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VOLUME THE FOURTH.

STON

MECHANICS

FISTITUTY

STUDIES serve for delight, for ornament, and for ability. Their chief use for delight, is in privateness and retiring;
for ornament, is in discourse; and for ability, is in the judgment and disposition of business: for expert men
can execute, and perhaps judge of particulars, one by one; but the general counsels, and the plots and marshalling
of affairs, come best from those that are learned. To spend too much time in studies, is sloth; to use them
too much for ornament, is affectation; to make judgment wholly by their rules, is the humour of a scholar:
they perfect nature, and are perfected by experience; for natural abilities are like natural plants, that need pruning
by study; and studies themselves do give forth directions too much at large, except they be bounded in by
experience.-Bacon.

Presented by The Hon W Savile

CASSELL'S EDUCATIONAL

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LONDON:

CASSELL, PETTER, AND GALPIN, LA BELLE SAUVAGE YARD,
LUDGATE HILL, E. C.

TO OUR READERS.

IN bringing our Fourth Volume to a close, we heartily thank all our Subscribers for their steady and unwearied support. The letters of encouragement and of commendation which we have received during the past six months, have been more numerous and, more gratifying than ever. We have endeavoured to show our sense of these favours, by labouring more earnestly to impart solid and useful instruction in various important branches of learning; we have, in fact, considered that we were entrusted by our readers with the responsible task of their education, and we have aimed at fulfilling our duties to their satisfaction. We have given a concise and popular summary of the leading facts in several branches of Natural Philosophy, as may be seen by consulting the Index ; but many highly useful and interesting departments are soon to follow in their order; these are Caloric and Optics, or the doctrines of Heat and Light, including some of their most interesting applications, as the Steam Engine, the Telescope and Microscope, Daguerreotype and Photography; Magnetism and Electricity, including the nature of the Telegraph, the Electrotype, and other useful applications; and, as soon as possible, Astronomy, which is much in demand.

Chemistry has also been treated in a highly popular manner, and has converted a great number of our Subscribers into practical Students of that art. The elegant languages of ancient Greece and of modern Rome have also occupied our pages, and have been expounded with great care by the authors of the Lessons on these branches of Literature; nor have we forgot our Students in French, as a "Course of Readings" in that popular language is still appearing at convenient intervals. The Mathematics, including Algebra and Geometry, with Instrumental Arithmetic and Mathematical Illustrations, have also been progressing under our own care, and these branches will be still more vigorously pursued in our next Volume, where some of them, if possible, will be brought to a conclusion. Bookkeeping has already occupied a portion of our labours, and we shall conclude this branch in a few early Numbers, with the subject of Foreign Trade. The Lessons in Reading and Elocution will be rendered still more useful and attractive in our next Volume; but we cannot promise any new language till we have finished one or more of those now in hand; the German, however, is very near a conclusion. We are preparing for Lessons in Mechanical Drawing, and in various other branches which have been unavoidably, postponed, on account of the great demand for those which we have given, and which we are now carrying on. In closing these remarks, we can only say that we shall continue to place before our Readers, as we have always striven to do, those subjects which are the most in demand, and which are calculated to do "the greatest possible good to the greatest possible number."

JULETAR

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The Semicolon; the Colon; the Parenthesis,
Crotchets, and Brackets; Rules, etc.
SKELETON MAPS..

370

XXII. Minor Tunes; Exercises; Remarks on the