANIMAL AND MEDICAL PHYSICS. BY NEILL ARNOTT, M. D. OF THE ROYAL COLLEGE OF PHYSICIANS. A NEW EDITION, REVISED AND CORRECTED FROM THE LAST ENGLISH EDITION.,WITH ADDITIONS. BY ISAAC HAYS, M. D. COMPLETE IN ONE VOLUME. PHILADELPHIA: BLANCHARD AND LEA. 1856. Entered according to Act of Congress, in the year 1841, by LEA AND BLANCHARD, in the Clerk's Office of the District Court of the United States, in and for the Eastern Distr:cli of Pennsylvania. ADVERTISEMENT OF THE AMERICAN PUBLISHERS. THE very valuable and popular work of Dr. Arnott, has passed through several editions in this country, in the form in which it was originally published by the author, in separate parts. A new edition being now called for, the work has been carefully revised and corrected, and the whole condensed into one volume. In this form it cannot fail to be more acceptable to the public, and rendered more convenient and useful for the purposes of instruction in the various Colleges and Seminaries of Learning that have adopted it as a Class Book for their pupils. This volume embraces all that has been prepared or published by the author. INTRODUCTION. To appreciate the importance of PHYSICS or NATURAL PHILOSOPHY, as an object of study not only to all persons engaged in scientific pursuits, but, in the present day, to all who pretend to a moderately good education, we must take a rapid glance at the nature of human knowledge generally, and at its bearings on the existing condition of mankind. WHILE the inferior races of animals on earth seem to have changed as little in any respect since the beginning of human records, as the trees and herbs of the thickets, which gave many of them shelter, the condition of man himself has fluctuated, but, on the whole, progressed in a very remarkable manner. The inferior animals were formed by their Creator such, that within one life or generation they should attain all the perfection of which their nature was susceptible. Their wants were either immediately provided foras instanced in the clothing of feathers to birds, and of furs to quadrupeds; or were so few and simple, that the supply was easy to very limited powers -except in a few cases where considerable art was required, as by the bee in making its honey-cell, or by the bird in constructing its beautiful nest, and there, a peculiar aptitude or instinct was bestowed. Thus a crocodile which issues from its egg in the warm sand, and never sees its parent, becomes as perfect and knowing as any crocodile that has lived before or that will appear after it.-But how different is the story when we turn to man? He comes into the world the most helpless of living beings, long to continue so; and if deserted by parents at an early age, so that he can learn only what the experience of one life may teach him,-as to a few individuals has happened who yet have attained maturity in woods and deserts,-he grows up in some respects inferior to the nobler brutes. Now as regards many regions of the earth, history exhibits the early human inhabitants in states of ignorance and barbarism, not far removed from this lowest possible grade, which civilized men may shudder to contemplate. But these countries, occupied formerly by straggling hordes of miserable savages, who could scarcely defend themselves against the wild beasts that shared the woods with them, and the inclemencies of the weather, and the consequences of want and fatigue, and who to each other were often more dangerous than any wild beasts, unceasingly warring among themselves, and destroying each other with every species of savage and even cannibal cruelty-countries so occupied formerly, are now become the abodes of peaceful, civilized and friendly men, where the desert and the impenetrable forest are changed into cultivated fields, rich gardens and magnificent cities. It is the strong intellect of man, operating with the faculty of language as a means which has gradually worked this wonderful change. By language, fathers communicate their gathered experience and reflections to their children, and these to succeeding children, with new accumulation; and when, after many generations, the precious store had grown until simple memory could retain no more, the arts of writing and then of printing, arose, making language visible and permanent, and enlarging illimitably the repositories of Vi INTRODUCTION. knowledge. Language thus, at the present moment of the world's existence, may be said to bind the whole human race of uncounted millions into one gigantic rational being, whose memory reaches to the beginnings of written records, and retains imperishably the important events that have occurred; whose judgment analyzing the treasures of memory, has discovered many of the sublime and unchanging laws of nature, and has built on them all the arts of life, and through them piercing far into futurity, sees clearly many of the events that are to come, aVd whose eyes and ears, and observant mind at this moment, in every corner of the earth, are watching and recording new phenomena, for the purpose of still better comprehending the magnificence and beautiful order of creation, and of more worthily adoring its beneficent author. It might be very interesting to show here, in minute detail, how the arts and civilization have progressed in accordance with the gradual increase of man's knowledge of the universe; but to do so would lead too far from the main subject. We deem it right, however, to make evident to the student the arousing truths, that the progress is not yet at an end; that it has been vastly more rapid in recent times than ever; and that it seems still to proceed with increasing celerity: —and we know not where the Creator has fixed the limits of the change! Although there are thousands of years on the records of the world, our BACON, who first taught the true way to investigate nature, lived but the other day. NEWTON followed him, and illustrated his precepts by the most sublime discoveries which one man has ever made. HARVEY detected the circulation of the blood only two hundred years ago. ADAM SMITH, DR. BLACK and JAMES WATT were friends, and the last, whose steam-engines are now changing rapidly the condition of empires, may be said to be scarcely cold in his grave. JOHN HUNTER died not long ago; HERSCHEL'S accounts of newly-discovered planets, and of the sublime structure of the heavens, and DAVY'S account of chemigal discoveries not less important to man, are in the late numbers of our scientific journals; —illustrious Britons these, and who have left worthy successors treading in their steps. On the continent of Europe during the same period, a corresponding constellation of genius has shone; and LAPLACE was lately the bright star shining between the future and the past. But there is a change going on in the world, connected closely with the progress of science, yet distinct from it, and more important than a great part of the scientific discoveries; —it is the diffusion of existing knowledge among the mass of mankind. Formerly, knowledge was shut up in convents and universities, and in books written in the dead languages —or in books which, if in the living languages, were so abtruse and artificial, that only a few persons had access to their meaning; and thus the human race being considered as one great intellectual creature, a smallfraction only of its intellect was allowed to come into contact with science, and therefore into activity. The progress of science in those times was correspondingly slow, and the evils of general ignorance prevailed. Now, however, the strong barriers which confined the stores of wisdom have been thrown down, and a flood is overspreading the earth; old establishments are adapting themselves to the spirit of the age; new establishments are arising; the inferior schools are introducing improved systems of instruction; and good books are rendering every man's fireside a school. From all these causes there is growing up an enlightened public opinion, which quickens and directs the progress of every art and science, and through the medium of a free press, although overlooked by many, is now rapidly becoming the governing influence in all the affairs of INTRODUCTION. vii man. In Great Britain, partly perhaps as a consequence of its insular situation, which lessened among its inhabitants the dread of h6stile invasion, and sooner formed them into a united and compact people, the progress of enlightened public opinion had been more decided than in any other state. The early consequences were more free political institutions; and these gradually led to greater and greater improvements, until Britain became an object of admiration among the nations. A colony of her children, imbued with her spirit, now occupies a magnificent territory in the new world of Columbus; and although it has been independent as yet for only half a century, it already counts more people than Spain, and will soon be second to no nation on earth. The example of the Anglo-Americans has aided in rendering their western hemisphere the cradle of many other gigantic states, all free, and following, although at a distance, the like steps. In the still more recently discovered continent of Australasia, which is nearly as large as Europe, and is empty of men, colonization is spreading with a rapidity never before witnessed; and that beautiful and rich portion of the earth will soon be covered with the descendants of free-born and enlightened Englishmen. Thence, still onward, they or their institutions will naturally spread over the vast archipelago of the Pacific Ocean, a tract studded with islands of paradise. Such, then, is the extraordinary moment of revolution, or transit, in which the world at present exists! And where, we may ask again, has the Creator predestined that the progress shall cease? Thus far at least we know, that he has made our hearts rejoice to see the world filling with happy human beings, and to observe that the increase of the sciences can make the same spot maintain thousands in comfort and godlike elevation of mind, where with ignorance even hundreds had found but a scanty and degrading supply. The progress of knowledge which has thus led from former barbarism to present civilization, has gone on by certain remarkable steps, which it is easy to point out; and which it is very useful to consider, because we thereby discover the nature of human knowledge, with the relations and importance of its different branches; and we obtain great facilities for studying science, and for quickening its farther progress. The human mind, when originally directed to the almost infinity of objects in the universe around it, must soon have discovered that there were resemblances among them; in other words, that the infinity was only a repetition of a certain number of kinds. Among animals, for instance, it would distinguish the sheep, the dog, the horse; among vegetables, the oak, the beech, the pine; among minerals, lime, flint, the metals, and so forth. And becoming aware that by studying an examplar of each kind, its limited power of memory might acquire a tolerably correct knowledge of the whole, while this knowledge would enable the possessors more easily to obtain what was useful to them, and to avoid what was hurtful, the desire for such knowledge must have arisen with the first exercise of reason. Accordingly, the pursuit of it has been unremitting, and the labour of ages has at last nearly completed an arrangement of the constituent materials of the universe, under three great classes of MINERALS, VEGETABLES and ANIMALS; commonly called the three kingdoms of Nature, and of which the minute description is termed NATURAL HISTORY: and museums of natural history have been formed, which contain a specimen of almost every object included in these'classes, so that now, a student within the limits of an ordinary garden, may be said to be able to examine the whole of the material universe. While men are examining the forms and other qualities of the bodies around them, they could not avoid noticing also the motions or changes going viii INTRODUCTION. on among bodies; and here, too, they would soon make the grand discovery that there were resemblances in the multitude. Self-interest, as in the case of the bodies themselves, having prompted to careful classification, in the present day, as the result of countless observations and experiments made through the series of ages, we are enabled to say, that all the motions, or changes, or phenomena (words synonymous here) of the universe, are merely a repetition and mixture of a few simple manners, or kinds of motion or change, which are as constant and regular in every case as where they produce the returns of day and night, and of the seasons. All these phenomena are referable to four distinct classes, which we call Physical, Chemical, Vital and Mental. The simple expressions which describe them are denominated General Truths or Laws of N3ature, and as a body of knowledge, they constitute what is called SCIENCE OF PHILOSOPHY, in contradistinction of NATURAL HISTORY, already described. Now as man cannot, independently of a supernatural revelation, learn anything but what respects, 1st, the momentary state, past or present, of himself and the objects around him; and 2d, the manner in which the states are changed; Natural History and Science, in the sense now explained, make up the whole sum of his knowledge of nature. To exemplify the process by which a general truth or law of nature is discovered, we shall take the physical law of grarity or attraction. 1st. It was observed that bodies, in general, if raised from the earth, and left unsupported, fell towards it; while flame, smoke, vapors, &c., if left free, ascended away from the earth. It was held, therefore, to be a very general law, that things had weight; but that there were exceptions in such matters, as now mentioned, which were in their nature light or ascending. 2d. It was discovered that our globe of earth is surrounded by an ocean of air, having nearly fifty miles of altitude or depth, and of which a cubic foot taken near the surface of the earth, weighs about an ounce. It was then perceived that flame, smoke, vapor, ic., rise in the air only as oil rises in water, viz., because not so heavy as the fluid by which they are surrounded; it followed, therefore, that nothing was known on earth naturally light, in the ancient sense of the word. 3d. It was found that bodies floating in water, near to each other, approached and feebly cohered; that any contiguous hanging bodies were drawn towards each other, so as not to hang quite perpendicularly; and that a plummet suspended near a hill was drawn towards the hill with force only so much less than that with which it was drawn towards the earth, viz, the weight of the plummet, as the hill was smaller than the earth. It was then proved that weight itself is only an instance of a more general mutual attraction, operating between all the constituent elements of this globe; and which explains, moreover, the fact of the rotundity of the globe, all the parts being drawn towards a common centre, as also the form of dew-drops, rain-drops, globules of mercury, and of many other things; which, still further, is the reason why the distinct particles of which any solid mass, as a stone or piece of metal, is composed, cling together as a mass, but which, when overcome by the repulsion of heat, allows the same particles to assume the form of a liquid or air. 4th. It was further observed, that all the heavenly bodies are round, and must, therefore, consist of material obeying the same law. 5th. And- lastly, that these bodies, however distant, attract each other; for that the tides of our ocean rise in obedience to the attraction of the moon, and become high or spring-tides, when the moon and sun operate in the same direction. Thus the sublime truth was at last made evident, and by the genius of the immor I.NTROD UCTIO N. iX tal Newton, that there is a power of attraction connecting together the bodies of this solar system at least, and probably limited only by the bounds of the universe. Acquaintance with the laws of nature has been very slowly obtained, owing to that complexity of ordinary phenomena, which is produced by several laws operating together, and under great variety of circumstance. With respect to many laws of Chemistry and Life, men seem to he yet little farther advanced than they were with respect to the physical law of attraction, when they knew only that heavy things fell to the' earth. But we have learned enough to perceive that the great universe is as simple and harmonious as it is immense; and that the Creator, instead of interposing separately, or miraculously, in the common sense of the word, to produce every distinct phenomenons, has willed that all should proceed according to a few general laws. There is nothing in nature so truly miraculous and adorable as that the endless and beneficent variety of results which we see, should spring from such simple elements. In times of ignoranee, men naturally regarded every occurrence which they did not understand, that is to say, which they could not refer to a general law, as arising from a direct interference of supreme power; and thus, for many ages, among some nations still, eclipses and earthquakes, and many diseases, particularly those of the mind, and the winds and weather, were or are accounted miraculous. Hence arose, among heathens, many ceremonies, and sometimes even barbarous sacrifices, for propitiating or appeasing their offended deities; but founded on expectations no more reasonable than if we should now pray to have the day of the year made shorter, or to have a coming eclipse averted. They had not yet risen to the sublime conception of the one God, who said, " Let there be light," and the light was; and who gave the whole of nature permanent laws, which he allows men to discover for the direction of their conduct in life-laws so unchanging, that by them we can calculate eclipses backward or forward for thousands of years, almost without erring, by the time of one beat of a pendulum; and as our knowledge of nature advances, we can anticipate and explain other events with equal precision. Even the wind and the rain, whiph, in common speech, are the types of uncertainty and change, obey laws as fixed as those of the sun and moon; and already, as regards many parts of the earth, man can foretell them without fear of being deceived. He plMns his voyages to suit the coming monsoons, and he prepares against the floods of the rainy seasons. The general laws of Nature, divisible, as stated above, into the four classes of, 1st, Physics, often called Natural Philosophy; 2d, of Chemistry; 3d, of Life, commonly called Physiology; and 4th, of Mind, may be said to form the pyramid of Science, of which Physics is the base, while the others constitute succeeding layers in the order now mentioned; the whole having certain mutual relations and dependencies well figured by the parts of a pyramid. We must describe them more particularly, to show these relations. Physics.-The laws of Physics govern every phenomenon of nature in which there is any sensible change of place, being concerned alone in the greater part of these phenomena, and regulating the remainder which originate from chemical action, and from the action of life. The great physical truths, as comprehended in the present day by man, are reduced to four, and are referred to by the words atom, attraction, repulsion and inertia. It gives an astonishing, but true idea of the nature and importance of methodical Science, to be told that a man, who understands these words,.viz., how the ATOMS of matter by mutual ATTRACTION approach and cling together X IN TRODU CTION. to form masses, which are solid, liquid, or aeriform, according to the quantity or REPULSION of heat among them, and which, owing to their INERTIA or stubbornness, gain and lose motion, in exact proportion to the force of attraction or repulsion acting on then, —understands the greater part of the phenomena of nature; but such is the fact! Solid bodies existing in conformity with these truths, exhibit all the phenomena of Mechanics; Liquids exhibit those of Hydrostatics and fHydraulics; Airs, those of Pneumatics; and so forth, as seen in the table of heads given below, at page xii. And the whole of this work is merely a list of' the most interesting physical phenomena, arranged in classes under these heads. Chemistry. —Had there been only one kind of substance or matter in the universe, the laws of Physics would have explained all the phenomena; but there are iron, and sulphur, and charcoal, and about fifty others, which to the present state of science, appear essentially distinct. Now these, when taken singly, obey the laws of Physics; but when two or more of them are placed in contact, under certain circumstances, they exhibit a new order of phenomena. Iron and sulphur, for instance, brought together and heated, disappear as individuals, and unite into a yellow metallic mass, which, in most of its properties, is unlike to either:-under other new circumstances, the two substances will again separate, and assume their original forms. Such changes are called chemical, (from an Arabic word signifying to burn, because so many of them are effected by means of heat,) but during the changes, the substances are not withdrawn from the influence of the physical laws,-their weight or inertia, for instance, is not altered; and indeed the phenomenon is merely a modification of general attraction and repulsion. Many chemical changes, besides, are only the beginnings of purely mechanical changes, as when the new chemical arrangement produced by heat among the intimate atoms of gunpowder, causes the mechanical or physical motion of the sudden expansion or explosion. And all the manipulations of Chemistry, as the transferring of gases from vessel to vessel, the weighing of bodies, pounding, grinding, &c., are directed to Physics alone. Chemistry, then, is truly, as figured above, a superstructure on Physics, and cannot be understood or practised by a; person who is ignorant of Physics. The chief departments of study involving the consideration of Chemical in conjunction with Physical laws, are enumerated in the table below, under the head of CHEMISTRY. Life.-The most complicated state in which matter exists, is where, under the influence of life, it forms bodies with a curious internal structure of tubes and cavities, in which fluids are moving, and producing incessant internal change. These are called Organized Bodies, because of the various distinct parts or organs which they contain; and they form two remarkable classes, the individuals of one of which are fixed to the soil, and are called Vegetables; and of the other, are endowed with power of locomotion, and are called Animals. The phenomena of growth, decay, death, sensation, selfmotion, and many others, belong to life, but from occurring in material structures which subsist in obedience to the laws of Physics and Chemistry, the life is truly a superstructure on the other two, and cannot be studied independently of them. Indeed the greater part of the phenomena of organic life are merely chemical and physical phenomena, modified by an additional principle. The science of Life is divided into animal and vegetable Physiology (see the table below). - Mind. —The most important part of all science is the knowledge which man has obtained of the laws governing the operations of his own MIND. This department stands eminently distinct from the others, on several INTR OD DUCTION. xi accounts. Unlike that of organic lf/e, which could not be understood until physics and chemistry had been previously investigated, this had made extraordinary advances in a very early age, when the others, as methodical sciences, had scarcely begun to exist. In proof of this assertion we need only refer to the writings of the Greek philosophers. The most brilliant discoveries and applications, however, were reserved for the moderns, as'will occur to many readers, on perusing, in the table below, the several divisions of the subject, and recollecting the honoured names which are now associated with each. It is truly admirable to see the modern analysis, deducing from a few simple laws of mind, act the subordinate departments, just as it deduces mechanics, hydrostatics, pneumatics, &c., from the laws of physics: and let us hope that sound opinions on this subject, ensuring human happiness, and therefore, beyond comparison, more important than any other knowledge, will soon be widely spread. The crowning science of Mind, although in certain respects independent of the science of Matter, is still closely allied to them in the following ways. The faculties of the mind are originally awakened or called into activity solely by the impressions of matter or external nature; all the language used in speaking of mind and its operations, is borrowed from matter; and many mental emotions are entirely dependent on bodily conditions. The science of Mind, therefore, cannot be studied until after knowledge acquired of an external nature; and cannot be studied extensively until that knowledge be extensive. Quantity.-To express most of the facts and laws of Physics, Chemistry and Life, terms of QUANTITY are required, as when we speak (f the magnitude of a body, or say, that ihe force of attraction between two bodies diminishes, in a certain proportion, as their distance increases. Hence arises the necessity of having a set of fixed measures or standards, with which to compare all other quantities. Such measures have been adopted; and they are, for NUMBERS, the fingers, fives and tens; for LENGTH, the human foot, cubit, pace, &c.; and lately the second's pendulum and the French metre, ( taken from the magnitude of our globe ); for SURFACE S, the simplest forms of circle, square, triangle, &c., compared among themselves by the lengths of their diameters or other suitable lines; and for SOLID BULK, the corresponding simple solids, of globe, cube,pyramid, cone, &c., similarly compared by the lengths of diameters or of other lines of dimension. The rules for applying these standards to ail possible cases, and for comparing a kinds of quantities with each other, constitute a body of science, called the cience of Quantity, the Mlathematics. It may be considered as a subsidiary department of human science, created by the mind itself, to facilitate the study of the others. Supposing description of particulars, or Natural History, to be studied along with the different parts of the System of Science sketched in the table, there will be included in the scheme the whole knowledge of the universe which man can acquire by the exercise of his own powers: that is to say, what he can acquire independently of a supernatural Revelation. And on this knowledge all his arts are founded,-some of them on the single part of Physics, a that of the machinist, architect, mariner, carpenter, &c.; some on Chemistry, (which includes Physics,) as that of the miner, glassmaker, dyer, brewer, &c.; and some on Physiology, (which includes much of Physics and Chemistry,) as that of the scientific gardener or botanist, agriculturist, zoologist, &c. The business of teachers of all kinds, and of governors, advocates, linguists, &c.,'&c., respects chiefly the science of Mind. The art of medicine requires in its professor a comprehensive knowledge of all the departments. Xii INTRODUCTION. TABLE OF SCIENCE AND ART. 1. PHYSICS. 2. CHEMISTRY. Mechanics, Simple substances, Hydrostatics, Mineralogy, Hydraulics, Geology, Pneumatics, Pharmacy, Acoustics, Brewing, Heat, Dyeing, Optics, Tanning, Electricity, &c. Astronomy, &c. 3. LIFE. 4. MIND. Vegetable Physiology. Intellect, Botany, Logic, Horticulture, Mathematics, Agriculture, &c. &c. Motives to action, Animal Physiology, Emotions and Passions, Zoology, Morals, Anatomy, Government, Pathology, Political Economy, Medicine Theology, &c. Education. In the first stages of education, viz., during the years of childhood and youth, the learning acquired is necessarily of the most mixed kind, and much gf it is determined by what is called accident; but from the mutual depen ence of the different departments of science, as explained in the preceding paragraphs, it follows that with a view to complete erudition, the order exhibited in "The Table," is that in which they should afterwards be studied, so as to prevent repetitions and anticipations, and to diminish, as much as possible, the labor of acquirement. Every man may be said to begin his education, or acquisition of knowledge, on the day of his birth. Certain objects, repeatedly presented to the infant, are, after a time, recognized and distinguished. The number of objects thus known gradually increases, and from the constitution of the mind, they are soon associated in the recollection, according to their resemblances, or obvious relations. Thus, sweetmeats, toys, articles of dress, &c., soon form distinct classes in the memory and conceptions.: At a later age, but still very early, the child distinguishes readily between a mineral mass, a vegetable, and an animal; and thus his mind has already noted the three great classes of natural bodies, and has acquired a certain degree of acquaintance with Natural History. He also soon understands the phrases " a falling body," " the force of a moving body," and has therefore a perception of the INTRODUCTION. Xiii great physical laws of gravity and inertia. Then having seen sugar dissolved in water, and wax melted round the wick of a burning candle he has learned some phenomena of Chemistry. And having observed the conduct of the domestic animals, and of the persons about him, he has begun his acquaint. ance with Physiology, and the science of mind. Lastly, when he has learned to count his fingers and his sugar plums, and to judge of the fairness of the division of a cake between himself and brothers, he has advanced into Arithmetic and Geometry. Thus within a year or two, a child of common sense has made a degree of progress in all the great departments of human science; and in addition has learned to name objects, and to express feelings, by the arbitrary sounds of language. Such, then, are the beginnings or foundations of knowledge, on which'future years of experience, or methodical education, must rear the superstructure of the more considerable attainments which befit the various conditions of men in a civilized community. In the course of the preceding disquisition, we have seen that Physics, or Natural Philosophy, the subject of the present volume, is fundamental to the other parts, and is therefore that of which a knowledge is indispensable. Bacon truly calls it " the root of the sciences and arts." That its importance has not been marked by the place which it has held in common systems of education, is owing chiefly, 1st, to the misconception that a knowledge of technical mathematics was a necessary preliminary; and, 2d, to an opinion, also erroneous, that the degree of acquaintance with Physics which all persons acquire by common experience, is sufficient for common purposes; now it is true, that the toys of childhood, as the windmill, ball, syphon, tube, and a hundred others, furnish so many exemplifications of the laws of Physics, and may well be called a philosophical apparatus; but they give information which is exceedingly vague, and not at all such as is absolutely requisite in the practice of many of the arts. If, then, the study of Physics be so easy as now appears, and so important as we shall try still farther to show, there can be no excuse for neglecting it. The greatest sum of knowledge acquired with the least trouble is, perhaps, that which comes-with the study of the few simple truths of Physics. To the man who understands these, very many phenomena, which, to the uninformed, appear prodigies, are only beautiful illustrations of his fundamental knowledge, and this he carries about with him, not as an oppressive weight, but as a charm supporting the weight of other knowledge, and enabling him to add to his valuable store every new fact of importance which may offer itself. With such a principle of arrangement, his information, instead of resembling loose stones or rubbish thrown together in confusion, becomes as a noble edifice, of correct proportions and firm contexture, and is acquiring greater strength and consistency with the experience of every day. It has been a common prejudice, that persons thus instructed in general laws, had their attention too much divided, and could know nothing perfectly. But the very reverse is true; for general knowledge renders all particular knowledge more clear and precise. The ignorant man may be said to have charged his hundred books of knowledge, to use a rude simile, with single objects, while the informed man makes each support a long chain, to which thousands of kindred and useful things are attached. The laws of Philosophy may be compared to keys which give admission to the most delightful gardens that fancy can picture; or to a magic power, which unveils the face of the universe, and discloses endless charms of which ignorance never dreams. The informed man, in the world, may be said to be always sur Xiv INTRODUCTION. rounded by what is known and friendly to him, while the ignorant man is as one in a land of strangers and enemies. A man reading a thousand volumes of ordinary books as agreeable pastime, will receive only vague impressions; but he who studies the methodized Book' of Nature, converts the great universe into a simple and sublime history, which tells of God, and may worthily occupy his attention to the end of his days. We have said already, that the laws of Physics govern the great natural phenomena of Astronomy, the tides, winds, currents, &c. We will now mention some of the artificial purposes to which man's ingenuity has made the same laws subservient. Nearly all that the civil engineer accomplishes, ranges under the head of Physics. Let us take, for instance, the admirable specimens scattered over the British Isles:-the numerous canals for inland traffic; the dock to receive the riches of the world, pouring towards us from every quarter; the many harbours offering safe retreat to the storm-driven mariner; the magnificent bridges which every where facilitate intercourse; hills bored through to open ways for commerce by canals, common roads and rail-roads, the canals in some places being supported, like the roads, on arches across valleys or above rivers, so that here and there the singular phenomenon is seen of one vessel sailing directly over another; vast tracts of swamps or fen-land drained and now serving for agriculture; the noble light-house, rearing its head amidst the storm, while the dweller within trims his lamp in safety, and guides his endangered fellow-creature through the perils of the night, &c., &c. In Holland, great part of the country has been won and is now preserved from the sea, by the same almost creating power, and now rich cities and an extended garden smile, where, as related by Caesar, were formerly only bogs and a dreary waste. As a general picture, it is interesting to consider, that in many situations on earth where formerly the rude savage beheld the cataract falling among the rocks, and the wind bending the trees of the forest, and sweeping the clouds along the mountain's brow, or whitening the face of the ocean, and regarding these phenomena with awe and terror, as marking the agency of some great but hidden power, which might destroy him; in the same situations now, his informed son, who works with the laws of nature, can lead the waters of the cataract, by sloping channels, to convenient spots, where they are made to turn his mill-wheel, and to do his multifarious work; the rushing winds, also, he makes his servant, by rearing in their course the broad-vaned wind-mill, which then performs a thousand offices for its master, man; and the breezes which whiten the ocean are caught in his expanded sails, and are made to waft their lord and his treasures across the deep, for his pleasure or his profit. In Architecture, also, Physics in supreme, and has directed the construction of the temples, pyramids; domes and palaces which adorn the earth. In respect to machinery, generally, Physics is the guiding light. There are, for instance, the mighty steam-engine; machines for spinning and weaving, and for moulding other bodies into various shapes, yea, even iron itself, as if it were plastic clay; wind-mills and water-mills, and wheel carriages; the plough and implements of husbandry; artillery and the furniture of war; the balloon, in which man rides triumphantly above the clouds, and the diving-bell, in which he penetrates the secret caverns of the deep; the implements of the intellectual arts, of printing, drawing, painting, sculpture, &c.; musical instruments, optical and mathematical instruments, and a thousand others. INTRODUCTION. XV But Physics is also an important foundation of the healing art. The medical man, indeed, is the engineer pre-eminently; for it is in the animal body that true perfection and the greatest variety of mechanism are found. Where, to illustrate Mechanics, is to be found a system of levers and hinges, and moving parts, like the limbs of an animal body; where such an hydraulic apparatus, as in the heart and blood-vessels; such a pneumatic apparatus, as in the breathing chest; such acoustic instruments, as in the ear and larynx; such an optical instrument, as in the eye; in a word, such variety and perfection, as in the whole of the visible anatomy? All these structures, then, the medical man should understand, as the watchmaker knows the parts of a time-piece about which he is employed. The watchmaker, unless he can discover where a pin is loose, or a wheel injured, or a particle of dust adhering, or oil wanting, &c., would ill succeed in repairing an injury; and so, also, of the ignorant medical man in respect to the human body. Yet will it be believed, that there are many medical men who neither understand mechanics, nor hydraulics, nor pneumatics, nor optics, nor acoustics, beyond the merest routine; and that systems of medical education are set forth at this day which do not even mention the department of Physics! That such is the case, furnishes an illustration of what is stated in the beginning of this essay, viz., that the sciences and arts are progressive, and that perfect methods of education must arise gradually, like all other things of human contrivance. It is within the recollection of persons now living, that political economy was discovered to be a grand foundation of the art of government, indicating means of security against many national misfortunes common in former times, yda, even against famine and war. And the day is not distant, when the members of the medical profession generally will understand how much the correct knowledge of animal structure and function, and of many remedies, must depend on precise acquaintance with Physics. —Besides the more strictly professional matters contained in the medical sections of the present work, there are many others scattered through it which greatly interest the medical man; such are the subjects of meteorology, climate, ventilation and warming of dwellings, specific gravities, &c., &c. The laws of Physics having an influence so extensive as appears from these paragraphs, it need not excite surprise that all classes of society are at last discovering the deep interest they have to understand them. The lawyer finds that in many of the causes tried in his courts, an appeal must be made to Physics,-as in cases of disputed inventions; accidents in navigation, or among carriages, steam-engines, and machines generally; questions arising out of the agency of winds, rains, water-currents, &c.: the statesman is constantly listening to discussions respecting bridges, roads, canals, docks, and the mechanical industry of the nation: the clergyman finds ranged among the beauties of nature, the most intelligible and striking proof of God's wisdom and goodness; the sailor in his ship has to deal with one of the most admirable machines in existence: soldiers, in using their projectiles, in marching where rivers are to be crossed, woods to be cut down, roads to be made, towns to be besieged, &c., are dependent chiefly on their knowledge of Physics: the land-owner, in making improvements on his estates, building, draining, irrigating, road-making, &c.: the farmer equally in these particulars, and in all the machinery of agriculture; the manufacturer, of course; the merchant who selects and distributes over the world the products of manufacturing industry-all these are interested in Physics; then also the man of letters, that he may not, in drawing his illustrations from the material xvi INTRODUCTION. world, repeat the scientific heresies and absurdities which have heretofore prevailed, and which, by shocking the now better-informed public, exceedingly lower the estimation in which such specimens of the Belles Lettres are held, and lessen their general utility; and lastly, parents of either sex, whose conversation and example have such powerful effect on the character of their children, who when grown up, are to fill all the stations in society; all should study Physics, as one important part of their education. And it is for such reasons that Natural Philosophy is becoming daily more and more a part of common education. In our cities now, and even in an ordinary dwelling-house, men are surrounded by prodigies of mechanic art, and cannot submit to use these, regardless of how they are produced, as a horse is regardless of how the corn falls into his manger. A general diffusion of knowledge, owing greatly to the increased commercial intercourse of nations, and therefore to the improvements in the physical departments of astronomy, navigation, &c.. is changing every where the condition of man, and elevating the human character in all ranks of society. In remote times the inhabitants of the earth were generally divided into small states or societies, which had few relations of amity among themselves, and whose thoughts and interests were confined very much within their own little territories and rude habits. In succeeding ages, men found themselves belonging to larger communities, as where the English heptarchy was united; but still distant kingdoms and quarters of the world were of no interest to them, and were often totally unknown. Now, however, every one feels that he is a member of one vast civilized society, which covers the face of the earth; and no part of the earth is indifferent to him. In England, for instance, a man of small fortune may cast his looks around him, and say with truth and exultation, "' I am lodged in a house which affords me conveniences and comforts which some centuries ago, even a king could not command. Ships are crossing the seas in every direction, to bring me what is useful to me from all parts of the earth. In China, men are gathering the tea-leaf for me; in America, they are planting cotton for me; in the West Indies, they are preparing my sugar and my coffee; in Italy, they are feeding silk-worms for me; in Saxony, they. are shearing the sheep to make me clothing; at home, powerful steam-engines are spinning and weaving for me, and making cutlery for me, and pumping.the mines that minerals useful to me may be procured. Although my patrimony was small, I have post-coaches running day and night on all the roads to carry my correspondence; I have roads and canals, and bridges, to bear the coal for my winter fire; nay, I have protecting fleets and armies around my happy country, to secure my enjoyments and repose. Then I have editors and printers, who daily send me an account of what is going on throughout the world, among all these people who serve me. And in a corner of my house I have BooKS! the miracle of all my possessions, more wonderful than the wishing-cap of the Arabian Tales: for they trans. port me instantly, not only to all places, but to all times. By my books I can conjure up before me, into vivid existence, all the great and good men of antiquity; and for my individual satisfaction I can make them act over again the most renowned of their exploits, the orators declaim for me; the historians recite; the poets sing; and from the equator to the pole, or from the beginning of time until now, by my books, I can be where I please." This picture is not overcharged, and might be much extended, such being God's goodness and providence, that each individual of the civilized millions dwelling on the earth, may have nearly the same enjoyment as if he were the single lord of all. INTRODUCTION. Xvi; Reverting to the importance of Natural Philosophy as a general study, it may be remarked that there is no occupation which so much strengthens and quickens the judgment. This pra;se has usually been bestowed on the Mathematics, although a knowledge of abstract Mathematics existed with all the absurdities of the dark ages; but a familiarity with Natural Philosophy which comprehends Mathematics, and gives tangible and pleasing illustrations of the abstract truths, seems incompatible with the admission of any gross absurdity. A man whose mental faculties have been sharpened by acquaintance with these exact sciences in their combination, and who has been engaged, therefore, in contemplating real relations, is more likely to discover truth in other questions, and can better defend himself against sophistry of every kind. We cannot have clearer evidence of this than in the history of the sciences, since the Baconian method of reasoning by indication took place of the visionary hypotheses of preceding times. Until then, even powerful minds did not recoil from the most absurd theories on all subjects. Astronomy was mixed with Astrology; Chemistry with Alchemy; Physiology with the singular hypotheses which preceded the discovery of the circulation of the blood; Politics with the errors of monopolies, prohibitions, balance of trade, &c. Even Religion itself, in various ages and countries, has felt the influence of the state of the public mind as to solid attainments. To a man with the knowledge of nature which we now possess, the fables and licentious abominations of the Greek and Roman theologies are shocking indeed; as are the religions of the God of Fire in China, of Vishnoo in India, of Mahomet's imposture and pretended miracles, &c. But the enlightened Christian minister earnestly recommends the study of nature; first because from contemplating the beauty of creation, with the wisdom and benevolent design manifest in all its parts, there spring up in every undepraved mind those feelings of admiration and gratitude, which constitute the adoration of natural religion, and which form, as shown by many estimable writers on Natural Theology, a fit foundation for the sublime doctrine of immortality, and secondly, because a Revelation being probable only by the miracles occurring at its establishment; to enable men to distinguish between miracles and the usual course of nature, a perfect knowledge of that course, or of Natural Philosophy, is essential: all the false religions of antiquity were founded on, and upheld by pretended miracles. As regards the question of immortality, even independently of Revelation, no man who contemplates the order and beauty of the material world, and then thinks on the hideous deformities of the moral world-where vice so often triumphs, and modest virtue pines and dies-can for a moment believe that they are the work of the same author, unless there be a hereafter of retribution; and feeling thus that eternal justice requires another state for man, he embraces with delight the cheering promises of immortality. There have been, however, at various times, even among Christians, sincere, but weak-minded or ill-informed men, who decried the study of the natural sciences, as inimical to true religion; as if God's ever-visible and magnificent revelation of his attributes in the structure of the universe could be at variance with any other revelation. But such prejudices are now quickly passing away. Wherever considerable knowledge of nature exists, debasing and gloomy superstition must cease. It is not the abject terror of a slave which is inspired by contemplating the majesty and power of our God, displayed in his works, but a sentiment akin to the tender regard which leads a favored child to approach with confidence a wise and indulgent parent. It remains for the author now only to say a few words with respect to the 2 Xviii INTRODUCTION. present work. He was originally led to the undertaking with the view of supplying the desideratum in medical literature, of a treatise on Medical Physics; but soon perceiving that the preliminary investigation of General Physics, necessary to adapt the work to medical readers, would require to be nearly as extensive as it would for general readers, and reflecting that every person of liberal education must now possess such a book, not to be read once and then thrown aside as a novel is, but to be frequency consulted as a manual, he determined to make his book as complete and as extensively useful as possible. He has been encouraged during his labor, by the belief that the growing light of science, which now exhibits more clearly the natural relations of the different departments of study, as attempted to be portrayed in the preceding pages, might enable him to avoid some of the defects of former elementary treatises, and to add features of novelty and improvement to his own. The sections on Animal Physics were, of course, written for medical men; and a great service will be rendered by the work, if it only awakens them to a just sense of the importance of Physics as one of the foundations of their art. But even for general readers there are few parts of these sections which the author would exclude. There is nothing more admirable in nature than the structure and functions of the human body, and there are many reasons why no liberal mind should be careless of the study. The details here given are not more anatomical than the illustrations from the animal economy contained in the common treatises on Natural Theology. From the attempt in this work to compress into the smallest possible space the greatest possible sum of scientific information, few historical details have been adjmitted, whether relating to the distinguished men who have benefitted the world as authors or inventors, or to the history of the progress of science: —such details form an interesting, but distinct branch of study. The author must not conclude without observing, that no treatise on Natural Philosophy can save, to a person desiring full information on the subject, the necessity of attendance on experimental lectures or demonstrations. Things'that are seen, and felt, and heard, that is, which operate on the external senses, leave on the memory much stronger and more correct impressions than where the conceptions are produced merely by verbal description, however vivid. And no man has ever been remarkable for his knowledge of Physics, Chemistry, or Physiology, who has not had practical familiarity with the objects. With reference to this familiarity, persons who take a philanthropic interest in the affairs of the world, must observe, with much pleasure the now daily increasing facilities of acquiring useful knowledge, afforded by the scientific institutions formed and forming, not only through this kingdom, but through most civilized nations. Bedford Square, 1st March, 1827. ELEMENTS OF NATURAL PHILOSOPHY. SYNOPSIS, OR GENERAL REVIEW. IF it excite our admiration that a varied edifice, or even a magnificent city can be constructed of stone from one quarry, what must our feeling be to learn how few and simple the elements are out of which the sublime fabric of the universe, with all its orders of phenomena, has arisen, and is now sustained. These elements are general facts and laws which human sagacity is able to detect, and then to apply to endless purposes of human advantage. Now the'four words, atom, attraction, repulsion, inertia, point to four general truths, which explain the greater part of the phenomena of nature. Being so general, they are called physical truths, from the Greek word signifying nature as also "truths of Natural Philosophy," with the same meaning, and sometimes "mechanical truths," from their close relation to ordinary machinery. These appellations distinguish them from the remaining general truths, namely the chemical truths, which regard particular substances, and the vital and mental truths, which have relation only to living beings. And even in the cases where a chemical or vital influence operates, it modifies, but does not destroy, the physical influence. By fixing the attention, then, on these four fundamental truths, the student obtains, as it were, so many keys to unlock, and lights to illuminate, the secrets and treasures of nature. 1st. ATOM. Every material mass in nature is divisible into very minute indestructible and unchangeable particles,-as when a piece of any metal is bruised, broken, cut, dissolved, or otherwise transformed, a thousand times, but can always be exhibited again as perfect as at first. This truth is conveniently recalled by giving to the particles the name atom, which is a Greek term, signifying that which cannot befturther cut or divided, or an exceeding minute resisting particle. 2d. ATTRACTION. It is found that the atoms above referred to, whether separate or already joined into masses, tend towards all other atoms or masses, —as when the atoms of which any mass is composed are, by an invisible influence, held together with a certain degree of force; or when a block of stone is similarly held down to the earth on which it lies; or when the tides on the earth rise towards the moon. These facts are conveniently 20 SYNOPSIS. recalled by connecting with them the word Attraction (a drawing together) or gravitation. 3d. REPULSION. Atoms under certain circumstances, as of heat diffused among them, have their mutual attraction countervailed or resisted, and they tend to separate;-as when ice heated melts into water, or when water heated bursts into steam, or when gunpowder ignited explodes. Such facts are conveniently recalled by the term Repulsion (a thrusting asunder.) 4th. INERTIA. As a fly-wheel made to revolve, at first offers resistance to the force moving it, but gradually acquires speed proportioned to that force, and then resists, being again stopped, in proportion to its speed, so all bodies or atoms in the universe have about them, in regard to motion, what may be figuratively called a stubborness, tending to keep them, in their existing state, whatever it may be-in other words, they neither acquire motion, nor lose motion, nor bend their course in motion, but in exact proportion to some force applied. Many of the motions now going on in the universe with such regularity-as that turning of the earth which produces the phenomena of day and night-are motions which began thousands of years ago, and continue unvarying in this way. Such facts are conveniently recalled by the term inertia applied to them. A person comprehending fully the import of these four words, that is to say, having present to his mind numerous good types or exemplars of the facts referred to them, may predict or anticipate correctly, and may control very many of the facts and phenomena which the extended experience of a life can display to him; and such a person is commonly said to know the causes or reasons of things and events. Now it is important here to observe, that when a person gives a reason or explanation of any fact, other than that it is a fact, or than that the Creator has willed it, he is merely, although he may not be aware of this, showing its resemblance to many other facts, no one of which he understands better than itself-and what he calls a general truth, or law, or principle, is merely an expression for the observed but unaccountable resemblance of the facts. Thus, when a man says that a stone falls because of attraction or gravitation, he only uses a word which recalls thousands of instances which he has witnessed of one body approaching another; but by any cause of the approach, other than that God has willed it, is to him utterly unknown. Should men, in the course of their researches, discover that the phenomena now classed by them under the heads of attraction and repulsion, although apparently opposite, are really as closely allied as they already know the rising of a balloon and the falling of a stone td be (the balloon rises like a cork in water, being pushed up by the fluid air around it, heavier than it, and seeking to descend,) they will not have discovered a new cause, but a new resemblance, (new to them) among phenomena, and will only have advanced one step farther in perceiving the simplicity of creation. In accordance with these views, it will be found that this volume is chiefly an extensive display of the most important phenomena of nature and art, classified so as to be explained by the'our physical truths, and mutually to illustrate one another. They will be Distributed under the following heads or divisions: SYNOPSIS. 21 PART I. CONSTITUTION OF MASSES, MOTIONS AND FORCES. The four fundamental truths extensively examined, and used to explin generally, in Section 1. The nature or constitution of the material masses which compose the universe; (a department technically called SOMATOLOGY, from Greek words signifying a discourse on body.) 2. The motions or phenomena going on among the masses; —a department including the common divisions of STATICS (things stationary or at rest,) and DYNAMICS (what relates to force or power.) PART II. PHENOMENA OF SOLIDS. The four truths explaining the peculiarities of state and motion among solid bodies:-a department called, in a restricted sense, MECHANICS, (from the Greek, and signifying machine.) PART III. PHENOMENA OF FLUIDS. The truths explaining the peculiarities of state and motion among fluid bodies: —a department called HYDRODYNAMICS (from Greek words signifying water and force.) Section 1. HYDROSTATICS (water at rest or in equilibrium.) 2. PNEUMATICS (air phenomena.) 3. HYDRAULICS (water or fluid in motion.) 4. ACOUSTICS (phenomena of sound and hearing.) PART IV. PHENOMENA OF IMPONDERABLE SUBSTANCES. The truths aiding to explain the more recondite phenomena of IMPONDERABLE SUBSTANCES, under the heads of Section 1. HEAT or Caloric. 2. LIGHT or Optics. PART V. ANIMAL AND MEDICAL PHYSICS. In this part will be ranged the most interesting illustrations afforded by the animal economy, constituting-ANIMAL AND MEDICAL PHYSICS. As no man can well understand a subject of which he does not carry a distinct outline in his mind, it is recommended to the reader of this work to study the general synopsis, and the analysis placed at the heads of the chapters and sections, until the memory be well impressed with them. 22 CONSTITUTION OF MASSES. PART I. TiE FOUR FUNDAMENTAL TRUTHS MINUTELY EXAMINED, AND USED TO EXPLAIN GENERALLY, FIRST, THE NATURE OR CONSTITUTION OF THE MATERIAL MASSES WHICH COMPOSE THE UNIVERSE, AND SECONDLY, THE MOTIONS OR PHENOMENA GOING ON AMONG THEM. SECTION I.-THE CONSTITUTION OF MASSES. ANALYSIS OF THE SECTION. The visible universe is built up of very minute indistructible ATOMS called matter, which by mutual ATTRACTION, cohere or cling together in masses of various form and magnitude. The atoms are more or less approximated, according to the quantity or REPULSION of heat among them, and hence arise the three remarkable forms in the masses, of solid, liquid and air, which mutuiilly change into each other with change in the quantity of heat. Certain modifications of attraction and repulsion produce the subordinate peculiarities of state called crystal, dense, hard, elastic, brittle, malleable, ductile and tenacious. " Minute Indestructible ATOMS."* THAT the smallest portion of any substance which the human eye can perceive, is still a mass of many ultimate atoms or particles, which may be separated from each other, or newly arranged, but which cannot individually be hurt or destroyed, is deduced from such facts as the following: A particle of powdered marble, hardly visible to the naked eye, still appears to the microscope a block susceptible of indefinite division; and, when it is broken by fit instruments, until the microscope can hardly discover the separate particles of fine powder, these may be yet further divided, by solution in an acid; the whole becoming then absolutely invisible, as part of a transparent liquid. A small mass of gold may be hammered into thin leaf, or drawn into fine wire, or cut into almost invisible parts, or liquefied in a crucible, or disolved in an acid, or dissipated by intense heat into vapour; yet, after any and all these changes. the atoms can be collected again to form the original mass of gold, without the slightest diminution or change. And all the substance of * The different heads or titles, which appear thus, throughout the work, between inverted commas, are the successive portions of the Analysis, detached for separate consideration. The reader is particularly requested to re-peruse the analysis at the several interruptions, that he may have constantly before him that clear view of the general relations among the different parts of the subject, which is essentially to a perfect understanding of it. CONSTITUTION OF MASSES. 23 elements of which our globe is composed, may thus be cut, torn, bruised, ground, &c., a thousand and a thousand times, but are always recoverable as perfect as at first. And with respect to delicate combinations of these elements, such as exist in animal and vegetable bodies, although it be beyond human art, originally to produce, or even closely to imitate many of them-for we cannot build up a feather or a rose-still, in their decomposition and apparent destruction, the accomplished chemist of the present day does not lose a single atom. The coal which burns in his apparatus, until only a little ash remains behind, or the wax-taper that seems to vanish altogether in flame, or the portion of animal flesh which putrefies, and gradually dries up and disappears-present to us phenomena which are now proved to be only changes of connection and arrangement among the indestructible ultimate atoms; and the chemist can offer all the elements again, mixed or separate as desired, for any of the useful purposes to which they are severally applicable. When the funeral piles of the ancients, with their charge of human remains, appeared to be wholly consumed, and left the idea with survivors that no base use could be made, in after time, of what had been the material dwelling of a noble or beloved spirit, the flames had only, as it were, scattered the enduring blocks of which a former edifice had been constructed, but which were soon to serve again in new combinations. Facts to be stated under the heads of " chemical composition" and " crystal," will prove, that the ultimate particles of any substance must be, among themselves, perfectly similar. "Minute." (Read the Analysis, page 22.) The following are interesting particulars in the arts or in nature, helping the mind to conceive how minute the ultimate atoms of matter must be. Goldbeaters, by hammering, reduce gold to leaves so thin, that 360,000 must be laid upon one another to produce the thickness of an inch. They are so thin, that if formed into a book, 1,800 would occupy only the space of a single leaf of common paper; and an octavo volume an inch thick would have as many pages as the books of a well-stocked ordinary library containing 1,800 volumes of 400 pages each; yet those leaves are perfect, or free from holes, so that one of them laid upon any surface, as in gilding, gives the appearance of solid gold. Still thinner than this is the coating of gold, upon the silver wire of what is called gold lace; and we know not that such coating is of only one atom thick. If we place a piece of this wire in nitric acid, so as to dissolve the silver within, the gold coating remains as a metallic tube of exquisite tenuity. Platinum can be drawn into wire much finer than human hair. A grain of blue vitriol or carmine, will tinge a gallon of water, so that in every drop the colour may be perceived. A grain of musk will scent a room for twenty years, and will have lost but little of its weight. The carrion crow seems to smell its food at a distance of many miles. The thread of the silk worm is so small, that many folds have to be twisted together to form our finest sewing thread; but that of the spider is smaller still, for two drachms of it by weight would reach from London to Edinburgh, or 400 miles. In the milk of a cod-fish, or in water in which certain vegetables have 24 CONSTITUTION OF MASSES. been infused, the microscope discovers animalcules, of which many thousands together do not equal in bulk a grain of sand; yet these have their blood and other subordinate parts like larger animals; and, indeed, nature, with a singular prodigality, has supplied many of them with organs as complex as those of the whale or elephant. Now the body of an animalcule consists of the same elementary substances, or ultimate atoms, as the body of man himself. In a single pound of matter, it thus appears, that there may be more living creatures than of human beings on the face of this globe, What scenes has the microscope laid open to the admiration of the philosophic inquirer. Water, mercury, sulphur, or, in general, any substance, when sufficiently heated, rises as invisible vapour or gas; in other words, is made to assume the aeriform state. Great heat, therefore, would cause the whole of the material universe to disappear, the previously most solid bodies becoming as invisible and impalpable as the air we breathe. Utter annihilation would seem but one stage beyond this. J laxtter." The inconceivable minuteness of ultimate atoms, as shown above, has led some inquirers to doubt whether there really be matter; that is to say, whether what we call substance or matter have existence or not. In answer to this it has been usual to adduce, besides the weights of the substances, and the proofs of indestructibility already mentioned, which seems conclusive, the fact that every kind or portion of matter obstinately occupies some space to the exclusion of all other matter from that particular space. This occupancy of space is the simplest and most complete idea which we have of material existence. The awkward word impenetrability has been used to express it, with reference of course to the individual atoms. The following are elucidations: We cannot push one billiard-ball into the substance of another, and then a second, and then a third, and so on; or the material of the universe might be absorbed in a point. A mass of iron on a support will resist the weight of thousands of pounds laid upon it and pressing to descend into its place; and although a very great weight might crush or break it into pieces, still one particle would not be annihilated. In a forcing pump, or in Braham's water-press, millions of pounds can not push the piston down, unless the water below it be allowed to escape. A weight laid upon bladders full of air, or on the piston handle of a closed air-pump, is supported in the same manner. A quantity of air escaping from a vessel under water ascends through the water as a bubble displacing its bulk of water in its way. A glass tube, left open at bottom, while the thumb closes the top, if pressed from air into water, is not filled with water, because the air contained in it resists; but if the air be allowed to escape by removing the thumb from the top, the tube becomes filled immediately to the level of the water around it. In a goblet or basin pushed into water, with the mouth downwards, the entrance of water is resisted for the like reason; and if the goblet be inverted over a floating lighted taper, this will continue to float under it, and to burn in the contained air, however deep in the water it may be carried-exhibiting the curious phenomenon of light below water, and being an emblem of the living inmate of a diving bell, which is merely a larger goblet holding a man instead of a candle. GENERAL ATTRACTION. 25 "Mutual attraction." (See the Analysis, page 22.) Any visible mass of matter, then, as of metal, salt, sulphur, &c., we know to be really a collection of dust, or minute atoms, by some cause made to cohere or cling together; yet there are no hooks connecting them, nor nails, nor glIb; and the connection may be broken a thousand times, by processes of nature or art, but is always ready to take place again; the cause being no more destroyed in any case by interruption, than the weight of a thing is destroyed by frequent lifting from thWe ground. Now the cause we know not, but we call it attraction. The phenomena of attraction and its contrary, repulsion, particularly when occurring between bodies at considerable distances from each other, are as inexplicable as any subjects which the human mind has to contemplate; but the manner or laws of the phenomena are now well understood. The general nature and extensive influence. of attraction may be judged of from the following facts: Logs of wood floating in a pond, or ships in calm water, approach each other, and afterwards remain in contact. When the floating bodies are very small, or can approach very near to each other at the water's edge-as glass bulbs in a tea-cup-an additional force is called into play, as will be explained under the head of "capillary attraction." The wreck of a ship, in a smooth sea after a storm, is often seen gathered into heaps. Two bullets or plummets suspended by strings near to each other, are found by the delicate test of the torsion balance (which will be described afterwards) to attract each other, and therefore not to hang quite perpendicularly.' v A plummet suspended near the side of a mountain inclines towards it, in a degree proportioned to its magnitude; as was ascertained by the w.ellknown trials of Dr. Maskelyne near the mountain Schehallion, in Scotland. And the reason why the plummet in such a case tends much more strongly towards the earth than towards the hill, is only that the earth is larger than the hill At New South Wales, which is situated on our globe nearly opposite to England, plummets hang and fall towards the centre of the globe, as they do here; so that in respect to England, they are hanging and falling upwards, and the people there, like flies on the opposite side of a pane of glass, are standing with their feet towards us,-hence called our antipodes. Weight, therefore, is merely general attraction acting everywhere. But it is owing to this general attraction that our earth itself is a globe: — all its parts being drawn towards each other, that is, towards a common centre, the mass assumes the spherical or rounded form. And the moon also is round, and all the planets; nay, the glorious sun, too, so much larger than these, is round; —suggesting the inference that all must at one time have been a certain degree fluid, and that all are subject to the same law. Descending again to the earth and observing minuter masses, we have many interesting instances of roundness from the same cause; as-the particles of a mist or fog floating in air-these, mutually attracting and coalescing into larger drops, and so forming rain-dew-drops-water trickling on a duck's wing-the tear dropping from the cheek-drops of laudanum-globules of mercury, like pure silver beads, coalescing when near, and forming larger ones-melted lead allowed to rain down from an elevated sieve, and by 26 CONSTITUTION OF MASSES. cooling as it descends so as to retain the form of its liquid drops, becoming the spherical shot-lead of the sportsman, &c. The cause of this extraordinary phenomenon which we call attraction, acts at all distances.-The moon, though 240,000 miles from the earth, by her attraction, raises the water of our ocean under her. and forms what we call the tide.-The sun, still farther off, has a similar influence; and when the sun and moon act in the same direction, we have the sprint tides. —The planets, so distant that they appear to us little wandering points in the heavens, yet, by their attraction, affect the motion of our earth in her orbit, quickening it when she is aptproaching them, retarding it when she is receding. The attraction is greater the nearer the bodies are to each other; as the light of a taper is more intense near to the taper than at a distance. A board of a foot square, represented in fig. 1 by A B at a certain distance from a light supposed at C, just shadows a board of two feet square, as E D, at double distance; but a board with a side of two feet has, four times as much surface -as a board with a side of one foot, for it is not only twice as high or long, which would make it double, but twice as broad also, which Fig. 1. E -.4 makes it quadruple-as a globe of two feet in diameter requires just four times as much paper to cover it as a globe of one foot,-and the corner, or fourth part E F, of the larger square here shown is just equal to the whole of the smaller square A B. Light, therefore, at double distance from its source, being spread over four times the space, has only one-fourth of the intensity; and for a similar reason, at thrice the distance it has only a ninth part, at four times a sixteenth part, and so on. Now light, heat, attraction, sound, and indeed every influence from a central point are found to decrease in the proportion here illustrated, viz., as the surface of squares which shadow one another increases. The technical expression is, "the intensity is inversely as the squares of the distance; (the distances being estimated from the centres of attraction or radiation) or one-fourth part as strong at double,distance, four times as strong at half distance, and in a corresponding manner for all other distances. Accordingly, what weighs 1,000 lbs. at the sea-shore, weighs five lbs. less at the top of a mountain of a certain height, or when raised in a balloon-as is proved experimentally by a spring balance, or other means; —and at the distance of the moon, the weight, or force towards the earth, of 1,000 lbs., is diminished to five ounces, as is proved by astronomical test. ATTRACTION has received different names as it is found acting under different circumstances. The chief distinctions are Gravitation, Cohesion, Capillary and Chemical attraction. Gravitation is the name given to it when acting at sensible distance, as in the cases of the moon lifting the tides-the sun and earth attracting each COHESIVE ATTRACTION. 27 other-a stone falling, &c. Most of the facts enumerated at page 25, belong to this head. Cohesion is the name given when it is acting at very short distances, as in keeping the atoms of a mass together. It might appear, at first sight, that it cannot be the same cause which draws a piece of iron to the earth with the moderate force called its weight, and which contains the constituent atoms of the iron in such strong cohesion; but when we recollect that attraction is stronger as the substances are nearer to each other, the difficulty is met. Atoms very nearly in contact may be a million times nearer to each other than when only a quarter of an inch apart, aud therefore, when thfe heat among the atoms of any mass allows them to approach very near, they should attract mutually with great force. If, then, the surfaces of the bodies were not in general so very rough and irregular, that, when applied to each other, they can touch only in a few points of the million, perhaps, which each surface contains, bodies would be invariably sticking together or cobering by any accidental contact. The effect of artificially smoothing the touching surfaces is seen in the following examples:-we may remark, however, that besides irregularity of surface, there is another reason, explained a little farther on, which prevents the cohesion. Similar portions being cut off with a clean knife from two leaden bullets, and the fresh surfaces being brought in contact with a slight turning pressure, the bullets cohere, almost as if they had been originally cast in one piece. Fresh-cut surfaces of India-rubber or caoutchouc, cohere in a similar way. We may hence make elastic air-tight tubes, by cutting off the edges of a strip of India-rubber and bringing the cut surfaces into contact by wirlding the strip spirally round any small rod or cylinder, and fixing it there for a time by tape or cord. Two pieces of perfectly smooth plate glass or marble, laid upon each other, adhere with great force: and so, indeed, do most well-polished fiat surfaces. Cohesion between a solid and liquid, and between the particles of a liquid among themselves, is seen in the following instances: A flat piece of glass, balanced at the end of a weighing beam, and then allowed to come into contact with water, adheres to the water, and with much more force than the weight of water remaining upon it when again forcibly raised! If there were not cohesion or attraction of the water particles among themselves, as well as to the glass, the latter could only be held down by the weight of the water which directly adhered to it. In pouring water from a mug or bottle-lip, the water does not at once fall perpendicular, but runs down along the inclined outside of the vessel; chiefly in consequence of the attraction between this and the water; hence the difficulty of pouring from a vessel which has not a projecting lip. The particles of water cohere among themselves in a degree which causes small needles gently laid on the surface to float: —the weight of the needles is not sufficient to overcome the cohesion of the water surface. For the same reason, many light insects can walk upon the surface of water without being wetted. It is chiefly the different force of the attraction of cohesion in different 28 CONSTITUTION OF MASSES. liquids that causes their drops or gutts from the lip of a phial to be of different magnitude. Sixty drops of water fill the same measure as 100 drops of laudanum from a lip of the same size. In a larger mass of liquid, the attraction which, if acting alone, would draw the particles into the form of a distinct globe, yields to that which draws them towards the centre of the earth, and therefore the liquid assumes more or less completely, what is called the level surface, that is to say, a surface corresponding with the general surface of the earth. Attraction is called capillary when it acts between a liquid and the interior of a solid, which is tubular or porous. When an open glass tube is partially immersed in water, the water within it stands above the level of that on the outside; and the difference of level is greater as the tube is less, because in small tubes, the glass all round being nearer to the raised water, attracts it more powerfully. Between the two plates of glass standing near to each other, with their lower edges in water, a similar rising pf water will occur; and if they are closer at one perpendicular edge than at the other, the surface of the suspended water will be higher there. The two plates of glass in such a case are found to be drawn towards each other by the interposed waters with a certain force, as happens also to glass beads, or other small bodies, floating in water with their surfaces so near to each other at the water's edge, that the water may rise between them,-and the nearer they approach, the higher the water rises, and the more strongly it attracts. Water, ink, or oil, coming in contact with the edge of a book, is rapidly absorbed far inwards among the leaves. A piece of sponge or a lump of sugar touching water by its lowest corner, soonsbecomnes moistened throughout. The wick of a lamp lifts the oil to supply the flame, from two or three inches below it. A mass of cotton thread hanging over the edge of a glass from the water within it, will empty it as a syphon would. A towel will empty a basin of water in the same way. Dry wedges of wood driven into a groove formed round a pillar of stone, on being moistened, will swell so as to rive off the portion from the block. In some portions of Germany, mill-stones are thus cut from the rock. An immense weight or mass suspended by a dry rope may be raised a little way, by merely wetting the rope;-the moisture imbibed by capillary attraction in the substance of the rope causes it to swell laterally, and to become shorter. At one time, the small vessels of vegetables were supposed to raise the sap from the roots, by capillary attraction; but this is known now to be chiefly an action of vegetable life. Attraction has received the name of chemical attraction, or affinity, when it unites the atoms of two or more distinct substances into one perfect compound. There are about fifty substances in nature which appear, in the present state of science, distinct from each other, and are therefore called kinds of matter; such as the various metals, sulphur, phosphorus, &c.; but whether these are in truth, originally and essentially different, or only one simple CAPILLARY ATTRACTION. 29 primordial matter, modified by circumstances as yet unknown to us, we cannot at present positively determine. Diamond and pure black carbon are the same substance only with different arrangement of atoms; and steel, which in the soft state the graver cuts as it would copper or silver, is exactly the same substance as when, after being tempered by heating and sudden cooling, it has become as hard nearly as diamond itself. Yet these differences are more striking than appear between some substances, which we now account essentially distinct. It is found, however, that the atoms of what we call different substances will not cohere and unite indifferently, to form masses, as atoms of the same kind do,-there being singular preferences and dislikes among them, if it may be so expressed,'or affinities, as the chemists term it: and when atoms of two kinds do combine, the resulting compound generally loses all resemblance to either of the elements.-Thus: Sulphuric acid will unite with copper and form a beautiful transcendent blue salt; with iron it will form a green salt; and if a piece of iron be thrown into a solution of the copper salt, the acid will immediately let fall the copper, and take up or dissolve the iron.-Sulphuric acid will not unite with or dissolve gold at all.-Quicksilver and sulphur unite in certain proportions and form the paint called vermillion; in other proportions they form the black mass called Ethiops Mineral —Lead, with oxygen absorbed from the atmosphere or other source, forhLs what is called red lead, used by painters. -Sea-sand, or flint and the substance called soda, when heated together, unite and form that most useful substance called glass. —Certain proportions of sulphur and of iron combine and produce those beautiful cubes of pyrites or gold-like metal which are seen in slate. Chemical attraction operating thus, does not, in the slightest degree, interfere with general attraction or gravity, for every chemical compound weighs just as much as its elements taken separately. The history and classiication of such facts connected with the combinations and analysis of different substances, constitute the science of chemistry, so attractive and so useful. It explains how the fifty kinds of matter above alluded to, by variously combining, form the endless diversity of bodies which constitute, as far as it has yet been explored, the mass of our globe. The reasons of these various modifications of attraction are yet much hidden from us. It is a remarkable truth, that when different substances combine in the wjy now described, the proportions of the ingredients are always uniform, and such as to lead to the conclusion, that for every atom present, of one substance, there is exactly one, or two, or three, &c., of the other; so that, if there be ten atoms of one substance, there are exactly ten, or twenty, &c., of the other, but never an intermediate number, as 13 or 23 to 10, for then a particle of the compound would consist of one atom of the first, and of one and three-tenths, or two and three-tenths, &c., of the second substance, an absurdity if the atom be indivisible. For instance, a certain number of atoms of quicksilver, which weigh twenty-five grains, combine with a certain number of atoms of sulphur, weighing two grains, and form a black compound called Ethiops Mineral, or black sulphur of mercury; and if a little more of either ingredients be added, it lies as a foreign mixture in the sulphuret of mercury; but if just as much more sulphur be added as at first, so that there may be two atoms of it, instead of one, in every particle of the compound, a perfect combination of the whole will take place, and a new substance will appear, which we call vermilion. Many elementary substances 30 CONSTITUTION OF MASSES. will only unite with each other in one proportion, so that any two such substances form only one compound; but others unite in several proportions, so that several distinct compounds arise out of the same two elements. It thus appears, that although we do not know the exact number of atoms in a given quantity of any substance,-whether, for instance, a grain of sulphuret of mercury has more or less than a million of them; still, as we know that in that grain there are just as many atoms of sulphur as of mercury, and that the weight of thewwhole sulphur to that of the whole mercury is as two to twenty-five, we know that the single atoms must have the same relation, or that the atom of mercury is 12] times as heavy as that of sulphur. Tables have been formed exhibiting the relative weights of the atoms of different substances; and the number standing opposite to each substance is called its chemical equivalent,-that is to say, the weight of its atom in relation to the weight of the atom of some other substance chosen as a standard. The equivalent of a compound substance depends, of course, both on the equivalents of the ingredients, and on the number of atoms existing in one integrant particle of the compound. There is no such thing as an atom of vermilion, or of any other compound, for the ultimate molecule or particle must contain at least one atom of the respective ingredients. The facts of the peculiarities and constalecy of chemical unions are among the strongest arguments for the existence of similar ultimate atoms. Besides the simple cases of attraction now explained, there are two curious modifications, called electrical and magnetical attractions, which from their peculiarities are reserved for consideration in a future division of this work. a Atoms are more or less close, according to the quantity or REPULSION of heat among them; hence the forms of solid, ftuid, air, &c." (Read the Analysis, p. 22.) Were there in the universe only atoms and attraction, as hitherto explained, the whole material of creation would rush into close contact, forming one huge solid mass of stillness and death. But there is also heat or caloric, which counteracts attraction, and singularly modifies the results. It has been described by some as a most subtle fluid, pervading all things, somewhat as water pervades a sponge: others have accounted it merely a vibration among the atoms. The truth is, that we know little more of heat as a cause of repulsion than of gravity as a cause of attraction; but we can study and classify most accurately the phenomena of both. When a continued addition of heat is made to any body,-it gradually increases the mutual distance of the constituent atoms, or dilates the body. A solid thus is first enlarged and soften'ed; then melted pr fused, that is to say, reduced to the state of liquid, as the cohesive attraction is overcome; and lastly, the atoms are repelled to still greater distances, so that the substance is converted into elastic fluid or air. Abstraction of heat from such air causes return of states in the reverse order. Thus ice, when heated becomes water, and the water when farther heated becomes steam; the steam when cooled again becomes water as before, and the water when cooled becomes ice. Ice, water and steam, therefore, are three forms or states of the same substance-one of the most common in nature, being the material of the ocean. LIQUID AND AIR. 31 Other substances are similarly affected by heat, but as all have different relations to it, some requiring much for liquefaction, and some very little, we have that beautiful variety of solids, liquids and air, which constitutes' our external nature. Dilitation.-A rod of iron, which, when cold, will pass through a certain opening, and will lie lengthwise between two fixed points, when heated, becomes too thick and to long to do either.-'For accurate mensuration, therefore, rods or chains used as the measure, must either be at a given temperature, or due allowance must be made for the difference. The walls of a building, under the pressure of a heavy roof, had begun to bulge out so as to threaten its stability. No force tried was sufficient to restore them to perpendicularity, until the idea occurred of using the contracting force of cooling iron. The opposite walls were then connected by a number of iron bars, passing through both, and having nuts to screw close to the wall upon their projecting ends, of which bars one-half were heated at a time, viz., every second or alternate bar, by lamps placed under them, and while lengthened in consequence, and projecting farther beyond the wall, their nuts were again screwed close up; so that on cooling and contracting, they pulled the walls in a degree back to its place. The nuts of the second set ofbars being then screwed home, the others were again heated, and advanced the object as much as the first; and so on, until the object was accomplished. The iron rim of a coach wheel, when heated, goes on loosely and easily, but when afterwards cooled, it binds the wheel most tightly, giving remarkable firmness and strength. Iron hoops on masts and casks, are made to bind in a similar manner. The common thermometer for measuring degrees of heat, is a glass bulb, filled with mercury or other fluid, and having a narrow tube rising from it, into which the fluid, on being expanded by heat, ascends, and so marks the degree. A bladder not quite full of cold air, on being heated, becomes tense, and if weak, may even be burst. Liquid and Air.-A piece of gold, lead, pitch, ice, sulphur1 or of other thing, if sufficiently heated, melts or becomes liquid;. each substance, however, requiring a different degree of heat-gold requires 5,000 degrees, lead 600, ice, 32, and so forth; and if the heating be afterwards continued, most things at certain higher temperatures suddenly expand again to many time the liquid volume, and becomes aeriform fluids. The conversion of water into steam is familiarly known to all. One pint of water driven off as steam from the boiler of a low-pressure steam-engine, fills a space of nearly 2,000 pints, and raises the piston through this, with a force of many thousands of pounds: it immediately afterwards appears again in the cold condenser as a pint of water. Six times as much heat is required to convert a pint of water into steam, as to raise it from an ordinary temperature to that of boiling but the steam, by occupying nearly 2,000 times the space of the water, proves that heat merely produces a revulsion among the particles, and by no means fills up the interstices. The steam rising from boiling water does not appear to the thermometer hotter than the water itself; and hence it was that Dr. Black, whose genius shed so much light on this part of knowledge, gave the excess of heat the name of latent heat. The latent heat Qf common air is made sensible in the match syringe. In this, which is close at the bottom, the piston is driven down quickly and 32 CONSTITUTION OF MASSES. strongly, so as to compress very much the air which is underneath it, and the heat then condensed with the air is sufficiently intense to light a small piece of tinder attached to the. bottom of the piston. Not only are spirits, oethers, oils, &c., convertible, as water is into aeriform fluid, but also sulphur, phosphorus, mercury, and, indeed, all the metals and elementary substances;-some of them, however, requiring heats of great intensity. The varieties of form, then, in the bodies on the face of this earth, may be considered accidental, as dependent on the temperature of the earth, and do not mark the permanent nature ef the substances. In the planet Mercury, which is near the sun, resin, tallow, wax and many vegetable substances deemed by us naturally solid, would all be liquid, as oil is with us; and a certain mixture of tin, zinc and lead, which with us is solid at common temperatures, but melts in boiling water, would there be always liquid like our quicksilver. Our water, oils, and spirits, would there be in a state of steam or air, and could not be known as liquids, except by cooling processes and compression, such as we have lately learned to use for reducing our different airs to the form of liquids. Again, in the cold planet Herschbel, which is nineteen times farther from the sun than our earth is, water, if it exist, can be known only as rock crystal, which fire would have to melt as it does glass with us: our oils would be as butter or resins, and quicksilver might be hammered as. lead or silver is with us. On our own earth, near the equator, common sealing-wax will not retain impressions; butter is oil in the day, and a soft solid at night; and tallow candles cannot be used. And near our pole, in winter, the quicksilver from a broken thermometer is solid metal; water must be melted by fire for use; oils are solid, &c. To judge, then, of the constitution of nature aright, we must always take extended surveys, and not allow prejudice to.mislead us, as it did that Eastern potentate, who put a traveller to death for saying he had visited remote northern countries, where water was sometimes to be seen solid like crystal, and' sometimes white and fleecy, like feathers.-The ancients believed that there were Just four elements concerned in forming our globe, with all upon it, viz., earth, water, air and fire. What a contrast between former and present knowledge.. Repulsion without sensible Heat. As we stated in a former paragraph that besides general. attraction, under names gravitation, cohesion, capillary and chemical attraction, there are mnodifications which have the names of electrical and magnetical attractions; so we have now to remark, that, besides the general repulsion of heat just dekribed, there are peculiarities which we call electrical and magnetical repiulsions. Whether these depend altogether on different causes, or are only modifications of effect from the same cause, we cannot yet positively decide. And it is-a curious fact connected with the subject, that there seems to be,a film of repulsion, so to express it, covering the general surfaces of all bodies, and preventing their meeting in absolute contact, even when they appear to the human eye so to meet. Were it not for this, things would be constantly approaching so closely to each other, that they would. stick or cohere, in a way to disturb the common operations of nature. The following facts illustrate this superficial repulsien, and the means which art uses to overcome it for particular purposes. REPULSION OF SURFACES. 33 Newton found that a ball of glass, or a watch-glass, laid upon a flat surface of glass does not really touch it and cannot be made to touch it by a force of even 1,000 pounds to the inch. In like manner, when glass, stone, porcelain, or indeed almost any body is broken, we cannot make the parts cohere again by simply pushing them together in their former position. Where a union, therefore, between separate masses is desired, we are compelled to have recourse to various artifices A few cases in which cohesion is easily affected, were enumerated at page 27: the following are other instances of a different kind. Gold leaf laid upon clean steel, and then forciby struck by a hammer, coheres to the steel, and gilds it permanently. But iron can be made to cohere to iron, only by rendering both pieces red hot before hammering: —the process is called welding. Iron and platinum are the only metals that can be welded. Tin and lead, in sheets, pressed together between the strong rollers of a flatting-mill, cohere. The other metals require to be melted before the superficial repulsion gives way so as to allow separate quantities to cohere or run into one mass. It is thus, for instance, that gold, silver, lead, &c., are treated. In many cases the substances are not such as can be melted, (wood or marble, for instance,) and then it is necessaryto use some soft glue or cement. Cements must have strong attraction for both substances, and, when dry or cool, must be tenacious in themselves; solder, paste, common glue, motar, &c., are the principal substances of this kind. Certain m.odifications of attraction produce the subordinate states, called crystal, porous, dense, &c." (Read the Analysis, page 22.) It is a remarkable circumstance, that attraction, in causing the atoms to cohere so as to form solid masses, seems not to act equally all around each atom, but between certain sides or parts of one, and corresponding parts of the adjoining one; so that when atoms are allowed to cohere according to their natural tendencies, they always assume a certain regular arrangement and form, which we call crystalline. Because in this circumstance they seem to resemble magnets, which attract each other only by their poles, the fact has been called the polarity of atoms. It is the cause of several of the peculiarities above enumerated, as elasticity, &c. "' Crystallization" is exemplified in the following particulars: Water beginning to freeze, shoots delicate needles across the surface; these thicken and interweave until the whole mass has become solid, but the crystalline arrangement always remains. In most substances, this arrangement is remarkably proved, by the forms of the surfaces left, when the mass is broken. Moisture, freezing on the window-pane in winter, exhibits a beautiful variety of arborescence. A flake of snow viewed in the microscope, is seen to be as symmetrically formed as a fern-leaf or a swan's feather. If a piece of copper be thrown into a solution of silver in nitric acid, it is preferred by the acid to silver, and is dissolved accordingly: the silver in the mean time, during its precipitation or separation, assumes the form of a singularly beautiful shrub or tree, resting on the remaining copper as its root. This appearance is call the arbor Diana. 3 34 CONSTITUTION OF MASSES. Any metal which has been melted, when allowed to cool again, slowly and at rest, becomes solid first on the outside of the mass. If, before the cooling be completed, the remaining liquid be poured from within, a curious internal crystalline structure, like grotto work, is seen. What is called the grain of a metal is the result of this crystallization. Saltpetre, glaubler salt, copperas (to use popular names,) or any other of the many neutral salts, being dissolved in water, and the water being then allowed slowly to evaporate, reappears in beautiful regular crystals, each salt having its peculiar forms, bounded by perfectly plane and polished surfaces. If any such crystal be broken in any part, the broken surface appears to the microscope as if regular layers of particles had been disturbed, (as we see on a larger scale in a broken stack of bricks, or broken pile of shot in a battery yard,) and the defect of the crystal will be exactly filled up by replacing it in the evaporating solution-proving that the ultimate particles are all of the same size. All the precious stones are crystals, and can be well cut only parallel to their natural surfaces. The basaltic pillars of the Giant's Causeway in Ireland, and of the Isle of Staffa, which appears like a garden supported on magnificent columns in the midst of the ocean, are natural crystalline arrangements of particles, equalling in regularity and beauty any human work, and in granduer so far surpassing even the Egyptian pyramaids, that superstitious conjecture naturally supposed them the work of giant architects. It would be endless to go on enumerating crystalline masses, for nature's forms generally, in the inanimate creation, as well as in organized bodies, are regular and symmetrical; and what we see on earth of broken continents, and islands, and rocks, and wild Alpine scenery, are the effects of subsequent convulsions, which have deranged a primitive and natural order. Much ingenuity has been employed to account for the specific forms which different crystalline bodies assume; but the subject is not yet reduced to a state fitting it to be a part of this elementary study. A familiarity with the various figures which the exact science of measures treats of, is required in the person who expects to pursue it with pleasure or advantage. The facts are extremely curious, and the scientific investigation of them may ultimately give important information respecting the intimate constitution of material nature. " Porous."-The crossing of the constituent crystalline needles or plates in bodies, causes them to be porous or full of small vacant spaces. In some cases these are visible to the eye, in many more cases, they are visible to the microscope, and in all, they are to be proved in some way. Owing to the porosity arising from the new arrangement of atoms of solidifying, water and a very few other substances become more bulky in the change from the liquid to the solid state. Water then dilates with such force as to burst the strongest vessels which art can provide, and in winter to split even rocks, where it has been retained in their crevices;freezing water thus curiously producing effects which surpass those of exploding gunpowder. This agency of water contributes to the gradual breaking down of our Alpine summits, and the falling of their destructive fragments into the valleys. The stone called hydrophane (agate) is opaque, until dipped into water, when it absorbs into its pores one-sixth of its weight of the water, and afterwards gives passage to light. Into crystallized sugar, and various stones, much water will enter without increasing the bulk. DENSITY. 35 A kind of sandstone, suitably shaped, forms an excellent filter or strainer for water. Pressure will force water through the pores of the most solid gold:-as was seen in the famous Florentine experiment, where a hollow, thick, golden ball, being filled with water and squeezed, to try the compressibility of water, was found to perspire all over. The examples of porosity in animal and vegetable bodies, are, however, the most remarkable. Bone is a tissue of cells and partitions, as little solid as a heap of empty packing-boxes. Wood is a congeries of parallel tubes, like bundles of organ pipes. It has lately been proposed to prepare wood for certain purposes, as for making the great wooden pins or nails used in ship-building, by squeezing it to half its lateral bulk between very strong rollers, and thus making its density approach to that of metal. A piece of wood sunk to a great depth in the ocean, and exposed to the pressure there, has its pores soon filled with water, and becomes nearly as heavy as stone. Thus it was with the boat of a whale-fishing ship, which had been dragged far under water by a whale, and which, on being afterwards drawn up, was supposed by the crew to be bringing a piece of rock with it. A piece of cork in a strong, close glass vessel, nearly full of water, may be seen floating at the top; but if more water be then forcibly pumped into the vessel, the cork will be squeezed and reduced in size, until at last it becomes heavier than water, and sinks. On water being afterwards allowed to escape, the cork will resume its bulk and will rise. A cork sunk 200 feet under water will never rise again of itself. A bottle of fresh water, corked and let down thirty or forty feet into the sea, often comes up again with the water saltish, although the cork be still in its place: the explanation being, that the cork, when far down, is so squeezed as to allow the water to pass in or out by its sides, but on rising, resumes its former size. " Density," or the quantity of atoms which exist in a given space, is very different in different substances. A cubic inch of lead is forty times heavier than the same bulk of cork Mercury is nearly fourteen times heavier than an equal bulk of water. The density must depend on, first, the size or weight of the individual atoms; secondly, the degree of porosity just now explained; and thirdly, the proximity of the atoms in the more solid parts which stand between the pores. From many circumstances it appears, that the atoms even of the most solid bodies are nowhere in actual contact, but are retained in their places by a balance between attraction and repulsion-thus, A body dilates or contracts, according as heat is added or taken away from it. A weight placed on any upright rod or pillar, shortens it and lessens its bulk, and if suspended from the bottom, lengthens it and increases its bulk, -the rod in both cases returning to its former dimensions when the weight is removed. When a plank or rod is bent, the atoms on the concave side are, for the time, approximated, and those on the convex side are drawn more apart. It is remarkable in solid bodies, not only how precisely the balance between 36 CONSTITUTION OF MASSES. attraction and repulsion determines the relative position of the particles, but also how strongly; for any farther separation of the particles is resisted by all the force which we call the tenacity or cohesion of the substance, and any nearer approach by all the force which we call the hardness or incompressibility. Tin and copper, when melted together, to form bronze, occupy less space by one-fifteenth than when separate: proving that the atoms of the one are partially received into what were vacant spaces in the other. A similar condensation is observed in many other mixtures. A pound of water and a pound of salt, when mixed, form two pounds of brine, but which has much less bulk than the ingredients apart. So also of a pound of sugar dissolved in a pound of water. Water and liquids generally resist compression very powerfully, but yield enough to show that the particles are not in contact. It is found that at 1,000 fathoms down in the sea the water is compressed by the superincumbent water so as to have bulk about a hundredth part less than it would have at the surface. In aeriform masses the atoms are very distant, and hence the masses are more easily compressed. A pint of water, on assuming the aeriform state, in which it is called steam, under ordinary pressure, acquires nearly 2,000 times its former bulk. A hundred pints of common air may be compressed into a pint vessel, as in the chamber of an air-gun; and if the pressure be much farther increased, the atoms will at last collapse and form a liquid. The heat which was contained in such air, and gave it its form, is squeezed out in this operation, and becomes sensible all around. From these proofs of the non-contact of the atoms, even in the most solid parts of bodies; from the very great space obviously occupied by poresthe mass often having no more solidity than a heap of empty boxes, of which the apparently solid parts may still be as porous in a second degree, and so on; and from the great readiness with which light passes in all directions through dense bodies like glass, rock crystal, diamond, &c., it has been argued that there is so exceedingly little of really solid matter, even in the densest mass, that the whole world, if the atoms could be brought into absolute contact, might be received into a nut-shell. We have as yet no means of determining exactly what relation this idea has to truth. The comparative weights of egual bulks of different bodies are called their specific gravities. In thus comparing bodies, it was necessary to choose a standard; and water, as being the substance most easily procurable at all times and in all places, has been generally adopted. The metal called platinum, the heaviest of known substances, is about twenty-two times as heavy as an equal bulk of water, and is therefore said to have specific gravity of 22 —gold is nineteen times as heavy- mercury thirteen and a half-lead eleven-iron eight and a half-copper eight —common stones about two and a half-woods from half to one and a half-cork one-quarter, &c. "Hardness," is not proportioned, as might be expected, to the density of the different bodies, but to the polarity of the atoms in them, that is, to the force with which the atoms hold their places in some particular arrangement. Hardness is measured generally by the circumstance of one body being DENSITY. 37 capable of scratching another. It is here worthy of notice, however, that the powder or dust of a softer body will often, through an effect of motion to be described below, aid in wearing down or polishing one that is harder. Gold, though soft, is four times heavier than the hard diamond; and mercury, which is fluid, is nearly twice as dense as the hardest steel. Diamond is the hardest of known substances. It cuts or scratches every other body, and is generally polished by means of its own dust. Glass-cutters use a point of diamond as a glass-knife, for dividing and shaping their panes. Common flint also cuts glass, as is proved by the frequent scribblings on windows. It is remarkable, that the preparation of iron, called steel, may either be soft like pure iron, or from being heated and suddenly cooled, in the process called tempering, may become nearly as hard as diamond. The discovery of this fact is, perhaps, second in importance to few discoveries which man has made; for it has given him all the edge tools and cutting instruments by which he now moulds every other substance to his wishes. A savage will work for twelve months, with fire and sharp stones, to fell a great tree, and to give it the shape of a canoe; where a modern carpenter, with his tools, could accomplish the object in a day or two. The project has lately been realized, of engraving on plates of soft steel, instead of copper, and afterwards tempering the steel to such hardness, that it may be used as a type or die to make its impression, not on paper, but on other plates of soft steel or of copper; each of which then is equal in value to an original and distinct engraving. By this means the beautiful productions of art, instead of being limited to a comparatively small number of copies and of persons, may be multiplied almost to infinity, becoming the cheap delight of all. " Elasticity" is present in a mass when the atoms, cohering in a particular arrangement only, yield, however, to a certain extent, when force is applied, but move back or regain their natural positions on the forde being withdrawn. Elastic bodies vary much as to the extent to which they yield without breaking, and as to the degree of perfection with which, after the bending, or displacement of atoms, they regain their former state. India rubber is extensively elastic, for it yields far; but it is not perfectly elastic, for when stretched much or often, it becomes perfectly elongated. Glass, again, is perfectly elastic, for it will retain no permanent bend; but, unless in very thin plates indeed, or in fine threads, it will not bend far without breaking. All hard bodies are elastic, as steel, glass, ivory, &c., and many soft ones, as caoutchouc, silk, a harp string, &c. The aeriform bodies are all perfectly elastic, as is rudely seen in a bladder filled with air, when squeezed, and allowed to expand again; and they will change volume to a very great extent. Liquids also are perfectly elastic, but to a small extent. A good steel sword may be bent until its ends meet, and yet, when allowed, will return to perfect straightness. A rod of bad steel, or of other metal, will be broken in bending, or will retain a bend. An ivory ball, let fall on a marble slab, rebounds, owing to the great elasticity of both bodies, nearly to the height from which it fell, and no mark is left on either. If the slab be wet, it is seen that the ivory or mar 38 CONSTITUTION OF MASSES. ble, or both, had yielded considerably at the point of contact, for a circular surface of some extent on the slab is found dried by the blow. The sudden expulsion of air from between the meeting surfaces might contribute to the effect, but the result is very nearly the same when the experiment is made in a vacuum. Billiard balls scarcely lose even their polish by long wear, although the touching parts yield at every stroke. A marble chimney-piece, long supported by its ends, is found at last to be bent downwards in the middle; and the bend is permanent. A steel watch-spring, although so much and so constantly bent, resumes its original form when freed at the end of a century; but occasionally, without evident cause, while in action, it will suddenly give way. Elasticity is a property of bodies of great utility to man, as in his timepieces, carriage-springs, gun-locks, &c., &c. " Br ittleness," designates that constitution of a body where, with hardness, and elasticity perfect as far as it goes, the cohesion among the atoms exists within such narrow limits that a very slight change of position or increase of distance among them is sufficient to produce a rupture. A comparatively slight force, therefore, if sudden, breaks them. It belongs to most very hard bodies. Glass scratches an iron hammer, proving that it is harder than iron-yet glass is the very type of fragility; yielding to the stroke of soft wood, or, indeed, of almost any thing which can give a blow. Steel, when tempered so as to be very hard, becomes brittle also. The steel chisels and tools with which artificers now shape the stones and metals as they formerly did wood, require, of course, to be exceedingly hard; but they thereby lose in regard to the extent of their elasticity, and hence are frequently broken. Cast iron, which is much harder than malleable or wrought iron, is very brittle, while soft iron and steel are the toughest things in nature. "Malleable," or reducible into thin plates or leaves by hammering. This property, in opposition to elasticity and brittleness, belongs to bodies whose atoms cohere equally in whatever relative situations they happen to be, and therefore yield to force, and shift about among each other, without fracture or change of property, almost like the atoms of a fluid. Gold is remarkably malleable, for it may be reduced to leaves of the thinness of 360,000 to the inch, or of 1,800 to a sheet of common paper. For gold-beaters the metal is first formed into rods, these are afterwards rolled or battened into ribbons; the ribbon is cut into portions, which are extended, by hammering, to great breadth and thinness, and which being again divided into portions, are hammered and extended to the thinness described. Silver, copper and tin may also be hammered until very thin. Most other metals crack or are torn before the operation is carried far; and some, on being struck, are broken at once, almost like glass. "Ductile," or susceptible of being drawn into wire. One might expect malleability and ductility to belong to the same substances and in the same degrees-but they do not. In ductile substances, as in malleable, the atoms seem to have no more fixed relation of position than in a liquid, but yet they cohere very strongly. One end of a rod of iron, or other ductile metal, being reduced in size so DENSITY. 39 as to pass through an opening in a plate of steel, is seized by strong nippers on the other side of the plate, and the whole rod is drawn through. It is thus reduced, of course, to the size of the opening, and is lengthened in a like proportion. By repeating the operation through smaller holes successively, a wire may at last be obtained to the size of a hair. Dr. Wollaston's ingenuity produced platinum wire finer than spider's thread. He filled a space in the axis of a silver wire with small platinum wire. He then drew or reduced the compound piece to the smallest wire possible, and on dissolving the silver from the outside, he exposed to view the delicate filament of platinum. The order in which metals may be ranged according to their ductility is, platinum, silver, iron, copper, gold, &c. Melted glass has great ductility. The workers draw or spin it into threads by merely attaching a point, pulled out from the mass, to the circumference of a turning-wheel. A uniform thread then continues to be drawn out and wound upon the wheel, at a rate of 1,000 yards or more per hour. This glass thread, when lying together in quantities, resembles beautiful white hair, and when cut in bunches, it serves as an ornament to the female head, waving in the air like the delicate plume of a bird of paradise. "cPliant." In bodies distinguished by this title, the cohesion is not destroyed by considerable change of direction among the particles, but there is little elasticity, and unlike what happens in a ductile mass, the same atoms always remain together. Of all pliant things, the chief are animal and vegetable fibres and membranes-as silk, bladder, lint, hemp, &c., &c. a Tenacity" means the force of cohesion among the atoms of any mass. It belongs more or less to all solids, and even to liquids. This property varies much in different substances. Iron and its modification called steel possess it in the most remarkable degree. The following table shows the comparative tenacity, or strength to resist pulling of certain metals and woods. Supposing similar wires or rods of each to be used, and of such a size that the surface of a broken end or crosssection would be the one-thousandth of a square inch, the weights supported would be nearly as follows: METALS. Cast Steel. 134 lbs. Best wrought iron. 70 Cast Iron... 19 Copper... 19 Platinum... 16 Silver... 11 Gold... 9 Tin... 5 Lead.. 2 WOODS. Teak... 13 Oak... 12 Beech... 121 Ash... 14 Deal... 11 40 CONSTITUTION OF MASSES. Iron compared in this way, is five or six times stronger than oak. Steel wire will support about 39,000 feet, that is, 71 miles of its own length. Certain animal substances have great tenacity; as-the silk-worm's thread, which is our strongest connecting or sewing material, and has such flexibility united with its strength —the ligaments and tendons of the animal body, possessing at once such admirable strength, elasticity and pliancy: these when dried, and otherwise prepared, constituted the tough bow-strings of our remote forefathers —the hair or wool of animals twisted into threads, and worked into strong and beautiful textures of the loon —strips of animal intestines prepared and twisted, forming the cords of harp and violin, and in strength and uniformity rivaling the steel wires of keyed instruments. The gradual discovery of substances possessed of strong tenacity and which man could yet easily mould to his purposes, has been of great importance to his progress in the arts of life. The place of the hempen cordage of European navies is still held in China by twisted canes and strips of bamboo; and even the hempen cable of Europe, so great an improvement on former usage is now rapidly giving way to the more complete and commodious security of the iron chain-of which the material to our remote ancestors existed only as a useless stone or earth. And what a magnificent spectacle is it, at the present day, to behold chains of tough iron stretched high across a channel of the ocean, as at the Menai Strait, between Anglesea and England, and supporting there an admirable bridge-road of safety along which crowded processions may pour, regardless of the deep below, or of the storm; while under it, ships with full sails spread pursue their course, unmolesting and unmolested t APPENDIX TO PART I.-SECTION I. BY THE AMERICAN EDITOR. IF the reader has studied the preceding section with attention he is prepared to understand the following propositions. Prop. 1-Matter is endowed with properties. Prop. 2.-The properties of matter are distinguishable into two classes, first, those which are general or belong to all kinds of matter, and second, those which are peculiar or belong only to particular kinds of matter. Prop. 3.-The general properties of matter are, indestructibility (p. 22;) extension or the property of occupying a portion of space (p. 24; ) divisibility ( p. 23; ) impenetrability (p. 24; ) and inertia, (p. 42. ) Prop. 4.-Every particle of matter, and also all masses, have a mutual attraction for one another, or endeavor to get near each other; and this attraction is inversely as the squares of the distances. Attractions may be primarily distributed into two classes: one consisting of those which exist between the molecules or constituent parts of bodies, and the other between the bodies themselves. The former are called molecular or atomic attractions, the latter gravitation (p. 26:) of the former there are several varieties, 1st, cohesion (p. 27;) when this variety of molecular attraction is exhibited by liquids pervading the interstices of porous bodies, ascending in crevices or in the pores of small tubes, it is called capilliary attraction (p. 28.) The other varieties of molecular attractions are affinity or chemical attraction (p. 28, ) and electric and magnetic attraction, (p. 30. ) Prop. 5.-Attraction of gravitation, or that force by which all the masses of matter tend towards each other, is exerted at all distances. Prop. 6.-Attraction of cohesion acts only within certain limits, and where its sphere of attraction ends, a repulsive force begins. Prop. 7.-Repulsion, except when dependent on electricity or magnetism, is owing to the presence of heat, which latter pervades all matter. Priop. 8.-The particles of matter are more or less close, according to the quantity of heat among them; but they are never in actual contact (p. 3031,) and hence porosity is usually considered as one of the properties of matter. Prop. 9. —Thepeculiar properties of matter are density (p. 35, ) hardness (p. 36, ) elasticity (p. 37, ) brittleness (p. 38, ) malleability (p. 38, ) ductility (p. 38, ) pliability (p. 39, ) tenacity, (p. 39, ) &c. 42 MOTIONS AND FORCES. SECTION II.-THE MOTION OR PHENOMENA OF THE UNIVERSE.* ANALYSIS OF THE SECTION. The bodies or masses composing the universe may be at rest or in motion, and to change any present state, force proportioned to the quantity of the body and to the degree of change, is equally requised, whether to yive motion, to take it away, or to bend t: —a truth expressed by saying that matter has INERTIA, or figuratively, a stubbornness. Unifbrm straight motion, then, is as naturally permanent as rest. And the motion in any body, measured by its velocity, quantity of matter and direction, is the measure of the amount and direction of any single force or of any combiination of forces, which has produced it, as also of the force or momentum which the body can exhibit again when opposed or made to act itself as a cause of some new motion. The great forces of nature, referred to by the two words ATTRACTION and REPULSION, acting upon INERT matter, produce the equable, accelerated, retarded and bent motions which constitute the great phenomena of the universe. — Tides, currents, winds, falling bodies, &c., exemplify attraction. —Explosion, steam collision, &c., exemplify repulsion. And as in every case of attraction or repulsion two masses at least must be concerned, there is no motion or action in the universe, without an equal and opposite motion or re-action.;" Motion" Is the term applied to the phenomenon of the changing of place among bodies. Were there no motion in the universe it would be dead. It would be without the rising or setting sun, or river flow, or moving winds, or sound, or light, or animal existence. To understand the nature and laws of the motions or changes which are going on around him, is to man of the greatest importance, as it enables him to adapt his actions to what is coming in futurity, and often to interfere so as to control futurity for his special purposes. Motion, in any particular case, is described by referring to certain objects to mark place, and to some other motion chosen as the standard of velocity. -A man sitting on the deck of a sailing ship, has common motion with the ship: if walking on the deck, he has relative motion to the ship: but if he be walking towards the stern, just as fast as the ship advances, he is at rest relatively to the bottom or shore. A ship sailing against the tide, just as fast as the tide runs, is as much at rest relatively both to the earth and water as if she were at anchor. Absolute motion is that which is relative to the whole universe, or rather to the space in which the universe exists. We have no means of ascertaining such: for although we know how fast our globe whirls upon its axis and wheels round the sun, we have no measure of the motion of the sun himself-revolving possibly round some * The reader should here re-peruse the title and Analysis at page 22. MOTION. 43 more distant centre, but almost certainly having a progress in space, and carrying all the planets along with him. Mlotion is called rapidl, as that of lightning-slow, as that of the sun-dial shadow; both terms have reference to the ordinary intermediate velocities observed upon earth. It is called straight or rectilincal, in the apparent path of a failing body —bent, or curvilinear, in the track of a body thrown obliquely-accelerated, in a stone falling -to the earth-retarded, in a stone thrown upwards while rising to the point where it stops before again descending. "Owing to the INERTIA of bodies, force is equally required to impart motion and to take it away." (Read again the last Analysis.) If a man put his hand to the crank of a heavy fly-wheel or grindstone, to turn it, he experiences a certain resistance, which, however, gradually yields to his effort, and he leaves the wheel whirling with velocity proportioned to the effort. If he then puts out his hand again to stop the wheel, he experiences an opposite but similar resistance, which however, as before, gradually yields, and he brings the wheel to rest. In the second case the effort required of him is less than the first, by reason of the friction of the turning axle, and the resistance of the air in which the wheel moves, —obstructions which, when he was giving motion, opposed him, but when taking it away assisted him. That these obstructions caused the whole difference in such a case, and that they are the great reasons why all ordinary motions on earth seem to tend of themselves to cease, will be shown in subsequent pages. It is the resistance overcome in moving the wheel or in stopping it, and occasioning an expenditure of force proportioned to the mass and to the degree of change of state, which is called the INERTIA of the mass, or the vis inertire, and sometimes, to help the conception of the student, the stubbornness, sluggishness, or inactivity; but none of these words can originally suggest to the mind all that is intended to be conveyed. An exact measure of the amount of inertia is contained in the familiar fact that a body let fall near the surface of the earth, falls rather more than 16 feet in the first second of time,-the well-known weight of the body, or force of terrestrial attraction acting upon it for one second, being just sufficient to overcome its inertia to the extent stated. Were the inertia of matter only half of what it is, a body near the earth would fall 32 feet in the second, instead of 16, as it equally would, if, with present inertia, the attraction of the earth were doubled. And were there no inertia, it would fall or pass through any height, however great, in one instant. As the amount of inertia thus determines the amount of other force required to give motion to a mass, so does it determine the amount of force required to destroy motion in a mass. A heavy cannon-ball, if wanting inertia, might be dispatched with the speed of lightning by the slightest force, but then the stiffness of a stalk of corn would suffice to arrest it; and while the ball, with the inertia now existing, takes the force of pounds of gunpowder to give it its usual motion, it may not be stopped, even by the cohesion of a block of granite, which accordingly it shivers to pieces. The numerous examples now to follow will prove the immense importance of inertia in the general operations of nature. When the sails of a ship are first spread to receive the force or impulse of the wind, the vessel does not acquire her full speed at once, but slowly, as the continuing force gradually overcomes the inertia of her mass. When the 44 MOTIONS AND FORCES. sails are afterwards taken in, she does not loose her motion at once, but slowly again, as the continued resisting force of the water destroys it. Horses must make a greater effort at first to put a carriage in motion than to maintain the motion afterwards. And a strong effort is required to stop a moving carriage. When a carriage, of which the body hangs from springs, is first moved, the body appears to fall back, and a person within seems to be suddenly forced against the back cushion. When the carriage is stopped again the body swings forward, and if the stoppage be very sudden, a careless passenger may unwittingly pop his head through a front glass. These particulars prove the inertia, first of rest, and secondly of motion. A man standing carelessly at the stern of a boat, when the boat begins to move, falls into the water behind; because his feet are pulled forward while the inertia of his body keeps it where it was, and therefore behind its support. The stopping of a boat, again, illustrates the opposite inertia of motion, by the man's falling forward. An awkward rider on horsback may be left behind, when his horse starts forward suddenly: or may be thrown off on one side by the horse starting to the other. A horse at speed, stopping suddenly, often sends his cavalier over his ears-as was mortifyingly experienced by a coxcomb, who, on an old cavalry horse, chose to canter along a foot-path, to the annoyance of the company, and whose horse on hearing the word halt loudly addressed to it by a waggish officer of the regiment, who happened to be there and to recognize it, suddenly stood and got rid of its load. The mind or will of the beau had sinned against the law of propriety, but his body very perfectly obeyed the laws of inertia and gravity, by shooting forward in a parabolic curve to the earth. A young man not yet accustomed to the whip, drove his phaeton against a heavy coach on the road, and then to his father foolishly excused his awkwardness, in a way which led to the prosecution of the coachman for furious driving. At the trial, the youth and the servant both deposed that the shock of the coach was such as to throw them over their horses' heads, and thus lost the case, by unconsciously proving, that the faulty velocity was their own. A man jumping from a carriage at speed is in great danger of falling forward, when his feet reach the ground; for his body has as much forward velocity as if he bad been running with the speed of the carriage and unless he advance his feet like a running man, to support his advancing body, he must as certainly be dashed to the ground, as a runner whose feet are suddenly arrested. A man racing who receives a signal to stop, and a man jumping from a flying vehicle, must check their motion nearly in the same way. A person wishing to leap over-a ditch or chasm, first makes a run, that the motion thereby acquired may help him over. A standing leap falls much short of a running one. An African traveller saw himself pursued by a tiger, from which he could not escape by running; but perceiving that the animal was watching an opportunity to seize him by its usual spring or leap, he artfully led it to where the plain terminated in a precipice hidden by brush-wood, and he had just time to transfer his hat and cloak to a bush, and to retreat a few paces when the tiger sprung upon the bush, and by the moral inertia of its body, was carried over the precipice and destroyed. From a glass of water suddenly pushed forward on the table, the water is spilt or left behind; but if the glass be already in motion, as when carried MOTION. 45 by a person walking, and if it then be suddenly stopped by coming against an impediment, the water is thrown or spilt forward. A servant carrying a tray of glasses or china in the dark, and coming suddenly against an obstacle, hears all his freight slipping forward and crashing at his feet: and a too hurried departure with such a load causes equal destruction, on the opposite side. The actions of beating a coat or carpet with a cane, to expel the dust; of shaking the snow from one's shoes, by kicking against a door-post; of cleaning a dusty book by knocking it against a table, or shutting it violently-all illustrate the same principle. If a guinea be laid on a card which is already balanced on the point of the finger, a small fillip or blow to the edge of the card will cause it to dart off, but the guinea, owing to its inertia, will remain resting on the finger, —its inertia being greater than the friction on it of the card passing from underneath it. When we desire a person, with suspected disease of the brain, to shake his head and tell whether and where he feels pain, we are doing nearly as if we touched the naked brain with the finger to find the tender part; for the inertia of the brain, when the skull is moved, causes a momentary pressure between it and the skull, almost equivalent, for the purpose desired, to such a touch. This kind of pressure is sufficient to break and destroy tender wares-as glass or eggs-in packages which are too suddenly moved or stopped. A weight suspended by a spring on ship-board is seen vibrating up and down as the ship pitches with the waves. It seems to fall as the ship rises, and to rise as the ship falls: but the motion is really in the ship, and the comparative rest is in the weight. A heavy weight so supported, and connected with a pump-rod, would work the pump. Like the weight last mentioned, the mercury of a common barometer on ship-board is seen rising and falling in the tube; and until the important improvement was lately made, of narrowing one part of the tube to prevent this, the mercurial Barometer was useless at sea. The explanation is, that the tube rises and falls with the ship, from being connected with it; but the mercury, which plays freely in the tube, and is supported by the atmospheric pressure, tends, by its inertia, to remain at rest, and thus makes the motion of the ship apparent. What happens to the mercury in the barometer-tube on ship-board, indicates what happens to the blood in the vessels of animals under similar circumstances. In any long vein below the heart, when the body falls, the blood, by its inertia and the supporting action of the vessels, does not fall so fast, and therefore really rises in the vein: and as there are valves in the veins preventing return, the circulation is thus quickened without any muscular exhaustion on the part of the individual. This helps to explain the effect of the movement of carriages, of vessels at sea, of swings, &c., and of passive exercise generally, on the circulation, and leaves it less a mystery why these means are often so useful in certain states of weak health. If a cannon ball were to break to pieces in its flight, its parts would still advance with the previous velocity. And thus, in the deadly contrivance of the Shrapnell-shell, which is in a case containing hundreds of musket bullets, when these are scattered at the desired distance from the devoted body of men, they retain the forward velocity of the shell, and spread death around like the near discharge of a whole battalion of musketry. On the awful occasion of a ship in rapid motion being suddenly arrested 46 MOTIONS AND FORCES. by a sunken rock, all things on board, men, guns, and furniture, start from their places and dash forwards; while the onward inertia or moral obstinacy of the hinder parts of the ship, suffices to crush her bow against the rock. ".Motion as naturally permanent as rest." From the instances now given, it is seen that a body at rest would never move if force were not applied, and that a body put in motion retains motion, at least for a time, after the force has ceased; but there is a feeling from common experience, that motion is an unnatural or forced state of bodies, and that all moving things, if left to themselves, would gradually come to rest. It is recollected that a stone projected comes to rest, or a wheel left moving, or a bowl rolled on the green, or the waves heaving after a storm-and in a word, that there is no perpetual motion on the earth. On more attentive consideration, however, it may be perceived that there are prodigious differences in the duration of motions, and that the differences are always exactly proportioned to evident causes of retardation, and chiefly to friction and the resistance of the air. Friction is the resistance which bodies experience when rubbing or sliding upon each other; and however much it may be diminished by art, it can in no case be annihilated. Air-resistance, again, to motions going on in air, is of the same nature as water-resistance to motions going on in water, only less in degree: and as advancing science has shown the true nature of our atmosphere, the amount of this resistance is perfectly ascertained. A smooth ball rolled on the grass soon stops-if rolled on a green cloth over a smooth plank it goes longer-on the bare plank, longer still-on a smooth and level sheet of ice, it hardly suffers retardation from friction, and, if the air be moving with it, will reach a distant shore. Two little wind-mill wheels set in motion together with equal velocity, but of which one has the flat sides of the vanes turned to their course, and the other the edges, if moving in the air, will stop at very different times, but if tried in a vessel from which the air has been removed, they will both go much longer, and will then stop exactly together. As it is to facilitate the motion of fishes in the water, that they are of sharp form before and behind; so it is to facilitate the motion of birds in the air that they have somewhat of a similar form. A large spinning-top, with a fine hard point, set in motion in a vacuum, and on a hard, smooth surface, will continue turning for hours. A pendulum moving in a vacuum has only to overcome slight friction at its point of suspension, and, therefore, if once put in motion, will vibrate for a day or more. But it is in the celestial spaces that we see motions completely freed from the obstacles of air and friction —and there they seem eternal. Had the human eye, unassisted, been able to descry the four beautiful moons of Jupiter, wheeling around him for these thousands of years, with such unabated regularity, and which now form, to the telescope of the astronomer, a perfect and magnificent time-piece in the sky, or had science long proved that the velocity imparted to our globe, when first launched into its present orbit, still wheels it along as swiftly as in the days of the first man, this error or prejudice, that motion is always tending to rest, would never have arisen. Indeed, had these or other such truths, been long familiar to the common MOTION UNIFORM. 47 mind, the opposite prejudice might as well have obtained, that motion is the natural state, and rest a forced or unknown state. We know of nothing which is absolutely at rest. The earth is whirling round its axis and round the sun; the sun is moving round its axis and round the centre of gravity of the solar system, and possibly, round some more remote centre in the great universe, carrying all its planets and comets about his path. If there were any natural tendency in moving bodies to stop, a thing floating in a trough of water, on board a sailing ship, should always be found at the end of the trough nearest the stern; and in all the seas and lakes of the earth, the floating things should be accumulated on the western shores, because the surface of the earth is always turning towards the east. We know that neither of these suppositions is truth. A man on board a moving ship can throw any body just as far towards the bow as towards the stern; although in the two cases the velocity, as regards the earth is so different. Ignorance of the law of moral inertia led a story-telling sailor to assert, as a proof of the speed of his favourite ship, that when a man one day fell from the mast-head, the ship had passed from under him before he reached the deck: the fact in such a case, being, that he must have fallen on the same part of the deck, whether the ship were in motion or at rest, because his body had just the motion or rest which belonged to the ship. Another equally sapient man, reflecting that the earth turned round once in twenty-four hours, proposed rising in a balloon, and waiting aloft, until the country which he desired to reach should be passing under him. "Motion naturally uniform." (See the Analysis.) It is only repeating that a body can neither acquire motion nor lose motion without a cause, to say that free motion must be uniform. The perfect uniformity of undisturbed motion is proved by every fact observed in the universe. If any continued motion, as of a planet, for instance, be found at one time to have certain relative velocity to some other continued motion, the same relation is found always to hold: or deviations from perfect uniformity are exactly proportioned to the disturbing causes. Thus we can foretell the exact time of an eclipse, a thousand years before its occurrence. Had motion not been in its nature uniform, a man could have formed no rational conjecture or anticipation as to future events; for it is by assuming, for instance, that the earth will continue to turn uniformly on its axis, that he speaks of to-morrow and of next week, &c., and that he makes all his arrangements for future emergencies: and were the coming day, or season, or year, to arrive sooner or later than such anticipation, it would throw such confusion in all his affairs, that the world would soon be desolate. To calculate faturities, then, or to speak of past events, is merely to take some great uniform imotion as a standard with which to compare all others; and then to say of the remote event, that it coincided or will coincide with some described state of the standard motion. The most obvious and best standards are the whirling of the earth about its axis, and its great revolution round the sun. The first is rendered very sensible to man by his alternately seeing and not seeing the sun, and it is called a day; the second is marked by the succession of the seasons, and it is called a year. The earth turns upon its axes nearly 365 times while it is performing one circuit round the sun, and thus divides the year into so many smaller parts, and the day is 48 MOTIONS AND FORCES. divided into smaller parts, by the progress of the earth's whirling being so distinctly marked, in the constantly varying direction of the sun, as viewed from any given spot on the face of the earth. When advancing civilization made it of importance for men to be able to ascertain with precision the very instant of the earth's revolution, connected with any event, various contrivances were introduced for the purpose; as,-sun-dials, where the shadow travels progressively round the divided circle; —the uniform flux of water through a prepared opening —the flux of sand in the common hour-glass, &c. But the great triumphs of modern ingenuity are those astronomical clocks and watches, in which the counted equal vibrations of the pendulum, or balance-wheel, have detected periodical inequalities even in the motion of the earth itself, and have directed attention to unsuspected disturbing causes, important to be known. It is the natural uniformity of undisturbed motion which causes any number of bodies moving together, as the furniture of a sailing ship, to appear among themselves as if at rest, —no one tending to pass before, or to fall behind, or to move to one side or another. For the same reason a person who is moving with such bodies is absolutely insensible of his uniform progression, and knows it only by reasoning from such facts as the changing appearance of other objects around which do not share the motion, the rushing of the waves or wind, &c. When a ship is becalmed at sea, she may, as numberless sad accidents have proved, be carried by rapid currents in any direction, without one of the crew suspecting that she has motion at all; and if the suspicion do arise, the truth can be come at only by such means as the sounding line, where the bottom can be reached, or careful observation of the heavenly bodies where it cannot. A man in the hold of a ship in a river or tides-way cannot say whether the rushing of water, which he hears from without, be a rapid tide passing the ship at anchor, or the effect of the ship's advance in the river. A man in a balloon going 80 miles an hour, knows not in what direction he is moving, nor indeed that he is moving at all, but by observing the objects below. This explains why men are not sensible of the motion of the earth itself, which they know, however, to be turning around its axis once in twenty-four hours, and therefore to have its surface near the equator moving with a speed of more than 1,000 feet per second; and as in the case of a ship or balloon, there will be no difference of sensation whether the speed were of one mile per hour or of 10 or 100, so in the case of the earth, there would be none whether it turned as now, once in twenty-four hours; or, like the planet Jupiter, once in ten. A hunter among the hills, who during the heat of noon, rests and contemplates around him a sublime scene of solitude and silence, may little think that if, amidst that apparent repose of nature, he were for a moment lifted up from the earth and held at rest above its surface, he would see its face of hill and dale sweeping past beneath him at the prodigious rate of 1,000 miles an hour, on account solely of the whirling of the earth. The fact that a cannon-ball can be shot just as far upon the surface of the earth, eastward, in the direction of the earth's motion, as westward, against it, illustrates the truth, that whatever common motion objects may have, it does not interfere with the effect of a force producing any new relative motion among them. All the motions seen on earth are really only slight differences among the common motions: as in a fleet of sailing ships, the apparent changes of place among them are in reality only slight alterations of speed or direction, in their individual courses. MOTION STRAIGHT. 49 A man continuing to throw upwards a ball or orange, or several of them gt once, and to catch and return them alterfiately, uses no difference of art as regards them, whether he be standing on the earth and whirling with it, or on a sailing ship's deck, or in a moving carriage, or on a galloping horse's back. He and the oranges have always the same forward common motion. And when a man, standing on a galloping horse, leaps through a hoop held acros his course, he does not leap forward-for this would throw him over the horse's ears-but merely jumps up and allows his moral inertia to carry him through. The reason why a lofty spire or obelisk stands more securely on the earth, than even a short pillar stands on the bottom of a moving wagon, is, not that the earth is more at rest than the wagon, but that its motion is uniform.WTere the present rotation of our globe- to be arrested but for a moment, imperial London, with its thousand spires and turrets, would, by the moral inertia, be swept from its valley towards the eastern ocean, just as loose snow is swept away by a gust of wind. " Force is required to bend motion." If a body moving freely cannot vary its velocity without a cause, neither can it vary its course without a cause; and free motion, therefore, is straight as well as uniform. A ball shot directly up or down gives men their simplest idea of straight motion. A bullet or arrow, projected horizontally, is gradually drawn downwards by the attraction of the earth, but it deviates neither to the right nor to the left. William Tell, trusting to the natural straightness of motion, obeyed the tyrant's order, and shot an apple placed on his child's head. And the right eye of Philip of Macedon is said to have been destroyed by an arrow which brought a label on it, telling its destination. Riflemen shooting at a target, hit the very spot they choose to aim at. A stone in a sling, the moment it is set at liberty, darts off as straightly as an arrow from the bow-string or a bullet from a gun-barrel, and it is only because the point of its circle, from which it should depart, cannot in practice'be accurately determined, that the same sure aim cannot be taken with it. A body moving in a circle, then, or curve, is constrained to do what is contrary to its inertia. A person on first approaching this subject, might suppose that a body, which for a time has been constrained to move in a circle, should naturally continue to do so when set at liberty. But on reflecting that a circle is as if made up of an infinite number of little straight lines, and that the body moving in it has its motion bent at every step of the progress, the reason is seen why constant force becomes necessary to keep it there, and force just equal to the inertia with which the body tends, at every point of the circle, rather to Fig. 2. pursue the straight line, called a tangent, of which that point, as seen in Fig. 2, is the commencement, than the circle itself. The force required to keep the body in the bent course, is called centripetal or centre-seeking force; while the inertia of the body tending outwards, that is, to move in a straight line rather'then in a curve, is called the centrifugal or centre-flying force; and the term central forces is applied to both. 4 50 MOTIONS AND FORCES. A sling-cord is always tight while the cord is whirling: and its tension is of course the measure both of the centripetal and centrifugal force. A means, then, of measuring the tension of a sling-cord would experimentally demonstiate the amount of centrifugal force; and such a means we possess in the contrivance called the "' whirling table," upon which is a leading sling, or any mass with a string attached to it, may be placed to revolve, at any desired distance from the centre. and with any desired velocity, while the string passing over a pulley at the centre, is made to lift weights proportioned to the outward dragging of the revolving mass. By this apparatus it is found, as would be expected, that centrifugal force-in other words the force with which the inertia of moving matter resists the bending of its course from straight to circular, is proportioned, first, to the quantity of matter moved — every separate particle having its own inertia; second, to the size of the circle or orbit described in the same time-a body moving in a circle of double diameter for instance, having to be forced inwards from the tangent, at every departure, twice as far in a given time; third, that with a double revolution in the same time, the centrifugal force is not double but quadruple (a corresponding proportion existing for other velocities,) because, not only are there twice as many bendings or angular departures from the tangent for the two circles as for one, requiring, as may be said, twice as many tugs or impulses of the centripetal force, but every impulse must be made with double energy, for it has to drive the mass inwards through the required distance in half the time; and twice as many impulses, every one being twice as strong, make a quadruple amount of force on the whole; fourthly and lastly, it is found, agreeing with the relation between inertia and terrestrial gravity described at page 43, that a body revolving, for instance, in a circle of four feet diameter, that it may have centrifugal force just equal to its weight, required to complete its revolution in one second and a half of time. This and similar facts will be more particularly considered when we come to treat of the motions of the planets round the sud. This analysis of central forces will suffice to excite in the student a due interest touching the kindred phenomena now to be described. Bodies laid on a whirling horizontal wheel, are readily thrown off. In a corn-mill, the grain, after being admitted between the stones through an opening in the centre of the upper stone, is then kept turning round between them, and is, by its centrifugal force, always tending and travelling outwards until it escapes as flour from the circumference. A man, if he lie down on a turning millstone with his head near the edge, falls asleep, or dies of apoplexy, from the new pressure of blood on the brain. A wet mop, or bottle-brush, made to turn quickly on its handle as an axis, throws the water off in all directions, and soon dries itself. Sheep, in wet weather, thus discharge the water from their fleeces, by a semi-rotatory shake of the skin. Water-dogs, on coming to land, dry themselves by the same action. A tumbler of water placed in a sling, may be made to vibrate like a pendulum with gradually increasing oscillation, and at last to describe the whole circle, and continue revolving about the hand, without spilling a drop:-the water, by its inertia of straightness, or centrifugal force, tending more away from the centre of motion towards the bottom of the tumbler, even when that is uppermost, than towards the earth by gravity. As solid bodies laid on a whirling table are thrown off, so water in a vessel caused to spin round in any way, as on the centre of a horizontal wheel, CENTRIFUGAL FORCE. 51 instead of lying at the bottom, is raised up all round, against the sides of the vessel. Water, poured obliquely into a funnel, runs round the interior of it, and often leaves an open passage of air all the way down through it, as if there were merely a lining of water to the funnel. The centrifugal force of the turning water is a chief reason of this phenomenon: another reason will be considered farther on, under the head of atmospheric pressure. Great whirlpools at sea, and smaller ones, or eddies in rivers, occur whenever a current is obliged suddenly to bend, as in rounding a point of land or a rock, or in meeting and mingling with a contrary current. The water, by tending to continue its straight motion, falls in behind the obstruction, reluctantly as it were, and leaves there a pit surrounded by a liquid revolving ridge. Charybdis, in the Mediterranean, and the great whirlpool off the Norwegian coast, are noted examples. It is owing to the centrifugal force in any bending part of a stream of water, that is to say, the tendency away from the centre of the curvature, that when a bend has once commenced, it increases, and is soon followed by others, until that complete serpentine winding is produced, which characterizes most rivers in their coufs'e across extended plains. The water being thrown by any cause to the left side, for instance, wears that into a curve or elbow, and, by its centrifugal force, acts constantly on the outside of the bend, until rock or higher land resists the gradual progress; from this limit being thrown back again, it wears a similar bend to the right hand, and after that, another to the left, and so on. Carriages are often overturned in quickly rounding corners. The inertia carries the body of the vehicle in the former direction, while the wheels are suddenly pulled round by the horses into a new one. A loaded stage-coach running south, and turning suddenly to the east or west, strews its passengers on the south side of the road. Where a sharp turning in a carriage-road is unavoidable, the road towards the outside of the bend should always be made higher than at the inside, to prevent such accidents. A man or a horse turning a corner at speed, leans much inward, or towards the corner, to counteract the centrifugal force, that would throw him away from it. In skating with great velocity, this leaning inwards at the turnings becomes very remarkable, and gives occasion to the fine variety of attitudes displayed by the expert; and if a skater, in running, finds his body inclined to one side and in danger of falling, he merely makes his skate describe a slight curve towards that side, when the tendency of his body to move straightly, or its centrifugal force, refusing to follow in the curve, allows the foot to push itself again under the body, and to restore the perpendicularity. Skating becomes to the intelligent man an intellectual as well as a sensitive or bodily treat, from its exemplifying so pleasingly the law of motion. The last example explains, also, why a hoop rolled along the ground goes so long without falling: if it incline to one side, threatening to fall, by that very circumstance, the part touching the ground is made to bend its course to that side, and as in the case of the skater who turns his foot, the supporting base is again forced directly under the mass of the body. A coin dropped on the table or floor often exhibits the same phenomenon. It is said to run and hide itself in the corner. Just before falling, if not obstructed, it describes several turns of a decreasing spiral, the minute examination of which is a pleasing mathematical exercise. The reason also why a spinning top stands, will be understood here. 52 MOTIONS AND FORCES. While the top is quite upright, the extremity of its peg, being directly under its.centre, supports it steadily, and although turning so rapidly, and with much friction, has no tendency to move from the place: but if the top incline at all, the edge or side of the peg, instead of its very point, is in contact with the floor, and the peg then becoming as a turning little roller, advances quickly, ahd describes a curve somewhat as a skater's foot does, until it come directly under the body of the top as before. It thus appears that the very fact of the top inclining, causes the point to shift its place, and to continue moving until it comes again directly under the centre of the top. It is remarkable that even in philosophical treatises of authority the standing of a top is still vaguely attributed to centrifugalforce. And some persons believe that a top spinning in a weighing scale, would be found lighter than when at rest; and others most erroneously hold that the centrifugal force of the whirling, which of course acts directly away from the axis, aid quite equally in all directions, yet becomes, when the top inclines, greater upwards than downwards, so as to counteract the gravity of the top. The way in which centrifugal force really helps to maintain the spinning of a top is, that when the body inclines or begins to fall in one direction, its motion in that direction continues until the point describing its curve, like the foot of a skater, has forced itself under the body again. By reason of centrifugal force also, it is easier to do feats of horsemanship in a small ring as at our theatres, than if the animal were running on a straight road. We see the man and the horse always inclining inwards to counteract centrifugal force, and if the rider tend to fall inwards, he has merely to quicken the pace; if to fall outwards, he has to slacken it, and all is right again. If a pair of common fire-tongs, suspended by a cord from the top, be made to turn by the twisting or untwisting of the cord, the legs will separate from each other with force dependent on the speed of rotation, and will again collapse when the turning ceases. Mr. Watt adapted this fact most ingeniously to the regulation of the speed of his steam-engine. His steamgovernor may in truth be described as a pair of tongs with heavy balls at the ends, to make their opening more energetic, attached to some turning part of the machine. If the engine move with more than the assigned speed the balls open or fly asunder beyond their middle station, and by a simple contrivance are then made to act on a valve which contracts the steam tube; on the contrary, with too slow a motion, they collapse and open the valve. A half formed vessel of soft clay, placed in the centre of the potter's table, —which is made to whirl and is called his wheel,-opens out or widens merely by the force of its sides and thus assists the worker in giving its form. A ball of soft clay, with a spindle fixed through its centre, if made to turn quickly, soon ceases to be a perfect ball. It bulges out in the middle, where the centrifugal force is great, and becomes flattened towards the ends, or where the spindle issues. This change of form is exactly what has happened to the ball of our earth. It has bulged out seventeen miles at the equator, in consequence of its daily rotation, and is flattened at the poles in a corresponding degree.A mass of lead that weighs one thousand pounds at our pole, weighs about five pounds less at the equator, by reason of the centrifugal force. In the planets Jupiter and Saturn, of which the rotation is much quicker than of our earth, the middle or equator bulges out still more-even so as to offend an eye which expects a perfect sphere. QUANTITY OF MOTION. 53 If the rotation of our earth were seventeen times faster than it is, the bodies or matter at the equator would have centrifugal force equal to their gravity, and a little more velocity would cause them to fly off altogether, or to rise and form a ring around the earth like that which surrounds Saturn. Saturn's double ring seems to have been formed in this way, and is now supported chiefly by the centrifugal force of the parts. Were it to crumble to pieces, the pieces rMight still revolve, as so many little satellites. His true satellites are only more distant masses sustained in the same manner. And our earth and the other primary planets have the same relation to the sun that these satellites have to Saturn-all being sustained by an admirable balance between centrifugal force and gravity. "The quantity of Motion in a body measured by the velocity and quantity of matter. If a single atom of matter were moving at the rate of one foot per second it would have a definite quantity of motion expressed by these words; and if it were moving ten feet per second, it would have ten times the quantity. Again, in a mass consisting of many atoms, the quantity of motion would be still as much greater as there were more atoms in it than one. By experiment it is found, that if a ball of soft clay of one pound, suspended by a cord as a pendulum, be allowed to fall with a velocity of ten feet per second, against a ball of nine pounds suspended in the same way, bub at rest, the two, after contact, will start together at the rate of one foot per second, the original quantity of motion being then diffused through ten times the quantity of matter, and therefore exhibiting only one tenth of the velocity. A cannon ball of a thousand ounces, moving one foot per second, has thus the same quantity of motion in it as a musket-ball of one ounce, leaving the gun-barrel with a velocity of a thousand feet in the second. "' The quantity of motion in a body is the measure of the force which produced it." * The experiment of the balls of clay mentioned above furnishes one instance of this truth. Again, a body falling for ten, seconds, acquires ten times as much velocity as by falling for one second; its motion thus measuring the force of gravity which has been exerted upon it. When a large body or mass of many atoms falls, it of course has as much more motion than a smaller body, as there are more atoms in it than in the smaller; but as gravity acts equally on every atom, the force causing either body to fall is still exactly indicated by the quantity of motion in it. A large body or mass of many atoms falls where there is no impediment, with the same velocity as a smaller body or a single atom; for gravity pulls equally at each atom, and must overcome its inertia equally, whether it be alone or with others. This remark contradicts the popular opinion, that a large and heavy body should fall to the earth much faster than a small and light one; an opinion which has arisen from our constantly seeing such contrasts, as the rapid fall of a gold coin, and the slow descent of a feather. The true cause of the contrast is, that the atoms of the feather are much spread out, so as to be more resisted by the air than those of the gold. If the two be let fall together in a vessel from which the air has been extracted-as in the common air-pump experiment, they arrive at the bottom in exactly the same time; 54 MOTIONS AND FORCES. and even in the air, if the coin be hammered out into gold leaf, it will fall still more slowly than the feather. One brick dropped from a height, because its motion is not much affected by the air, reaches the earth very nearly as soon as ten bricks let fall near it, whether they be connected or separate-as a single horse may reach the goal as soon as ten horses galloping abreast. A man's force will move a small skiff quickly, a loaded barge very slowly, and a large ship in a degree scarcely to be perceived. In each case, however, the quantity of motion may be the same, and a true measure of the force which produced it. A ball of one pound weight, impelled by a given force, moves twice as fast as a ball of two pounds impelled with the same; yet, although the velocities are different, the quantities of motion, as ascertained by the rule already given, are equal, and indicate an equality of producing force. " The quantity of motion in a body is the measure also of the force or mo~ mentum which it can exhibit again." (See the Analysis, 42. ) Bodies, owing to their inertia, may be regarded as passive reservoirs of force or motion, always ready to return as much as they have received. Momentum is the name given to the motion in a body; with reference to the production by it of new motions or the overcoming of resistances, and is but another term for the quantity of motion A cannon ball, according to the quantity of motion in it, may have only the force or momentum that will bruise a plank, or it may have enough to penetrate a tree, or even to shoot its rapid way through a block of the hardest stone. A block of wood floating against a man's leg with moderate velocity, would be little felt; but a loaded barge, coming at the same rate and pressing it against the quay, might break the bones; a large ship, again; although moving no faster, would crush his body against any fixed obstacle; and an island of ice, opposed in its approach to another, even by a first-rate man-ofwar, would destroy it, as meeting barges destroy a floating egg-shell. A hail-stone falling, strikes rudely;- a stone rolled from a height, as of old, by the besieged against besiegers, may carry death with it to many; an avalanche, breaking from its hold on a mountain steep, may sweep away a village. To meeting bodies, the shock is the same, whether the motion be shared between them or be all in one. If a running man come against a man who is standing, both receive a certain shock. If both be running at the ~same rate in opposite directions, the shock is doubled. In some such cases, as where swift skaters have met, the shock has proved fatal. The meeting fists of boxers not unfrequently dislocate or break bones. A man's skull is fractured as certainly by its being dashed against a tree or beam, while he is on a galloping horse, as by a blow of a similar beam coming upon him with the velocity of the horse. When two ships in opposite courses meet at sea, although each may be sailing at a moderate rate, the destruction is often as complete to both as if with a double velocity they had struck on a rock. Many melancholy instances of this kind are on record. In the darkness of night a large ship has met one smaller and weaker, and in the lapse of a few seconds, have followed DIRECTION OF FORCES. 55 the shock of the encounter, the scream of the surprised victims, and the horrible silence when the waves had again closed over them and their vessel for ever.-In November, 1825, on the coast of Scotland, the Comet steamboat was thus destroyed, and carried to the bottom with her about seventy passengers, into whose ears the drowning water rushed before the sound of arrested music and joy had died away. " Direction of the force or forces producing motion." When only one force acts on a body, the body obeys in the exact direction of the force. A ball floating in water, or lying on smooth ice, is driven exactly south by a wind blowing to the south. A bullet issues from the mouth of a cannon, in the direction of the axis of the cannon-which is, as the force impels it. When two or more forces, not in the same direction, act upon a body at the,same time, as it cannot move two ways at once, it holds a middle course between the directions. This course is called the resulting direction, viz., resulting from the composition of the forces..A ball or ship moving south by a direct wind, may, at the same time, be carried east, just as fast, by a tide or current moving east; every instant, therefore, it will go a little south and a little east, and really will describe a middle line pointing south.east. These particulars may be well represented on paper, as by fig. 3: where b is the original place of the ball or ship, e the east, s the south, and b a the middle line pointing to the south-east, Fig. 3. and showing the true course of the vessel. This figure is called the parallelogram of forces, and is an important help to the understanding of many facts in natural philosophy.. The minute investigation of the subject belongs to the science of measures, or technical mathematics; but the general truths are quite intelligble to common sense, or the mathematics of common experience. When two forces act upon a body, like the wind and 8 a tide in the last example, the result is the same, whether they act together or one after the other. For instance, if the wind drive a vessel one mile south, as from b to s, fig. 3, and immediately afterwards the tide drive it one mile east, as s to a, the vessel will be in the same place at last, viz., at a, as if she had been driven at once south-east, in the line b a, by the simultaneous action of the two. Therefore, by drawing the lines b s and b e to represent the force and direction of the two causes of motion, and by then adding one of them, or an equivalent, to the end of the other as s a to b s, or e a to b e, the square or parallelogram is sketched, of which the middle line or diagonal, as it is called, shows the resultant of the forces, and the true course of the body obeying them. What is thus true of the effect of continued forces like wind and tide is Fig. 4. Fig. 5. Fig. 6. Fig. 7. Odouble lever advantage to break it, that is, to destroy the cohesion at c. Hence, if any such mass anct —--------... -rl be made to project very far, it will be broken off or will fall by its own weight alone. And what I O is thus true of a block supported at one end, is equally true of a block supported at both ends, and indeed of all masses, however supported, and of whatever forms, if they have projecting parts. It is to be observed, also, that masses, like an absolutely perpendicular cliff, which have no projecting or overhanging parts, are still limited, as to size, by the degree of cohesive force among their particles, for the upper part of such a mass tends to crush or break down the lower. A lofty pillar cannot be formed of soft clay. That a large body, therefore, may have proportionate strength to a smaller, it must be still thicker and more clumsy than it is longer: and beyond a certain limit, no proportions whatever will keep it together, in opposition merely to the force of its own weight. This great truth limits the size and modifies the shape of most productions of nature and art;-of hills, trees, animals, architectural or mechanical structures, &c. Hills. Very strong or cohesive material may constitute hills of sublime elevation, with very projecting cliffs and very lofty perpendicular precipices; and such accordingly are seen where the hard granite protrudes from the bowels of the earth, as in the Andes of America, the Alps of Europe, the Himalayas of Asia, and the Mountains of the Moon in Central Africa. But material of inferior strength exhibits more humble risings and more rounded surfaces. The gradation is so striking and constant, from granite mountains, down to those of chalk, or gravel, or sand, that the geologist can often tell the substance of which a hill is composed by observing the peculiarities of its shape. Even in granite itself, which is the strongest of rocks, there is a limit to height and projection; and if an instance of either, much more remarkable than now remains on earth, were by any chance to be produced again, the law which we are considering would prune the monstrosity. The grotesque figures of rocks and mountains, seen in the paintings of the Chinese-or actually formed in minature for the gardens, to express their notions of perfect sublimity and beauty-are caricatures of nature for which originals can never have existed. Some of the smaller islands in the Eastern Ocean, however, and some of the mountains of the chains seen in the voyage towards China, along the coasts of Borneo and Palawan, exhibit, perhaps, the very limits of possibility in singular shapes. In the moon, where the weight or gravity of bodies is less than on earth, on account of her smaller size, mountains of a given material might be many times higher than on earth- and observation proves that the lunar mountains are in fact very high. STRENGTH OF MATERIAL. 121 By the action of winds, rains, currents, and frosts, upon the mineral masses around us, there is unceasingly going on an undermining and wasting of supports, so that every now and then immense rocks, or almost hills, are torn by gravity from the station which they have held since the earth received its present form, and fall in obedience to the law now explained. The size of vegetables, of course, is obedient to the same law. We have no trees reaching a height of three hundred feet, even when perfectly perpendicular, and sheltered in forests that have been unmolested from the beginning of time: and oblique or horizontal branches are kept within comparatively narrow limits by the great strength required to support them. The truth, that to have proper strength, the breadth or diameter of bodies must increase more quickly than the length, is well illustrated by the contrast existing between the delicate and slender proportions of a young oak or elm, yet in the seedman's nursery, and the sturdy form of one which has braved for centuries all the winds of heaven, and has become the monarch of the park or forest. Animals furnish other interesting illustrations of this law. How massive and clumsy are the limbs of the elephant, the rhinoceros, the heavy ox, compared with the slender forms of the stag, antelope, and greyhound! And unless the bones were made of stronger material than now, an animal much larger than the elephant would fall to pieces owing to its weight alone. The whale is the largest of animals, but feels not its enormous weight because lying constantly in the liquid support of the ocean. A cat may fall with impunity from a greater height than would suffice to dash the bones of an elephant or an ox to pieces. For the reason which we are now considering, the giants of the heathen mythology could not have existed upon this earth; although, on our moon, where, as already stated, weight is much less, such beings might be. In the planet Jupiter, again, which is many times larger than the earth, an ordinary man from hence would be carrying in the simple weight of his body a load sufficient to crush the limbs which supported him. The phrase a little compact man, points to the fact that such a person is stronger in proportion to his size than a taller man. The same law limits the heighth and breadth of architectural structures. In the houses of fourteen stories, which formerly stood for protection close under the Castle of Edinburgh, there was danger of the superincumbent wall crushing the foundation. Roofs. Westminster hall approaches the limit of width that is possible without either very inconvenient proportions or central supports; and the dome of the church of St. Peter in Rome is in the same predicament. Arches of a bridge. A stone arch, much larger than those of the magnificent bridges in London, would be in danger of crushing or splintering its material. Ships. The ribs or timbers of a boat have scarcely a hundredth part of the bulk of the timbers of a ship only ten times longer than the boat. A ship's yard of ninety feet contains, perhaps, twenty times as much wood as a yard of thirty feet, and even then is not so strong in proportion. If ten men may do the work of a three-hundred-ton ship, many more than three times that number will be required to manage a ship three times as large. Very large ships, such as the two built in Canada, in the year 1825, which carried each nearly ten thousand tons of timber, are weak from their size alone; and the loss of these first, two specimens of gigantic magnitude will not encourage the building of others. 122 MECHANICS. The degree in which the strength of structure is dependent on the form and position of their parts, will be illustrated by considering the two cases of longitudinal and transverse compression. And the rule for giving strength to any structure will be found to be, to cause the force tending to destroy it, to act, as equally as possible, on the whole resisting mass at once, and with as little mechanical advantage as possible. In longitudinal compression, as produced by a body a, on the atoms of the support b, the weight, while the support remains straight, can only destroy the support, by crushing it in opposition to the repulsion and impenetrability of all its atoms. Hence a very small pillar, if Fig. 65. kept perfectly straight, supports a very great weight; but a pillar originally crooked, or beginning to bend, resists with only part of its strength; for, as seen in c d, the whole weight above is supported chiefly on the atoms of the concave side, which are therefore in greater danger of being oppressed and crushed, while those on the convex side, separated from their natural helpmates, are in the opposite danger of being torn asunder. The atoms near the centre in such a case are almost neutral, and might be absent without the strength of the pillar being much lessened. Long pillars or supports are weaker than short b I _ pillars of the same diameter, because they are ____-_ -U more easily bent; and they are more easily bent i~ -~ ----' because a very inconsiderable, and therefore easily effected yielding between each adjoining two of their many atoms, makes a considerable bend in the whole; while in a very short pillar there cannot be much bending without a great change in the relation Fig. 66. of proximate atoms, and such as can be effected only by great force. The weight resting on any pillar, and bending it, may be considered as acting (with obliquity dependent on the degree of bending) at the end of a long lever which reaches from the extremity to the centre of the pillar, against the strength resisting always c e A!,,l-.-. ~. idirectly at a short lever reaching from the side d to the centre; the strength of the pillar, therefore, has relation to the difference between these levers and to the degree of bending. Shortness, then, or any stay or projection as a e b, which, by making the resisting lever longer, opposes bending, b fl _ _ t really increases the strength of a pillar. X` PA column with ridges projecting from it, is on this account stronger than one that is perfectly smooth. A hollow tube of metal is stronger than the same quantity of metal as a solid rod, because its substance standing farther from the centre resists bend STRENGTH OF MATERIAL. 123 ing with a longer lever. Hence pillars of cast-iron are generally made hollow, that they may have strength with as little metal as possible. In the most perfect weighing-beams for delicate purposes, that there may be the least possible weight with the required strength, the arms, instead of being of solid metal, are hollow cones, of which the substance is not much thicker than writing paper. Masts and yards for ships have been made hollow in accordance with the same principle. In Nature's work we have to admire numerous illustrations of the same kind. The stems of many vegetables, instead of being round externally, are ribbed or angular and fluted, that they may'have strength to resist bending. Many also are hollow, as corn-stalks, the elder, the bamboo of tropical climates, &c., thereby combining lightness with their strength."-A person who has visited the countries where the bamboo grows, cannot but admire the almost endless uses to the inhabitants, which its straightness, lightness and hollowness, fit it to serve. Being found of all sizes, it has merely to be cut into pieces of the lengths required for any purposes, and nature has already been the turner, and the polisher, and the borer, &c. In many of the Eastern Islands it is the chief material, both of the dwellings, and of the furniture; there are the bamboo huts and bungallows, and then the fanciful chairs, couches, beds, &c.; flutes and other wind instruments there, are merely pieces of the reed with holes bored at the requisite distance: conduits for water are pipes of bamboo; bottles and casks for preserving liquids are single joints of larger bamboo with the natural partitions remaining; and balnboo split into threads is twisted into rope, &c. From the animal kingdom also we have illustrations of our present subject:-as in the hollow stiffness of the quills of birds; the hollow bones of birds; the bones of animals generally-strong and hard, and often angular externally, with light cellular Lexture within, &c. Transverse Pressure. When a horizontal beam is supported at its extremities, as at a and b, Fig. 67. its weight bends its middle down more e or less, as here shown, the particles on the upper side being compressed, while the parts below are distended; fh and the bending and tendency to break are greater, according as the beam is longer and its thickness and depth is less. The danger of breaking in a beam, so situated is judged of, by considering the destroying force as acting by a long lever reaching from an end of the beam to the centre, and the resisting force or strength as acting only by a short lever from the side d to the centre: while only a little of the substance of a beam on the under side is allowed to resist at all. This last circumstance is so remarkable, that the scratch of a pin on the under side of a plank resting, as here supposed, will sometimes suffice to begin the fracture. Because the resisting lever is small in proportion as the beam is thinner, a plank bends and breaks more readily than a beam, and a beam resting on its side bears less weight than if resting on its edge. Where a single beam 124 MECHANICS. cannot be found deep or broad enough to have the strength required in any particular case, as for supporting the roof of a house, several beams are joined together, and in a great variety of ways, as is seen' in house-rafters, &c., which although consisting of three or more pieces, may be considered as one very broad beam, with those parts cut out which would contribute least to the strength. The arched form, resting against immoveable abutments, bears transverse pressure so admirably because by means of it the force that would destroy, is made to compress not one side only, but all the atoms or parts of both sides nearly in the same degree. By Fig. 68. comparing this figure with the last, d we see that the atoms on the under side of an arch, must be compressed about as much as those on the upper u side, and are therefore in no danger of being torn, or overcome separately. The whole substance of the arch therefore resists, nearly like that of a straight pillar under a weight, and is nearly as strong. An error, which has been frequently committed by bridge-builders, is the neglecting to consider sufficiently the effect of the horizontal thrust of the arch on its piers. Each arch is an engine of oblique force (see page 56,) pushing the pier away from it. In some instances, one arch of a bridge falling, has allowed the adjoining piers to be pushed down towards it, by the thrust, no longer balanced, of the arches beyond, and the whole structure has given way at once like a child's house or bridge built of cards. It is not known at what time the arch was invented, but it was in comparatively modern times. The hint may have been taken from nature, for there are instances in Alpirie countries of natural arches, where rocks have fallen between rocks, and have there been arrested and suspended, or where burrowing water has at last formed a wide passage under masses of rock, and has left them balanced among themselves as an arch above the stream. Nothing can surpass the strength and beautypf some modern stone bridges; -those, for instance, which spans the Thames as it winds through London. Iron bridges have been made with arches twice as large as those of stone; the material being more tenacious and easily moulded, is calculated to form a lighter whole. The bridge of three fine arches lately built between the city of London and Southwark, is a noble specimen, and compared with those erected in the preceding century, appears almost a fairy structure of lightness and grace. The great domes of churches, as those of St. Peter's in Rome and St. Paul's in London, have strength on the same principle as simple arches. They are in general strongly bound at the bottom with chains and ironbars, to aid the masonry in counteracting the horizontal thrust of the superstructure. The'Gothic arch is a pointed arch, and is calculated to bear the chief weight on its summit or key-stone. Its use, therefore, is not properly to span rivers as a bridge, but to enter into the composition of varied pieces of architecture. With what effect it does this, is seen in the truly sublime Gothic structures which still adorn so many parts of Europe. The following are instances, in smaller bodies, of strength obtained by the arched form.-A thin watch-glass bears a very hard push; a dished or arched wheel for a carriage is many times stronger to resist all kinds of shocks than a perfectly flat wheel; —a full cask may fall with impunity, where a STRENiTH OF MATERIAL. 125 strong square box would be dashed to pieces; —a very thin globular flask or glass, corked and sent down many fathoms into the sea, will resist the pressure of water around it, where a square bottle, with sides of almost any thickness, would be crushed to pieces. XWe have, from the animal frame, an illustration of the arched form giving strength, in the cranium or skull, and particularly in the skull of man, which is the largest in proportion to its thickness:-the brain required the most perfect security, and in the arched form of the skull has obtained it with little weight.-The common egg-shell is another example of the same class: what hard blows of the spoon or knife are often required to penetrate this wonderful defence of a dormant life! The weakness of a similar substance not arched, is seen in a scale from a piece of freestone so readily crumbling between the fingers. To determine, for particular cases, the best forms and positions of beams and joists, and of arches, domes, &c., is the business of strict calculation, and belongs therefore to mathematics, or the science of measures. It was a beautiful problem of this kind, which Mr. Smeaton, the English engineer, solved so perfectly, in the construction of the far-famed Eddystone light-house. He had to determine the form and dimensions of a building, which would stand firm on a sunken rock, in the channel of a swift ocean tide, and exposed to the fury of tempests from every quarter. Only the man who has himself been driven before the irresistible storm in the darkness of night, and in the midst of dangers, and whose eyes have watched the steady ray from the light-house which saved him, can appreciate fully the importance of the studies which bring such useful results; or can feel how happy he is to have fellow-men, whose talents, although exerted usually for individual good, are yet, by God's providence, made to accomplish the most philanthrophic ends, and to bind the whole of human kind into one great society of helping brotherhood. [For Animal and Medical Mechanics, see Part V. Sect. 1.] 126 HYDROSTATICS. ]PART III. THE PHENOMENA OF FLUIDS.* SECTION I.-HYDROSTATICS. ANALYSIS OF THE SECTION. The particles of a fluid mass are freely moveable among one another, so as to yield to the least disturbing force; and if bearing force at all, can be at rest only when equally forced in all directions. Hence: 1. In a mass of fluid submitted to compression, the whole is equally affected, and equally in all directions. A given pressure, for instance, made by a plug forced inwards upon a square inch of the surface of a fluid filling a vessel, is suddenly communicated to every square inch of the vessel's surface, however large, and to every inch of the surface of any body immersed in the fluid. 2. In any fluid, the particles that are below bear the weight of those that are above, and there is, therefore, within the mass, a pressure increasing exactly with the perpendicular depth, and not influenced by the size, or shape, or position of the containing vessel. 3. The open surface of a fluid is level; and if various pipes or vessels communicate with each other, any fluid admitted to them will rise to the same level in all. 4. A body imlmersed in a fluid displaces exactly its own bulk of it, which quantity having been just supported by the fluid around, the body is pressed upwards, or supported, with a force exactly equal to the weight of the fluid displaced, and must sink or swim according as its own weight is greater. or less than this. By compgring, therefore, the weight of a body with the force which holds it up in a fluid, the comparative weight or specific gravities are found. " Fluid." It was explained in Part I., that the same atoms may exist in the form of a solid or of a fluid; and as a fluid, they may either constitute a dense liquid like water, or a light elastic mass like air. A pound of ice, or a pound of water, or a pound of steam, differs only in the particles being more or less distant from each other, owing to the different quantities of heat among them. In the ice, they are comparatively near, and are held together by attraction, as if they were spitted or glued to each other; in the water, the repulsion of heat seems nearly to balance attraction, and to leave the particles at liberty to glide about among each other almost without * Read again the Synopsis, page 20. FLUIDS. 127 friction; and in the steam, the repulsion altogether overcomes the attraction, and the particles separate to a great distance, as if held apart by some bulky elastic medium. The few facts not evidently reconcilable with the simple and satisfactory explanation of so many phenomena,-as that water in freezing, and even in cooling down from forty degress to the freezing point, increases in volume, instead of contracting, like things'in general, and like itself in cooling at other temperatures, —and that baked clay, in proportion as it is more heated, contracts instead of dilating,-are treated of in other parts of our work. Whether matter be in the solid or fluid form, the properties of the individual atoms remain unchanged, that is, the atoms always exist in accordance with the "general truths;" but as, in the chapter on Mechanics, we found so many important modifications of effect produced by the circumstance of the attraction being in the degree which produces solid cohesion among the particles, in this chapter on fluids we shall find as many important results springing from the circumstances of non-cohesion or fluidity. In a liquid the particles, although comparatively near to one another, seem not to be in actual contact; for the mass may be condensed indefinitely by pressure. The force required, however, to change the volume of a liquid in any sensible degree, is so great, that until improved means of experiment, recently contrived, liquids were accounted absolutely incompressible. In aeriform fluids, on the contrary each particle, under common circumstances, has about two thousand times as much space to itself as when forming part of a liquid or solid; and hence it is that these fluids are so extensively compressible and dilatable-or elastic, as they are called. On account of this elasticity, they exhibit so many important phenomena, in addition to those of mere fluidity, that the consideration of them requires to be gone into apart, and forms the branch of the subject called pneumatics, from a Greek word, signifying " spirit" or " breath!" " In a quantity of fluid submitted to compression, the whole mass is equally affected, and similarly in all directions. A given pressure, therefore, made upon an inch of the surface of a fluid confined in a vessel, as by a plug forced inwards, is suddenly borne by every inch of the surface of the vessel, however large, and by every inch of the surface of any body immersed in the fluid." This truth is of great importance, both from its explaining so many remarkable phenomena of nature, and from the useful applications of it in the construction of machinery. When a man compresses in his hands a bladder full of air, he readily conceives that the air immediately under his fingers is not at all more compressed than that in every other part of the bladder; and of course that every part of the bladders's surface must be pressing the air as much as those parts of it on which his fingers rest, and must be bearing a reaction or resistance of the air in an equal degree; and that every single particle of air must be acted upon equally on every side, so that if a small opening were made in the bladder anywhere, the air would issue from it with equal readiness. This is in accordance with the characteristic of fluidity, c" that the particles glide about among one another almost without friction, so that a particle can never be at rest unless when equally urged in all directions." 128 Y DROS T A TI CS. In like manner, if a close vessel B be filled with water, and into the top of it a tube a c be screwed, and if then, by means of Fig. 69. a cork or moveable plug in the tube at c, the surface of the water in the vessel be pressed upon with a a!. Ne force of one pound, the water throughout the whole I I.., will be squeezed or condensed in proportion to the i:. ii pressure, and every other portion of the vessel B3,. of equal surface with c, will be keeping up the conIIj.,,, densation just as much as c, and will be bearing the'resistance or elasticity of the water to the extent of -B one pound. And if there were another similar tube, b, also with a plug, screwed into the top of the box B, the force of one pound depressing the plug c would be pushing up the plug b, with the same force. And if there were many other similar tubes and plugs, by acting on one, all would be equadly affected; and a plug or piston of double size would be twice as much afected as the smaller one; and a plug d, of ten times the size, would b2 lifted with a force of ten pounds. Hence it appears that, through the medium of confined fluid, a force of one pound, acting upon an inch square of the fluid surface in a vessel, may become a bursting force of ten, or a hundred, or a thousand pounds, according to the size of the vessel, or may be used as a mechanical power to overcome a force much more intense than itself. It will be explained below that the well-known hydrostatic press is merely a large plug or piston as here described, forced up against the substance to be pressed by the action of a smaller piston in another barrel. If, in the above figure, the tube a were such as to contain just one pound of water, on the plug c being withdrawn from it, and water being poured in to fill it, the same pressure or condensation would take place in the box B as when the plug was pressed with the force of one pound; and of course exactly the same effects would follow on the sides of the vessel and on the other pistons; and if, in the other tubes also, water were substituted for the pistons, it is evident that, to effect a balance in all, it would require to stand as high in every one as in the tube a c, producing the same level in all, whatever their size. The fact that the weight of one pound of water, or any Fig. 70. other force of one pound similarly applied, may be made, through the medium of extended fluid surface to produce a b pressure of hundreds or of thousands of pounds, has been called the "hydrostatic paradox," yet there is nothing in reality more paradoxical in it than that one pound at the long end of the lever should balance ten pounds at the short end: indeed it is but another means, like the contrivances usually called mechanical powers, and described in the last chapter, of balancing different intensities of force, by applying them to parts of an apparatus moving with different velocities. Here the tube a being ten times smaller than the tube e, the c -piston a must descend ten inches to raise the greater piston in e one inch. This law of fluid pressure is rendered very striking in the o experiment of bursting a strong cask by the weight or action of a few ounces of water. Suppose a cask a already filled with water, and that a long small tube b c is screwed tightly into its top, which tube will contain only a few ounces of FLUIDS. 129 water; by pouring these few ounces into the tube, the cask will be burst. In explanation it is unnecessary to say more than that if the tube have an area of a fortieth of an inch, and contain, when filled, half a pound of water, that water would produce a pressure of half a pound upon every fortieth of an inch all over the interior of the cask, or nearly 2,000 lbs. on the square foot, —a pressure greater than a common cask can bear. A similar effect is seen in what is called the hydrostatic bellows. This consists of a long small tube a b, into which water is poured to enter the body of the apparatus at c, which resembles the common bellows, in having wooden boards above and below, and strong leather connecting them. If the tube a b holds an ounce of water, and has itself only one-thousandth bf the area of the top of the bellows, an ounce of water in it will balance weights of a thousand ounces placed on the top of the bellows at d. If mercury were substituted in this machine for water, the effect would be fo]rteen times greater, because mercury is fourteen Fig. 71. times heavier in the same bulk. And if a man stand on a large bellows of the kind, he may raise himself by blowing into the tube with his mouth. a The annexed cut will give an idea of Mr. Braham's singularly powerful and useful hydrostatic or hydraulic press; which, if compared with the bellows, exhibits merely a strong forcing pump instead of the lofty tube, and a barrel with its piston instead of the leather and boards. The letter e points out the piston of the forcing pump worked by the handle d, and driving water along the horizontal tube into the space f under the large solid piston c, which last, with its b spreading top, is urged against the object to be compressed. If the small pump have only one-thousandth c of the area of the large barrel, and if a man by means of its lever-handle d, press its piston down with a force of five hundred pounds, the piston of the great barrel will rise with a force of one thousand times five Fig. 72. hundred pounds, or more than two hundred tons, Scarcely any resistance can withstand the power of such a press; with it the hand of an infant can break a strong iron bar; and b it is used to condense substances, as cotton a or hay for sea voyages, to raise great weights, e S to uproot trees, to tear things asunder, &c. The Dilater is a surgical instrument of extensive applicability, of which the action depends on the principle of the communication of fluid pressure. It was proposed by-the author some years ago, and was brought to great practical perfection by his brother Dr. James Arnott, (now superintendent surgeon in the service of the Hon. East India Company,) in whose publication it is minutely treated of. Many professional men in this country doubted of its power, from not being aware of the nature of fluid nature; but it is in reality a kind of hydraulic press, allowing the operator to act with the most gentle or most energetic force. Further remarks are made upon it in the medical section which follows this chapter. 9 130 HYDROSTATICS. "In any fluid, the particles that are below, bear the weight of those that are above, and there is therefore a pressure among them increasing in, exact proportion to the perpendicular depth, and not influenced by the size, or shape, or position of the containing vessels." The atoms of matter having gravity, it is evident that the upper layer of any mass of fluid must be supported by the second, and this with its load by the third, and the third with its double load by the fourth, and so on. This truth is experimentally proved by putting different heights of liquid into an upright tube, of which the bottom is closed by a flap having a spring or lever to support it, and to indicate the force acting on it. And what is true of the entire column of water in the tube, may be considered true of any single line of atoms; just as it would be true of a line of bricks piled one above another. A tube of which the area is an inch square, holds, in two feet of its length, nearly a pound of water; hence, the general truth, well worth recollecting, that the pressure of water, at any depth, whether on the side of a vessel or on its bottom, or on any body immersed, is nearly one pound on the square' inch for every two feet of depth. The striking effects from the increase of pressure in a fluid, at great depths, are, of course, most commonly exhibited at sea. The following instances will illustrate them. If a strong square glass bottle, empty, and firmly corked, be sunk in water, its sides are generally crushed inwards by the pressure before it reaches a depth of ten fathoms. A chamber of air similarly let down with a man it, would soon allow him to be drowned by the water bursting in upon him; as really happened to an ignorant projector. When a ship founders in shallow water, the wreck, on breaking to pieces, generally comes to the surface, and is cast upon the beach; but when the accident happens in deep water, the great pressure at the bottom forces water into the pores of the wood, and makes it so heavy that no part can ever rise again to reveal her fate. A bubble of air or of steam, set at liberty far below the surface of water, is small at first, and gradually enlargens as it rises. A man who dives deep, suffers much from the compression of his chest, as the elastic air within him yields under the strong pressure. This limits the depth to which divers can safely go. It is not known whether there is a limit to the pressure which fishes can bear to impunity, but they are chiefly found living in the shallower waters on coasts, or on banks in the midst of the ocean, such as the banks of Newfoundland, the Dogger-bank, and other fishing stations out at sea. In rounding the Cape of Good Hope, at a considerable distance from land, ships pass over the bank of Lagullas, where a hook let down with a bit of red rag, or almost any thing as a bait, immediately secures its codfish. By sending a vessel prepared for the purpose, down into the deep sea, we can readily prove the compressibility of water. Suppose the vessel to be made with only one entrance, and that a small round opening, into which, instead of cork, a sliding rod has been closely fitted. If, then, when filled with water, and having the rod inserted into the opening, it be allowed to sink into the sea, the pressure around will push the rod inwards, in a degree proportioned to the yielding or compression of the water within; and if there be on the road a stiff sliding-ring, or other contrivance to indicate on the return of the vessel how far the rod has been driven inwards, the apparatus PRESSURE AS DEPTH. 131 will shdw the degree of compression at the greatest depth to which it has descended. Water a thousand fathoms below the surface is less bulky by about one-twentieth part than when at the surface. The following are proofs of the pressure of weight in an open fluid, operating in all directions, as any pressure does in the case of a confined fluid. A bottle-cork carried far under water, is not flattened as if it were pressed unequally, but is reduced in all its dimensions so as to appear a phial-cork of the usual form. a If a corked empty bottle be sent down into the sea, the cork is generally forced inwards at a given depth, and equally so in whatever direction the mouth of the bottle may happen to point. If a vessel containing water have an opening in the side, covered by a valve or flap so contrived as to tell the force required to keep it shut, we find that the water tends to escape just as powerfully through such an opening as it would through one in the bottom, with the same elevation of water over its centre. And different equal openings in the side of a v6ssel require to be closed with forces exactly proportioned to the heights of liquid above their centres. In an open square sided vessel full of water, the whole pressure on any upright side is just half the pressure on an equal extent of horizontal bottom; for the centre of the side being just half as deep as the bottom, the pressure on any point there is only half as great as on a point at the bottom, and on points above the level of the centre is just as much less than half, as, at corresponding distances below, it is more than half, and so it amnounts to an exact half in the whole. Considering that the pressure on every point below the central level is greater than on every point above it, we see the reason why, to support a sluice or flood-gate by a single stay on the outside, the point at which the pressure has to be made is below the central level. Calculation discovers that this point, called the centre of pressure, is at onethird from the bottom. The knowledge of such facts furnishes rules for the construction of large vessels for liquids, canal embankments, &c. The pressure on a given extent of the side of a narrow vessel is just as great as on the same extent of the side of a wide vessel, having the same depth of fluid; because, as now explained, it depends entirely on the extent of surface acted upon and the depth of liquid. Hence a flood-gate or sluice which shuts out the ocean, as in docks opening to the sea, bears no more pressure than if it stood only against an equal depth of lake or river; or than if it were one of two such flood-gates become the sides of a very narrow vessel, made to contain only a few hogsheads of water. Hence, again, the fear is unfounded which has been expressed with reference to the formation of a canal between the Red Sea and the MIediterranean, —that because the former, owing to the effects of easterly winds at its mouth, &c., is twenty feet higher than the later, it might burst through the flood-gates, and carry devastation along its course. A deep crevice in a rock, when filled by a shower, is often the cause of the rock being torn asunder, and of part being precipitated. Extensive walls or faces of masonry, intended to confine banks of sand or earth, if no openings were left for water to escape from behind them, would be burst after a rain unless they had the strength of flood-gates of the same size. Ignorance of this danger has led to some extraordinary catastrophies. 132 HYDROSTATICS. Other examples of. the pressure in fluids being in all directions, And proportioned to the depth, are:-the swelling and bursting of leaden pipes when filled from a very elevated source i-the tearing up of the coverings of subterranean drains or water courses, when, during a flood, any accident chokes them near their lower openings:-the violence with which water escapes by an opening near the bottom df any deep vessl, or enters by an opening or leak.near the keel of a deep-floating ship: —the great strength required in the lower hoops and securities of those enormous vessels of porter-brewers, called vats, some of which contain many thousand barrels of liquid. In speaking of the pressure of a fluid in all directions, some persons have difficulty in conceiving that there is an upward as well as a downward and a lateral pressure. But if, in a fluid mass, the particles below had not a tendency upwards equal to the weight or downward pressure of the fluid over them, they could not support that fluid, which entirely rests upon them. Their tendency upward is owing to the pressure around them from which they are trying to escape. Accordingly, if a long tube, open at both ends, and with a sliding plug or piston in it near one end, be partially plunged into water by the plugged end, the water is found to press the plug upwards with force proportioned to the depth to which it is carried, and exactly equal to the force with which water presses upon an equal extent of the bottom or side of any other vessel having in it the same depth; or, with which, in the same vessel, it would press other plugs in other branches of the tube projecting in various directions. On removing such a plug altogether, the upward pressure is visibly proved and measured by the column of water pushed into the tube from below, and supported there to the level of the water around. The pressure in a mass of fluid is proportioned to the perpendicular depth, and is not at all influenced by the size, shape or position of the containing vessel. A body immersed in the water of a lake, one foot under the surface is just as much pressed upon as if it were one foot under the surface of the sea, and no more than if it were one foot under the surface of a small cistern. Suppose vessels differing from each other in form and capacity, as sketched here at a, b, and c, but all having flat bottoms, Fig. 73. of exactly the same area; if fluid be poured into all to the same level or perpendicular height, as represented here by the dotted lines, although the quantity be very different in each, the pressure on the bottom will be the same in \b. all. This truth is easily proved experimentally, by having the bottoms moveable, and held to their places by weights or springs capable of measuring the pressure: or by letting the three vessels all communicate with the same vessel of water below them, and then observing that the water in all has still the same level. These results are other exemplifications of the truths, "pressure equal in all directions,"'"pressure as depth," and "pressure as the extent of surface." For as a column of the fluid, resting on the middle of each bottom, just presses with its whole weight, and therefore, according to its altitude, this column could not remain at rest if there were any greater or less pressure than its own near it; then as the fluid really is at rest in all the cases, and in all a central column is of the same height, the pressure must be equal on all the bottoms. The case of the largest vessel a, is in a degree illustrated by FLUID LEVEL. 133 supposing the water in it to be suddenly converted into smooth upright small columns or rods of ice or glass; Then evidently only those pieces which rested on the bottom, could press on it while the others would be supported by the oblique sides of the vessel, and by the lateral resistance of the pieces around them. " Level surface of a Fluid." (Read the Analysis.) That the surface of a fluid must be level, follows from the facts of all the particles being equally attracted towards the centre of the earth, and being perfectly moveable among themselves. The particles forming the surface may be regarded as the tops of so many columns of particles, supported at any given level below, by a uniform resistance of pressure;-for no particle of an inferior level can be at rest unless equally urged in all directions, and therefore all the particles at such a level, and which, by equally urging one another, keep themselves at rest, must all be bearing the weight of equal columns: thus a higher column must sink and a lower one must rise, until just balanced by those around; that is, until all become alike. Besides, just as a ball rolls down a slope or inclined plane, so do the particles of a fluid slide or move from any higher situation among themselves to any lower'unoccupied situation near them. The account now given explains why any accidental elevation or depression of a fluid surface, usually called a wave, continues to rise and fall, or to oscillate, for some time with gradually diminishing forces;-for when the mass is raised above the general level it is not quite supported, and therefore soon sinks, but in sinking, like, a falling pendulum, it acquires momentum which carries it below the general level, until opposed and arrested by a resistance greater'than its weight, it then rises again, by acquiring a new momentum in its rise, it has to fall again, again to rise, and this alteration continues, until the lateral sliding of the particles, and the friction among them, gradually destroy it. A perfectly level surface on earth really means one in which every particle is equi-distant from the centre of the earth, and it is therefore truly a spherical surface; but so large is the sphere, that if a slice of it of two miles in diameternwere cut off, and laid on a perfect plane, the centre of the slice would only be four inches higher than the edges. Any small portion of it, therefore, for all common purposes, may be accounted a perfect plane. So truly smooth does a fluid surface become, that it forms a perfect mirror; that is, it reflects or throws back the rays of light, which fall upon it so exactly in the order which they had on leaving the object, that an eye which receives them may fancy the object to be placed in the direction of the mirror. —It was over the glassy surface of the fountain or -the lake, that the shepherdess of the young world bent themselves, to learn the charms which nature had bestowed on them. And a child contemplates with wonder and delight, through the window of a still pool or gliding stream, another sky below the ground, with its cloulds, and sun or stars; and another landscape, with inverted wood and mountains, the supposed dwelling of fairy beings. In the cutting of canals, the making of railways, and in many other ope. rations of engineering, it is of essential importance to determine the level or horizontal direction at any Fig. 74. place; and this is usually done by a tube or glass, a c, filled with spirit except one bubble of air b, C _ C and called a spirit level. When this tube is horizontal, the bubble has no tendency to move to either 134 HYDROSTATICS. end; but if the tube inclines ever so little, the bubble rises to the end which is highest; or to speak more correctly, the denser spirit falls down to the lower end, and forces the light bubble away from it. Such a tube properly fixed in a frame, with a telescope attached to it, or simply with sight-holes to look through, becoming the engineer's guide in many of his most important operations. A hoop surrounding the earth would bend away from a perfectly straight line four inches in a mile. In cutting a level canal, therefore, which may be considered as part of a hoop, there must be everywhere a falling from the straight line, called by geometers a tangent, in the proportion now described. All rivers also have the curvature of hoops applied to the surface of the earth. Canals leading from sea-ports to the interior of countries have generally to ascend; but as water cannot become stagnant in any channel which is not level, the canal is divided, by gates or sluices, into portions at different levels, like steps of a stair, the rising at the joinings being generally from six to twelve feet. The boats are raised or lowered from one level to another by the contrivance called a lock, which is merely a portion of the canal, of sufficient capacity for the boat to lie in, furnished with high walls, and with flood-gates at both ends; so that when the gates below are'shut, and water is gradually admitted from above, it becomes part of the high level, ready as such to deliver a boat, or receive one; and when the upper flood-gates are shut, and the water is gradually allowed to escape from the lock, it becomes a part of the low level, and a boat may enter it, or leave it by its lower gates. The cutting of canals is one of the great items in the mass of modern improvement, which both mark and.hasten the progress of civilization. Adverting to the importance of easy intercouse, as explained in a former section, we need only say here, that a horse which can draw only one ton on our best roads, can draw thirty with the same speed in a canal-boat. And what a glorious triumph to science and art it is, tobe able to conduct vessels of all kinds, even those originally intendedl for the ocean surge alone, through the quiet valleys of an interior country! In Scotland,.now, along the Caledonian canal, a noble frigate may be seen, wandering as it were among the inland solitudes, and displaying her grace and majesty to the astonished gaze of the mountain shepherd; and when she has traversed the kingdom, and visited the lonely lakes, whose waters until lately had borne only the skiff of the hunter, she descends again by the steps of her liquid stair, and safely resumes her place among the waves. It was lately in contemplation to lead a ship canal across the isthmus which joins North and South America. The elevation to which the canal must reach, to surmount the central ridge, is considerable, and will increase the difficulty; but such important consequences would follow the accomplishment of the object, that, with the continuance of general peace, and the increase of political wisdom, it will probably be attained. If so, the loaded vessel, rising from the Atlantic, would soon be descried among the mountain heights, and, a few hours after would be safely lodged in a port of the oppo. site sea; having performed, by a near cut, a voyage which at present costs months of delay and hazard, in.a tedious navigation round the whole southern continent.-And if the Red Sea and Mediterranean were joined in the same way, as has also been proposed, the operation would, in effect, bring India nearer to Europe, and would more and more strengthen the bonds of mutual utility and brotherhood among the nations of the earth. Then, indeed, might FLUID LEVEL. 135 it be said with truth, that the world is a vast garden, given to man for his abode, of which every spot has its peculiar sweets and treasures; but because the cultivator of each may exchange a share of its produce for shares in return, the same general result follows as if every field or farm contained within itself the climates and soils and capabilities of the whole. In a canal, the least deviation from the true level would immediately cause any water admitted into it to flow towards the lower end. This flux to a lower situation is what is going on in the myriads of streams, which render the face of the earth a scene of such varied beauty and incessant change. As in the animal body, from every the minutest point a little vein endowed with living power, takes the blood which has just brought life and nutriment to the part, and delivers it into a larger vein, whence it passes into a larger still, until at last, in the great reservoir of the'heart, it meets the blood returned from every part of the body, so, in this terraqueous globe, where the magic moving power is simply fluid seeking its level, does the rain which falls to sustain vegetable and animal life, and to renovate nature, glide from every point of the surface into a lower bed, and from thence into a lower still, until the countless streams, so formed, after every variety of course combine to form the swelling rivers, which return the accumulated waters into the common reservoir of the ocean. In the living body, the arteries carry back the blood with renewed vitality to every point whence the veins had withdrawn it, and so complete the circulation; and in what may be called the living universe, the circulation is completed by the action of heat and of the atmosphere, which, from the extended face of the ocean raise a constant exhalation of watery vapour of invisible purity, which the winds then carry away and deposit as rain or dew on every spot of the earth. A very slight declivity suffices to give the running motion to water. Three inches per mile, in a smooth straight channel, gives a velocity of about three miles per hour. The Ganges, which gathers the waters of the Himalaya mountains, the loftiest in the world, is, at eighteen hundred miles from its mouth, only eight hundred feet above the level of the sea-that is, above twice the height of St Paul's Church in London; and to fall these eight hundred feet, in its long course, the water takes nearly a month. The greater river Magdalena, in South America, whose channel, for a thousand miles, is between two ridges of the Andes, falls only five hundred feet in all that distance. Above the commencement of the thousand miles, it is seen descending in rapids and cataracts from the mountains. The gigantic Rio de la Plata has so gentle a descent to the ocean, that, in Paraguay, fifteen hundred miles from its mouth, large ships arrive which have sailed against the current all the way, by the force of the wind alone: that is to say, which on the beautifully inclined plane of the stream, have been gradually lifted by the soft wind, and even against the current, to an elevation greater than that of our loftiest spires. A small lake or extensive mill-pond, with uneven bottom, if suddenly emptied by a sluice or opening at its lowest part, would exhibit a number of pits or pools of various size and shape left among the inequalities. But supposing rain to fall, and frequently to recur, the water seeking its level would soon effect a very. remarkable change. In consequence of each pool discharging over its lowest part, that is, sending out a streamlet either into another lower pool, or into a channel leading directly to the sluice or opening, there would be a constant wearing down of the part or side of the pool over which the water was running, that is to say, a deepening of a breach or channel there, and the surface of water in the pool would be consequently becoming 136 HYDROSTATICS. lower, while, at the same time, the bottom would be rising, owing to the deposit of sand or mud washed down by the rain from the elevations around: and these two operations continuing, the pool would at last altogether disappear. And by this change going on in every pool through the whole of the emptied mill-pond, the general bottom would at last exhibit only a varied or undulated surface of dry land, with a beautiful arrangement of ramifying water channels, all sloping with a precision unattainable by art, to the general mouth or estuary.-The reason that, in the supposed case, and in every other, a water course soon becomes so singularly uniform, both as to dimensions and descent, is, that any pits or hollows in it are filled up by the sand and mud carried along in the stream, and deposited where the current is slack; while any elevations are worn away by the action of the more rapid current which accompanies shallowness. The above paragraph describes, in miniature, what has been going on over the general face of our earth ever since that convulsion of nature which produced its present form. In many places the phenomenon is already complete; in others it is only in progress. The whole of what is now dry land, has at some period been under water, and much of it has evidently been a gradual deposition from water. By some extraordinary convulsion, therefore, our present continents and islands must have been thrown up from the bottom of an ocean, or In ocean must have.subsided away from them; and in either case the land must have merged as checkered and unsightly as the bottom of the emptied lake above supposed. And it is the gradual operation of water seeking its level which has at last converted the earth into the paradise which we now behold. The marks of the former state of the world, and of the progressive change, are every where most strikingly evident to the enlightened eye of philosophy. The present kingdom of Bohemia, for instance, is the bottom of one of the great lakes formerly existing over Europ.e. It is a basin or amphitheatre, formed by a wall of mountains, and the only gate or opening to it, is that remarkable one by which the water now escapes from it, and which evidently has been gradually cut or formed by the action of the running stream. As the bottom became uncovered, owing to the sinking of the water, and the formation of a regular sloping channel from every part, the former lake was converted into a fine and fertile country, a fit habitation for man; and the continued drain from it of the rains which fall over its surface, and either pass rapidly away, or sink into the earth, and ooze again more gradually in the form of springs, is the beautiful river which we now call the Elbe. In Switzerland, many of the valleys which were formerly lakes, have the opening for the exit of water so narrow, that, as happened in one of them a few years ago, a mass of snow or ice falling into it, converts the valley once more into a lake. On the occasion alluded to, the accumulation of water within was very rapid; and although, from the danger foreseen to the country below, if the impediment should suddenly give way, every means was tried to remove the water gradually, the attempt had not succeeded when the frightful burst took place, and involved the inferior country in common ruin.'The magnificent Danube is the drain of a chain of basins or lakes, which must, at one time, have discharged or run over one into another; but owing to the continued stream cutting a passage at last low enough to empty them all, they are now regions of fertility, occupied by civilized man, instead of the fishes which held them formerly. This operation is still going on in all the lakes of the earth. The lake of Geneva, for instance, although con FLUID LEVEL. 137 fined by hard rock, is lowering its outlet, and the surface has consequently fallen within the period of accurate observation and records; and as, at the same time, the wearing of the neighbouring mountains, brought down by the winter torrents, are filling up its bed, if the town of Geneva last long enough, its inhabitants may have to speak of the river in the neighbouring valley, instead of the picturesque lake which now fills it. Already several towns and villages, which were close upon the lake a century ago, have fields and gardens spreading between them and the shore. Illustrating this subject, it is very interesting to observe the contrast between the pure blue water of the Rhone issuing from the lake of Geneva, and the turbid streams which join its course a little farther down. The torrents which fall into the lake all around, are equally charged with the debris or wearings of the mountains; but having deposited all their load in the still bosom of the lake, the pure water alone escapes to form the river. The streams, however, coming to the Rhone directly from the Alps, and bringing with 4hem their charge of broken-down earth, even after they have joined it, are long distinguishable by their muddy waters. It is the mud deposited as here described, which is gradually filling up all lakes, and which has formed the vast regions of fiat country seen about the: mouths of great rivers. The greater part of Holland is deposition of this kind, the whole of lower Egypt, a great part of Bengal, &c., &c. There are some lakes on the face of the earth which have no outlet towards the sea,; —all the water which falls into them, being again carried off by evaporation alone-and such lakes are never of fresh water, because every substance, which, from the beginning of time, rain could dissolve in the regions around them, has necessarily been carried towards them by their feeding streams, and there has remained. The great majority of lakes, however, being basins with the water constantly running over at one part towards the sea, although all originally salt, have, in the course of time, become fresh, because their only supply being directly from the clouds, or from rivers and springs fed by the clouds, is fresh, while what runs away from them must always be carrying with it a proportion of any substance that remains dissolved in them. We thus see how the face of the earth has been gradually washed to a state of purity and freshness fitting it for the uses of man, and why the great ocean necessarily contains in solution all the substances which originally existed near the surface of the earth, soluble in water:viz., all the saline substances. The city of Mexico stands in the centre of a vast and beautiful plain, 7,000 feet above the level of the sea, and surrounded by sublime ridges of mountains, many of them snow-capped. One side of the plain is a little lower than the other, and forms the bed of the lake, which is salt for the reasons stated above; —but the lake will not long be salt, for it now has an outlet. About 150 years ago, owing to unusual rains, an extraordinary increase of the water took place, and covered the pavements of the city. An artificial drain was then cut from the plain, at the distance of about sixty miles from the city, to the lower external country. This soon freed the city from the water, and since then, becoming every year deeper by the wearing effects of the uninterrupted stream, it is still lowering the surface of the lake, is daily rendering the water less salt, and is converting the vast salt marshes, which formerly surrounded the city, into fresh and fertile fields. The vast continent of Australasia, or New Holland, (as large as Europe,) is supposed by some to have been formed at a different time from what is called the Old World, so different and peculiar are many of its animal and vegetable productions; and the idea of a later formation receives counte 138 HYDROSTATICS. nance from the existence of immense tracts of marshy or imperfectly drained land discovered in the interior, into which rivers flow, but seem not yet to have worn down a sufficient outlet or discharging channel toward the ocean. Where the soil or bed of a country through which a water-track passes is not of a soft consistence, so as to allow readily the wearing down of higher parts, and the filling up of hollows by deposited sand, lakes, rapids and great irregularities of current remain. We have, for instance, the line of the lakes in North America, the rapids of the St. Lawrence, and the stupendous falls of Niagara, where at one leap the river gains a level lower by a hundred and sixty feet. A softer barrier than the rock over which the river pours, would soon be cut through, and the line of lakes would be emptied. The contemplation of the fact, that water in seeking its level is constantly wearing where it rubs, and carrying the abraided portions down to lower level, and ultimately to the bed of the ocean, brings irresistibly the awful idea, that this earthly abode of ours,.owing to natural causes already in operation, can have but a limited existence in its present state. No shower falls that does not send portions of mountains and plains into the depths of the ocean, and thus cause a corresponding encroachment on the shores by the rising water; and with revolving ages, unless new -convulsions of nature disturb the progress, or art succeed, as in Holland and elsewhere, in shutting out the ocean from extensive low tracts by means of sea dykes or embankments, the dry land must at last disappear, and another gradual deluge embrace the globe. There is, perhaps, nothing which illustrates in a more striking manner the exact resemblance among nature's phenomena, or their accordance with the few general expressions or laws which describe them all, than the perfect level of the ocean as a liquid surface. The sea never rises nor falls in any place, even one inch, but in obedience to fixed laws, and therefore its changes may generally be foreseen and allowed for. For instance, the eastern tradewinds and other causes force the water of the Indian Ocean towards the African coast, so as to keep the Red Sea about twenty feet above the general ocean level; and the Mediterranean is a little below'that level, because the evaporation from it is greater than. the supply of its rivers, causing it to receive an additional supply by the Strait of Gibralter; —but in all such cases, the effect is as constant as the disturbing cause, and therefore can be calculated upon with confidence. Were it not for this perfect exactness, in what a precarious state would the inhabitants exist on the sea shores, and on the banks of low rivers! Few of the inhabitants of London, perhaps, reflect, when standing by the side of their noble river, and gazing on the rapid flood-tide pouring inland through the bridges, that although sixty miles from the sea, the water there is, at the moment, lower than the surface of the sea, which may at the time be heaving moreover, in lofty waves, covered perhaps with wrecks and the drowning. The horrid destruction that would follow any alteration of the level of the ocean, may be judged of by the effects of occasional floods, produced by rains and melting snow in the interior of countries, or by these combined with winds and high tides on the coasts. The flood at St. Petersburg, in 1825, was dreadful, in which strong westerly winds had retarded the flow of the Neva so much, that the water rose forty feet (the height of an ordinary house) above its usual mark, covered all the low parts of the town, and drowned thousands of the people. In Holland, which is a low flat, formed chiefly by the mud and sand brought down by the Rhine and neighboring rivers, much of the country FLUID LEVEL. 139 is really below the level of the common spring-tides, and is only protected from daily inundations by artificial dykes or ramparts, made strong enough to resist the ocean. On one occasion the water broke into such an enclosure, and drowned more than sixty thousand people. What awful uncertainty then would hang over thei existence of the Dutch, if the level of the sea were subject to change; for while.we know that its waters, owing to the centrifugal force or of the earth's rotation, are seventeen miles higher at the equator than at the poles. if the level, as now established, were from any cause to be suddenly changed but ten feet, millions of human beings would be the victims. Where inundation is regularly periodical, as in the Nile and many other rivers, the hurtful effects can be guarded against, and the occurrence may even become useful, by fertilizing the soil. Tracts of land in contact with rivers, of which land, the surface lies be. tween the levels of ebb and flood-tide, if surrounded with dykes, may be kept constantly covered with water, by opening the sluices only at high water; or may be kept constantly drained, by opening the sluices only at low water. A vast extent of rice fields, near the mouths of rivers in India and China, is managed in this way, the admission or exclusion of water being regulated by the age of the rice plant. A great part also of the rich sugar plantations of Demerara, Esequibo, &c., on the coast of South America, are in the saihe predicament; and another advantage which these have over the plantations on the West-India Islands, is the saving of the labour of transport effected by the canals which intersect all the fields. " If various tubes and vesselA communicate with one another, fluid admitted into them will rise to the same level in all." (Read the Analysis, p. 84.) The following sketch may represent a variety of tubes and vessels, fixed upon and opening into the cistern op box G. Water poured into any one would fill the box, and would then rise to the same level in all. The dotted lines from a tof may represent the surfaces of the fluid in the different vessels. In the figure at p. 128, it was seen why, in all upright cylin- Fig. 75. drical vessels, as a, b and c, the fluid b c c e rises to the same level; and the figure at p. 132 explained why shape of the a vessel cannot affect the level. Although in the oblique vessel c, represented here, there is more water than in a,. still there is the same pressure at the bottom of both, because e supports part of the weight of its contained fluid on the principle of the inclined plane. If a tube twenty miles long, and rising and descending among the inequalities of a country, were filled with water, and could have its ends brought together for comparison, it would exhibit two liquid surfaces having precisely the same level; and on either end being raised, the fluid would sink in it to overflow f'm the other. An easy mode of determining a level line at any spot is to have an open tube, bent up at its ends a and b, and nearly Fig. 76. filled with liquid: b-y then looking along the two liquid surfaces, or through floating sights a't J b resting on them, an observer looks in a line which is quite horizontal at the middle point between them. 140 HYDROSTATICS. If there were two lakes on adjoining hills of different heights, a pipe of communication descending across the valley and connecting them, would soon bring them to the same level; or if one were much higher than the other, would empty that one into the other. A projector thought that the vessel of his contrivance, represented here, was to solve the renowned problem of the perpetual motion. It was gobletshaped, lessening gradually towards the bottom until it became a tube, turned upwards at c, and putting with an open extremity into the goblet again. He reasoned thus: A pint of water in the goblet a must more than counterbalance an ounce which the tube b will contain, and must thereFig. 77. fore be constantly pushing the ounce forward into the vessel again, and keeping up a stream or circulation, which will cease only when the water dries up. He b was confounded when a trial showed him the same level always in a and in b. A glass tube inserted near the bottom of a cask or cistern of any sort, not air-tight above, -which tube is then bent upwards, to appear on the outside like a barometer tube, shows by the elevation of a fluid in it, the height of the greater mass of fluid within. In like manner a tube brought from a river into a neighbouring cellar or pit, will indicate the height of water in the river. A knowledge of the truth, that water in pipes will always rise again to the height or level of its source, has enabled men in modern times to construct those admirable systems of iron pipes, which distribute water in great towns. The water brought to any elevated site, in or near the town, may be delivered from a reservoir there, by the effect of gravity alone, to every cistern which is under the level of the reservoir, the result not being affected by the pipes having to rise over heights and to descend into valleys many times in their course. On the hill north of London, on which'Pentonville stands, there is such a reservoir to which water is brought from Hertfordshire, by a channel cut for the purpose, upwards of thirty miles in length, and called the New River. Another reservoir has lately been constructed by the West Middlesex Water Company, at Primrose Hill, higher than any house in town. It is filled by operation of steam-engines at the Company's works, near Hammersmith, five miles off. It will supply water to the summits of all the houses connected with it, and is exceedingly useful in cases of fire. Many persons have believed that the ancients were ignorant of the law, that fluid in pipes rises to the level of its source, because, in all the ruins of their aqueducts, the channel is a regular slope. Some of the aqueducts, as works of magnitude, are not inferior to the great wall of China, or the Egyptian Pyramids; yet, at the - present day, a single pipe of cast-iron is made to answer the same purpose, and even more perfectly. It is now ascertained, however, that it was not ignorance of the principle, but want of fit material for making the pipes, which cost our forefathers such enormous labour. The supply and distribution of water in a large cid, particularly since the steam-engine has been added to the apparatus, approach closely to the perfection of nature's own work in the circulation of blood through the animal body. From the great pumps or a high reservoir, main pipes issue to the chief divisions of the town; these then send suitable branches to the streets, which branches again divide for the lanes and alleys; and at last subdivide FLUID LEVEL. 141 until every house has its small leaden conduit carrying its precious freight, if required, even into the separate apartments, and yielding it anywhere to the turning of a cock A corresponding arrangement of drains and sewers, most carefully constructed in obedience to the law of level, receives the water again when it has answered its purposes, and sends it to be purified in the great laboratory of the ocean. And so admirably complete and perfect is this counter-system of sloping channels, that a heavy shower may fall, and after washing and purifying every superficial spot of the city, and sweeping out all the subterranean passages, may, within the space of an hour, form part of the river passing by. It is the recurrence of this almost miracle, of extensive, sudden, and perfect purification, which makes modern London the most healthy, while it is the largest city in the world. English citizens have now become so habituated to the blessing of a supply of pure water, more than sufficient for all their purposes, that it no more surprises them than the regularly returning light of day or warmth of summer. But a retrospect into past times may still awaken them to a sense of their obligation to advancing art. How much of the anxiety and labour of men in former times had relation to the supply of this precious element! How often, formerly, has periodical pestilence arisen from the deficiency of water; and how often has fire devoured whole cities, which a timely supply of water might have saved! Kings have received almost divine honours for constructing aqueducts, to lead the pure streams from the mountains into the peopled towns. In the present day, it is he who has travelled on the sandy plains of Asia or Africa, where a well is more prized than mines of gold, or who has spent months on ship-board, where the fresh water is often doled out with more caution than the most precious product of the still, or who, in reading history, has vividly sympathized with the victims of siege or shipwreck, spreading out their garments to catch the rain from heaven, and then with mad eagerness, sucking the delicious moisture — it is he who can appreciate fully the blessing of that abundant supply which most of us now so thoughtlessly enjoy. The author of this work will long remember the intense momentary regret with which, at once approaching a beautiful land after months spent at sea, he saw a stream of fresh water gliding over a rock into the salt waves-it appeared to him as if a most precious essence, by some accident were pouring out to waste. The subject of fluid level leads to a consideration of springs or wells, and of the operation of boring for water. The water which falls from the clouds, and which must all ultimately return to the sea, may find its way to the rivers, either by running directly along the surface of soils which refuse it admittance; or by first sinking into porous earth, and again oozing out at lower situations in the form of springs. If a spring be as low as the bottom of the porous earth from which it issues, that is to say, as low as the surface of the impermeable clay or rock on which at some depth all such earth rests, it may drain the whole; but if not, the water will stand at a certain level among the earth as it would among bullets in a water-tight vessel. If a hole or pit be then dug in such earth, reaching below the level of the water lying in it, the pit will soon be filled with water up to the level, and will be called a well. In many places this water-level is very far below the surface of the ground; and in some places, by reason of the water having an easy drainage towards the sea, or of the superficial soil being altogether impermeable to it, there is none to be found within an accessible depth. 142 HYDROSTATICS. A remarkable illustration of this subject occurred a few years ago, in Kent, on the occasion of cutting between Rochester and Gravesend the canal called the Thames and Medway canal. This canal consists of but one cut or level, seven miles long, of which two are in a tunnel through the hill-which level is that of high water in the connected rivers; the intention having been to let the canal be filled always from the rivers at high water;-but as the level of the subterranean water in the surrounding land, and therefore of all the inhabitants' wells there, is, as might be anticipated, half-way between the levels of high and low tides, the salt water from the rivers was no sooner admitted to the canal than it spread into the land on either side, where the resisting internal water-level was lower, and destroyed. all the wells. If the canal had been dug a few feet lower, the mischief would not have occurred, and the company would have escaped paying the heavy damages, which rendered their undertaking a very ungainful speculation. All the wells and springs in the world are merely the rain water which has sunk into the earth, appearing again, and gradually escaping at lower places: nature thus admirably making the bowels of the earth an ever-stored reservoir of the substance most indispensable to the comfort and existci ce of man, and of all living creatures. It is worthy of remark here, that high cultivation or agricultural improvement of a country has a great effect on the quantity of spring water in it. While the face of a country is rough the rain-water remains long among its inequalities, slowly sinking into the earth to feed the springs, or slowly running away from the surface as from bogs and marshes towards the rivers. The rivers, hence, have a comparatively uniform and regular supply, even when rain has not fallen for a long time:-but in a well-drained country, the rain, by a thousand prepared channels, finds its way to the brooks and rivers almost immediately, producing often dangerous floods or inundations of the neighboring low grounds. A friend of the author had a waterfall and mill in Surrey, which he formerly let for a rent of ~1,200 a year; but after agricultural improvements in the district from which the water came, the supply of water was generally either superabundant or deficient, and the value of the mill was reduced to one-half. The surface of our globe is formed of different strata or layers, as of clay, chalk, sand, gravel, &c., &c., which appear all to have been at former periods horizontal, formed under water, and to have been afterwards thrown up, by some convulsion or convulsions of nature, into every variety of position. In particular situations, the upper surface is now concave or basin-shaped, the different strata or layers, when water-tight, being like cups or basins placed one within another, and as water poured in, to fill the space between two basins so placed, would spring out to the height of its upper or level surface, through any hole made in the side of either, so on boring for water, through an innermost or superior water-tight stratum or basin of earth, the water often springs out and rises far above the surface of the ground. L6ndon stands in a hollow of which the first-met layer is a basin of clay, placed over chalk, and on boring through the clay (souletimes of three hundred feet thickness,) the water issues and in many places will form a jet considerably above the surface of the ground; showing that there is a higher source or level somewhere-as among the hills of Surrey, or those north of London. When fluids of different kinds and of different weights under the same bulk, are made to oppose or to balance each other in communicating vessels -as water, for instance, in one leg of the bent tube b d c, and oil in the other -the surfaces will not all rest or settle at the same height or level, but that of the lighter fluid will be j ust as much higher than that of the other as it is FLUID SUPPORT. 143 lighter. Thus a column of oil must be of a length as d o, to balance a column of water Fig. 78. d w: and alcohol, because lighter than oil, b ce to balance the same water, would have to. stand higher still, as at a; while mercury, c because thirteen times weightier than water, would stand only about m. The shape, size, / or position of the vessels in which the opposing fluids might stand, would have no influence on the relative heights of the surfaces;. for if we suppose a larger vessel, such as is represented here by the dotted lines between the letters e f m, to be substituted for the in..-.. o leg c d of the tube, the various fluids to Li balance the water in b d, would have to stand dc just as high in it as in the smaller tube. " A body immersed in a flaid, displaces exactly its own bulk of it, which quantity having been just supported by the fluid around the body is held,up with force exactly equal to the weight ofthe fluid displaced, and must sink or swim according, as its own weight is greater or less than this." A bladder full of air, and maintaining the bulk of a pound of water, requires a force of one pound (except a few grains, the weight of the air,) to plunge it under the water. The same bulk of gold is held up in water with exactly the same force; so that, if previously balanced at the end of a weighing beam, it appears on immersion to have lost one pound of its weight. And a piece of wood,' ivory, or any other substance, having exactly the same bulk, is opposed on entering the fluid by the same resistance. The reason of this is obvious, for the immersed body takes the place of water which weighed one pound and yet was supported, and whose pressure was necessary for the equilibrium of the rest. In a vessel of water represented here by the figure a b, let us append to any portion of the water, a single column of particles, Fig. 79. for instance, represented by the line c d: we know that each column is steadily supported in.............. its place, because the particle of the liquid immediately under it is tending upwards to cs escape from the surrounding pressures, with force exactly equal to the weight of the column; and ] what is true of a column of single particles, is true of any other portion, such as the larger column represented by the figuref h g. If such portion weighed exactly a pound, the surface under it would be tending upward with the force of a pound; and if the portion, without changing its bulk or form, were to become ice, it would still be exactly supported by the surface below pressing upwards with a force of a pound; and farther, if a similar column of wood, or stone, or metal, were there, the surrounding pressure would still be the same. Again, if we suppose only half the column to be solidified, the portion h g for instance, it, would be pressed upwards with a force of one.pound at g; but its own weight of half a pound, and the weight of the half pound of water above it, would produce an exact balance and maintain rest. 144 HYDROSTATICS. It is very imlprtant to have clear notions on this subject; and as different minds apprehend such matters with different degrees of facility, and in different ways, we shall state the same general truth in other words. Let us consider a mass of fluid as consisting of a vast number of extremely minute columns of single particles standing side by side, where every particle supports those above it by tendency upwards which it requires through the pressure of the fluid surrounding it. Now if we suppose the particles of a portion of a fluid mass, of any shape, to stick together, or to become ice without change of bulk or weight, that portion when solid would still be between the same forces as when fluid, and therefore would be equally supported, and would remain at rest. And if god, or silver, or glass, or wood, having the same bulk, were substituted for the supposed ice, such new substance would still be sustained with the same force; so that a substance of exactly the same weight as the ice or water displaced, would have no tendency either to rise or to fall more than the water itself had; but a substance heavier would sink, and one lighter would swim, and in either case with force exactly proportioned to the difference between its weight and that of an equal bulk of water. Few persons, in now reading the statement of this truth-in appearance so simple and obvious —would imagine that it had remained so long unknown and that the discovery of it may be accounted one of the most important which human sagacity ever made,-but such is the case. We owe the discovery to one of the master-minds of antiquity-that of Archimedes. He caught the idea one day while his limbs were resting on the liquid support of a bath: and as his God-like intellect darted into futurity, and perceived many of the important uses to which the knowledge was applicable, he is said to have become so moved with admiration and delight, that he leapt from the water, and unconscious of his nakedness, pursued his way homewards, calling out " fvCvx:, FvC7xa'," I have found it.' He was thinking chiefly of the ready means, thus obtained, of ascertaining in all cases what has since been called the specific gravity of bodies, viz., the comparative weights of equal bulks of different substances; as of gold, or silver, or copper, or iron, compared with water; and in the case of mixtures, as of gold with silver for instance, of declaring at once the proportion present of each-important problems, which, until then, could not be correctly solved. The hydrostatic law now explained, has since led to great advances in various arts. It may be regarded as a chief foundation of chemistry, for by it the chemist distinguishes one substance from another, distinguishes a pure from an impure substance, and discovers the nature of many mixtures or compounds. The merchant often judges by it of the worth of his merchandize. In any case it enables an inquirer to ascertain at once the exact size or solid bulk of a mass, however irregular-even of a bundle of twigs. It has become the cause of improvements in navigation, in marine architecture, and in many other arts. We shall now discuss more particularly the subject of comparative weights or specific gravity. " Theforce with which a body is held up in a fluid, being the exact weight of its bulk of that fluid, by ascertaining this force and comparing it with the weight of the body itself the comparative weights or SPECIFIC GRAVITIES are found." (Read the Analysis, p. 126.) If any body, c, a mass of gold, for instance, be suspended by a thread or FLUID SUPPORT.-SPECIFIC GRAVITY. 14'5 hair from the bottom of one scale b of a weighing-beam, and be balanced Fig. 80. by weights put into the other scale a, and if a vessel of water be then lifted under it so that the water shall surround it, the body is pushed up or supported by the water with force equal to the weight of the water which it displaces; the weights, therefore, then required in the scale b to restore the balance, show truly the exact weight of the water displaced; or of water equal in bulk to the body; and the weights in the two opposite scales c show the comparative weights of the body and of its bulk of water. In the supposed case, whatever weight the gold had in the air, it would seem to lose when the water surrounded it, about a nineteenth part of such weight; that is, the water would support it with this force; and gold would thus be proved to be about nineteen times as heavy as water. In making a table of specific gravities, it was necessary to select a common standard with which all other substances should be compared, and this has been done in choosing water; the reason of preference being, that water can be so easily procured in a state of purity, and therefore of uniformity, in all situations. When we say, therefore, that gold is of the specific gravity 19, and copper 9, and cork!, we mean that these substances are just so much heavier or lighter than their bulk of pure water in its densest state, viz., at the temperature of 40 degrees of Fahrenheit's thermometer. As the substances in nature differ as to form and other qualities, corresponding differences have to be made in the manner of ascertaining their specific gravities: the following cases are most important. Solid bodies insoluble in water and heavier than it-as the metals, &e., are merely suspended by a thread or hair, having nearly the specific gravity of water, to one scale of the hydrostatic balance (simply a good weighingbeam with a water-vessel below one of the scales;) and the body being first balanced or weighed in the air, and then in water, as already described, the weight and the loss, represented, if the operator chooses, by the weights in the-opposite scales, are the weights of equal bulks of the two substances; and by finding, through the arithmetical operation of division, how often the weight of the water is contained in the weight of the solid, we find the specific gravity of the solid, or how much it is weightier than its bulk of water. —It is almost superfluous to remark, that putting.weights into the scale, b or taking them out of the scale a, are equivalent operations. We shall explain afterwards, that for very delicate purposes bodies must be weighed first in a vacuum, instead of in air, or a suitable allowance must be made; for air itself supports a little any body immersed in it. Solids lighter than water, as cork, are weighed in it by attaching to them a mass of metal or glass heavy enough to sink them, and already balanced in water for the purpose; or by making the line which connect them with the weighing beams pass under a small pully fixed at the bottom of the vessel, so that the rising of the end of the beam to which they are attached shall draw them down. 10 146 HYDROSTATICS. A solid soluble in water, as a chrystal of any salt, may be protected during the operation of weighing in water, by previously dipping it in melted wax, so as to leave a thin covering on it; or it may be weighed in some liquid which does not dissolve it, allowance being afterwards made for the difference between the weight of such liquid and of water. Powders insoluble in water, such as gold dust, are weighed in a glass cup which has previously been balanced in water for that purpose. Powders soluble in water, must be weighed in some other liquid. Mr. Leslie, the highly endowed professor of natural philoolphy in the University of Edinburgh, has lately suggested a novel and ingenious mode of acertaining the specific gravity of pulverized or porous bodies; but as it can be understood only by persons acquainted with the doctrines of pneumatics, the consideration of it must come under that head. Other liquids may be compared with water in several ways. %t. If a phial be made to hold exactly one thousand grains of distilled water, at the temperature of 400, the weight of the same measure of any other liquid is found, by simply filling the phial, and weighing it. Of sulphuric acid, for instance, such a phial will contain nearly nineteen hundred grains, while of alchohol it will receive only about eight hundred. 2d. A bulb of glass, which loses one thousand grains when weighed in water, (which thousand grains is therefore the weight of its bulk in water,) may be weighed in other liquids,. and the difference of loss marks the specific gravity, as in the last case. The bulb for this purpose may be of any size, but one which loses in water exactly one thousand grains, is preferable, from the simplicity thereby given to the calculations:-This remark applies also to the phial last mentioned..3d. A contrivance which renders the beam and scales altogether unnecessary, is a hollow floating bulb of glass or metal a, with a slender stalk rising from it to support the little scale or dish b, and with another stalk descending to carry the weight or weights at c, which serve as ballast to it. The whole is so adjusted that when displacing one thousand grains, or other known quantity of pure water, it shall float with a certain mark upon the upper stalk just at the surface of the water. By then immersing it in other liquids and finding how much weight must be added to, Fig. 81. or taken from it above or below, to make it float in them at the same elevation, the comparative weights of these other liquids and of water are found:-or the difference of weight which makes it float at different elevations in water, having been previously ascertained, it will only be a necessary, in any other case, to note exactly its elevation; an inch of the slender stalk may be equivalent to a difference of ten grains. This instrument is called an hydrometer. There are generally printed tables and directions, accompanying all forms of it, telling the exact import of the several indications, and the allowances to be made for temperature, &c. It may be used for weighing solids as well as liquids, for if any mass be put into the saucer b, weights exactly equal to the mass must be taken out of the saucer b, or from below at c, to restore the equilibrium of the instrument. The mass may be afterwards placed at c, and weighed in water. 4th. The shortest mode of ascertaining the specific gravities of liquids, is to have a set or series of small glass bubbles of different specific gravities, so that when they are thrown into any liquid, those heavier than it will sink, and those lighter will swim, while that one which marks its specific gravity will remain merely suspended. FLUID SUPPORT.-SPECIFIC GRAVITY. 147 The bubbles must, of course be numbered, and the specific gravity of each be previously known. A common use of hydrometers is to ascertain the quality of the distilled spirits brought to market, as of rum, brandy, gin, &c. All these consist of alcohol more or less diluted with water; and duty or tax is levied upon them in proportion to their strength, or the quantity of alcohol which they contain. A delicate hydrometer discovers this at once. A shop-keeper in China sold to the purser of a ship, a quantity of distilled spirit according to a sample shown,; but not standing in awe of conscience, he afterwards, in the privacy of his store-house, added a certain quantity of water to each cask. The spirit having been delivered on board, and tried by the hydrometer, was discovered to be wanting in strength. When the vendor was charged with the intended fraud, he at first denied it, for he knew of no human means which could have made the discovery; but on the exact quantity of water which had been mixed being specified, a superstitious dread seized him, and having confessed his roguery, he made ample amends. On the instrument of his detection being afterwards shown to him, he offered any price, for what he foresaw might be turned to great account in his trade. The specific gravity of aeriform substances is ascertainnd by means of a glass flask of known size, furnished with a stop-cock. It is first weighed when emptied by the air-pump, and afterwards when filled successively with water and with different airs or gases. Comparison of the weights gives the specific gravities, as already described. The following table shows, in round numbers, the comparative weights or specific gravities of some common substances. Water is the standard kept in view, and any equal bulk of another substance is heavier or lighter than water, according to the numbers severally attached to them. Platinum.... 22- Common Salt,... 2 Gold... 19. Brick.... 2 Mercury.. 131 Alcohol.1Copper.... 83 ZEther.. Steel and Iron.. 8 Cork.... Diamond... 3 Atmospheric Air - Glass... 3 Hydrogen Gas.. Common stones 2.. -a -a Complete tables are found in systems of Dictionaries of Chemistry. A cubic foot of water happens to weigh very nearly one thousand ounces avoirdupois, or 621 pounds. Hence, in the foregoing table, the figures denoting the specific gravities tell how many times a thousand ounces of the different substances a cubic foot contains. Of gold, for instance, a cubic foot contains more than nineteen thousand ounces, being worth in money about ~63,000 sterling. A cubic foot of common air contains only a little more than one ounce; and of hydrogen gas, the lightest of ponderable things, a cubic foot contains less than a drachm. The following facts are also illustrations of the truth, that a body immersed in a fluid is held up, or has its entrance resisted, with force equal to the weight of the quantity of fluid which it displaces. A stone which on land requires the strength of two men to lift it, may be lifted and carried in water by one man. There are cases, therefore, where 148 HYDROSTATICS. the support of water thus rendered useful, is equivalent to the assistance of additional hands. A boy will often wonder why he can lift a certain stone to the surface of water, but no farther. The invention of the diving-bell in modern times, having enabled men, in the building of piers, bridges, &c., to work under water almost as freely as above, many have experience of this influence of water: but workmen are generally surprised at first, to find that below they can move much larger and heavier stones than they can in the air. Some had supposed the fact accounted for by saying that the denser air of the diving-bell, wlfen received into the lungs gave greater strength. In recovering property from a sunken ship. by the diving-bell, everything is found to be lighter in the proportion now stated. This law explains also why stones, gravel, sand and mud, are so easily moved by waves and currents. Many people expressed astonishment, in March, 1825, to learn that at the Plymouth Breakwater, the storm had displaced blocks of stone of many tons weight; but we now see that the moving water had only to overcome about half the weight of the stone. When a person lies in a bath, the limbs are so nearly supported by the water as to require scarcely any exertion on the part of the individual. When this softest of all beds has been indulged in for half an hour or more, the person, on first lifting a limb out of the water, feels surprise at its great apparent weight. The workers about diving-bells always experience the sensation now spoken of, on returning to the air. The bodies of most fishes are nearly of the specific gravity of water, and, therefore, if lying in it without making exertion, they neither sink nor rise very quickly. When this subject was less understood, many persons believed that fishes had no weight in water; and it is related as a joke at the expense of philosophers, that a king having once proposed to his men of science to explain this extraordinary fact, many profound disquisitions came forth, but not one of the competitors thought of trying what really was the fact. It was beneath the dignity of science in those days to make an experiment. At last a simple man balanced a vessel of water in scales, and on putting a fish into the water, showed its scale preponderating just as much as if the fish had been weighed alone. In the sense now explained, water is said to have no weight in water. The least force will raise a bucket of water from the bottom of a well to the surface; but if the bucket be lifted at' all farther, its weight is felt just in proportion to the part of it which is above the surface.., body lighter than its bulk of water will float, and with force proportioned to the difference." (Read the Analysis, p. 126.) The reason of this is clear. If any body, the cylinder a b c d for instance, be partially immersed in water, we know that the Fig. 82. upward pressure of the water on the bottom c d, is exactly what served to support the water displaced by the body, viz., water of the bulk, efc d. The body, therefore, that it may remain out as far as c' here represented, must have exactly the weight of the water which the immersed part of it displaces; and if it be lighter than this, it will rise farther; if heavier, it will sink farther until the exact balance be produced. FLUID SUPPORT.-SWIMMING. 149 Hen"ce of any body which floats in water, a pound weight displaces just a pound of water, whether the body be very light in proportion to its bulk, as cork, or heavier, as a piece of dense wood. This is experimentally shown by putting such bodies to float in a vessel originally full of water. The water displaced by each must run over the sides of the vessel, and may be caught and measured. Hence a porcelain basin weighing four ounces will sink in water only as far as a similar wooden basin or bowl of the same weight; and the weight of either basin may be in the substance of which it is formed, or in anything else put into it as a load. Hence a boat'made of iron floats just as high out of water as a boat of similar form and sizemade of wood, provided the iron be proportionately thinner than the wood, and therefore not heavier on the whole. An empty metallic pot or kettle is often seen floating with a great part of it above the surface of the water.-Prejudice for a long time prevented iron boats from being used, although, for various purposes, they are superior to others: and there are still: people who would fear to go on board of a ship built of the strong and singularly durable Indian teaks, because it is heavier than water, and, in the form of a log, therefore, sinks in water. Many fine ships of thelline, however, and East-Indiamen of fifteen hundred tons or more, are now built of teak. Hence a ship carrying a thousand tons weight will draw just as much water, or float to the same depth, whether her cargo be of cotton or of lead:and the exact weight of any ship and her cargo may be determined by finding how much water she displaces. In canal boats, which are generally of a simple form, this truth affords a ready rule for ascertaining the quantity of their load. The human body, in an ordinary healthy state with the chest full of air, is lighter than water. If this truth were generally and familiarly understood, it would lead to the saving of more lives, in cases of shipwreck and in other accidents, than all the mechanical life-preservers which man's ingenuity will ever contrive. The human body with the chest full of air naturally floats with a bulk of about half the head above the water,-having then no more tendency to sink than a log of fir. That a person in water, therefore, may live and breathe it is only necessary to keep the face uppermost. The reason that in ordinary accidents so many people are drowned who might easily be saved, are chiefly the following:1st. They believe that the body is heavier than water, and therefore, that continued exertion is necessary to keep it from sinking; and hence, instead of lying quietly on the back, with the face upwards, and with the face only out of the water, they generally assume the position of a swimmer, in which the face is downwards, and the whole head has to be kept out of the water to allow of breathing. Now, as a man cannot retain this position but by.continued exertion, he is soon exhausted, evgn if, a swimmer, and if he is not, the unskilful attempt will scarcely secure for him even a few respirations. The body raised for a moment by exertion above the natural level, sinks as far below it when the exertion ceases; and the plunge, by appearing the commencement of a permanent sinking terrifies the unpractised individual, and renders him an easier victim to his fate.-To convince a person learning to swim of the natural buoyancy of his body, it is a good plan to throw an egg into water about five feet deep, and then desire him to bring it up again.. He discovers that instead of his body with the chest full'of air na 150 HYDROSTATICS. turally sinking towards the egg, he has to force his way downwards, and is lifted again by the water as soon as he ceases his effort. 2d. They fear that water entering by the ears may drown, as if it entered by the nose or mouth, and they make a wasteful exertion of strength to prevent it; the truth being, however, that it can only fill the outer ear, as far as the membrane of the drum, where its presence is of no consequence. Every diver and swimmer has his ears thus filled with water, and cares not. 3d. Persons unaccustomed to the water, and in danger of being drowned, generally attempt in their struggle to keep their hands above the surface, from feeling as if their hands were imprisoned and useless while below; but this act is most hurtful, because any part of the body held out of the water, in addition to the face which must be out, requires an effoqt to support it, which the individual is supposed at the time ill able to afford. 4th. They do not reflect, that when a log of wood or a human body is floating upright, with a small portion above the surface, in rough water, as at sea, every wave in passing must cover it completely for a little time, but again leave its top projecting in the interval. The practiced swimmer chooses this interval for breathing. 5th. They do not think of the importance of keeping the chest as full of air as possible; the doing which has nearly the same effect as tying a bladder of air to the neck, and without other effort, will cause nearly the whole head to remain above the water. If the chest be once emptied, while from the face being under water the person cannot inhale again, the body remains specifically heavier than water, and will sink. When a man dives far, the pressure of deep water compresses, or diminishes the bulk of the air in his chest, so that, without losing any of that air, he vet becomes really heavier than water, and would not again rise, but for the exertion of swimming. The author of this work once saw a sailor ( a fine-bodied West India negro ) fall into the calm sea from a yard-arm eighty feet high. The velocity on his reaching the water was so great, that he shot deep into it, and, of course, his chest was compressed as now explained: probably also the shock stunned him, for although he was an excellent swimmer, he only moved his arms feebly once or twice, and was then seen gradually sinking for a long time afterwards, until he appeared only as a black and distant speck, descending towards the unknown regions pf the abyss. Every person need not learn to swim; but every one who makes voyages should have practiced the easy lesson of resting in the water with the face out. The head, from the large quantity of bone in it is a heavy part of the body, yet, owing to its proximity to the chest, which is comparatively light, a little action of adjustment with the hands, easily keeps it uppermost; and there is an accompanying motion of the feet, called treading the water, not diffcult to learn, which suffices to sustain the entire head above the surface. Many of the seventy passengers who were swallowed up on the sudden sinking of the Comet steam-boat near Qreenock, in November, 1825, might have been saved by the boats, which so soon went to their assistance, had they known the truth which we are now explaining. A man having to swim far, may occasionally rest on his back for a time, and resume his labor when he is somewhat refreshed. So little is required to keep a swimmer's head above water, that many individuals, although unacquainted with what regards swimming or floating, have been saved after shipwreck, by catching hold of a few floating chips or broken pieces of wood, An oar will suffice as a support to half a dozen FLUID SUPPORT.-STABILITY. 151 people, provided no one of the number attempts by it to keep more than his head out of the water; but often, in cases where it might be thus serviceable, from each person wishing to have as much of the security as possible, the number benefitted is much less than it might be. The most common contrivances, called life-preservers, for preventing drowning, are strings of cork put round the chest or neck, or air-tight bags applied round the upper part of the body, and filled, when required, by those who wear them blowing into them through valved pipes. On the great rivers of China, where thousands of people find it more convenient to live in covered boats than in houses upon the shore, the younger children have a hollow ball of some light material attached constantly to their necks, so that, in their frequent falls overboard, they are not in danger. Life-boats have a large quantity of cork mixed in their structure, or of air-tight vessels of thin copper or tin plate: so that, even when the boats are filled with water, a considerable part still floats above the general surface. Swimming is much easier to quadrupeds than to man, because the ordinary motion of their legs in walking and runningis that which best supports them in swimming. Man is at first the most helpless of creatures in water. A horse while swimming can carry his rider with half the body out of the water. Dogs commonly swim well on the first trial.-Swans, geese, and water-fowls in general, owing to the great thickness of feathers on the under part of their bodies, and the great volume of their lungs, and the hollowness of their bones, are so bulky and light, that they float upon the water like stately ships, moving themselves about by their webbed feet as oars. A water-fowl floating on plumage half as bulky as its naked body, has about half that body above the surface of the water; and similarly a man reclining on a floating mattrass, as in the hydrostatic bed afterwards to be described, has nearly as much of his body above, the level of the watersurface, as he forces of the mattrass under it. His position, therefore, depends on the thickness of the mattrass. A man walking in deep water may tread upon sharp flints or broken glass with impunity, because his weight is nearly supported by the water. But many men have been drowned in attempting to wade across the fords of rivers, from forgetting that the body is so supported by the water, and does not press on the bottom sufficiently to give a sure footing against a very trifling current. A man, therefore, carrying a weight on his head, or in his hands held over his head, as a soldier bearing his arms and knapsack, may safely pass a river, where, without a load, he would be carried down the stream. There is a mode practised in China of cat.hing wild ducks, which requires that the catcher be well loaded or ballasted. The light grain being first strewed upon the surface of the water to temp them, a man hides himself in the midst of it, under what appears a gourd or basket drifting with the stream, and when the flock approaches and surrounds him, he quickly obtains a rich booty by snatching the creatures down one by one-adroitly making them disappear as if they were diving, and then securing them below. Each bird becomes as a piece of cork attached to his body. Fishes can change their specific gravity, by diminishing or increasing the size of a little air-bag contained to their body. It is because this bag is situated towards the under side of the body, that a dead fish floats with the belly uppermost. Animal substances, in undergoing the process of putrefaction, give out much aeriform matter. Hence the bodies of persons drowned and remaining 152 HYDROSTATICS. in the water, generallyrswell, after a time, and rise to the surface, again to sink when the still increasing quantity of air shall burst the containing parts. A floating body sinks to the same depth whether tpe mass of fluid supporting it be great or small:-as is seen when a porcelain basin is placed first in a pond, and then in a second basin only so much larger than itself that a spoonful or two of water suffices to fill up the interval between them. One ounce of water in the latter way may float a thing weighing a pound or more, exhibiting another instance of the hydrostatic paradox:-And if the largest ship of war were received into a dock, or case, so exactly fitting it that there were only half an inch of interval between it and the wall or side of the containing space, it would float as completely, when the few hogsheads of water required to fill this little interval up to its usual watermark were poured in, as if it were on the high sea. In some canal locks, the boats just fit the place in which they have to rise and fall, and thus the expense of water at the lock is diminished. The preceding examples of floating are all illustrations also of the truth that the pressure of a fluid on any immersed body is exactly proportioned to the depth and extent of the surface pressed upon. The lateral pressures just balanced one another, and the upward pressure has to be balanced by the weight of the body. Similar reasoning to that which proves that the whole weight of a body acts as if lodged in the point called its centre of gravity, proves that the whole buoyancy of a body, or the upward push of the fluid in which a body is immersed, acts as if lodged in the point which was'the centre of gravity of the fluid displaced. This point, consequently, is called the " centre of buoyancy." A floating body, to be stable in its position, either must have its centre of gravity below the centre of buoyancy-in which case it resembles a pendulum; or it must have a very broad bearing on the water, so that any inclination may cause the centre of gravity to ascend-in which case it resembles a cradle or rocking-horse. Hence arises, in the stowing of a ship's cargo, the necessity of putting the heavy merchandise underneath, and generally of putting iron ballast under all the merchandise. Hence, also, the danger of having a cargo or ballast which is liable to shift its place. A ship loaded entirely with stones, is sometimes lost by a wave making her incline for a moment so much that the load ships to one side, which is then kept down. For a similar reason, a cargo of salt or sugar has a peculiar danger attached to it, for if the ship leak, the cargo may be dissolved, and then pumped out with the bilge water, leaving her with altered trim. In a fleet coming home from India, in 1809, four fine ships disappeared during a hurricane off the isle of France. and from what happened to the other ships that were saved, the cause of the destruction was supposed to be, that the saltpetre of the cargoes had been dissolved and pumped out, and that the ships in consequence became unmanageable. Bladders used by beginners in swimming are dangerous, unless secured so as not to shift towards the lower part of the body. A great inventor (in his own estimation) published to the world, that he had solved the important problem of walking safely upon the water; and he invited a crowd to witness his first essay. He stepped boldly upon the wave, equipped in bulky cork boots, which he had previously tried in a butt of water at home; but it soon appeared that he had not pondered sufficiently on FLUID SUPPORT AMONG FLUIDS. 153 the centres of gravity and of floatation, for in the next instant all that was to be seen of him was a pair of legs sticking out of the water, the movements of which showed that he was by no means at his ease. He was picked up by help at hand, and, with his genius cooled and schooled by the event, was conducted home.-Some soldiers once finding a few cork jackets, among old military stores, determined to try them; but mistaking the shoulder straps for lower fastenings, they put them on as drawers, and on then plunging in, with the hope of being able to sit pleasantly on the water, their heavy heads went down, and they were nearly drowned - When, on the return of summer, the ice breaks up in the polar regions, immense islands of it are set afloat, rising high into the air and sinking deep into the sea. The melting process, in most cases, does not go on equally in the water and in the air, and from the mass, consequently, changing form, its stability is often lost, and one of the grandest phenomena in nature followsthe overturning of a mountain-the sudden subversion of an island-producing a tumult in the ocean around, felt often at the distance of many leagues. The phenomena of pressure, floating, &c., in fluids, vary in proportion to the weight or specific gravity of the fluid. A ship draws less water, or swims lighter, by one thirty-fifth, in the heavy salt-water of the sea than in the fresh water of a river: and for the same reason a man swimming supports hmiself more easily in the sea than in a river. Many kinds of wood that float in water will sink in oil. A man floats on mercury as the lightest cork floats on water, and with practice he might be able to walk upon mercury. Had the water of our ocean been but a little heavier than it is, men after shipwreck might have died of famine and cold, but would not have been drowned Oil floats on water, but sinks in alcohol or rether. The term proof spirit means spirit light enough for oil to sink in it. The strength of spirit is proportioned to its lightness. Cream rises in milk, and forms a covering to it. Blood, allowed to rest after flowing from the living body, separates, into parts or layers, which arrange themselves according to their specific gravities. The buffy coat of inflammation (where this exists) is uppermost, forming the surface of the general coagulum: towards the lower part of the coagulum there is an accumulation of red globules; and the whole of the solid part floats in the serum, which is therefore lowest of all. When the red globules escape from the coagulum, they fall to the bottom even of the serum. Wine, if slowly and carefully poured on water, will float upon it. In a vessel shaped like a common sand-glass, only with a larger opening between the chambers at c, if wine be put into the Fig. 83. under chamber, and water into the upper, the two liquids will gradually change places: and if the lower half of the a glass be covered, so as to leave the upper half with the appearance of a simple goblet, the water will seem to have been changed into wine. The liquids are less mixed, and change places sooner, when there is a tube b to carry the water down to the bottom without touching the wine, and a tube a to carry the wine directly to the top. Mercury, water, oil, air, and some other fluids may all be. b shaken together in the same vessel, and on standing will separate again and arrange themselves in the order of their specific gravities. 154 HYDROSTATICS. When, in a mass of water, part of it is heated more than the rest, that part, by its expansion, becomes specifically lighter than the rest, and rises to the surface. Hence, when heat is applied to the bottom of a vessel containing water, a circulation is established, which goes on from the first moment until the operation of heating finishes:-water is always rising from the hotter parts of the vessel, and descending over the colder parts. In like manner, when a tall glass containing hot water is dipped into cold water, a downward current takes place within the glass near the sides all round, and there is an upward current in the middle. This motion may be rendered very obvious by small portions of amber thrown into the water, for these being nearly of the specific gravity of water, rise and descend with it. On account of the current established- in such cases, heat applied to the bottom of a vessel of liquid is soon equally diffused over it; but heat applied at the top is there confined, Jbecause the heated and lighter fluid does not descend. Water may be made to boil at its surface, while a piece of ice lies at the bottom. The converse is impossible. The current in a fluid, produced by local change of temperature, is an important part of the following process, which the author deems applicable to various useful purposes.-Heat may be transferred from one liquid to another, without mixing them, by making the hot liquid descend in a very thin metallic tube, through the cold liquid rising around it in a larger tube, Boiling water from the vessel e, for instance, may descend slowly by the small tube ea b f, which is surFig. 84. rounded from a to b by cold water ascending through the: tube cg. Then, as the teme perature of two liquids, brought q'.so nearly into contact with each other, will not, after a very short cLi c[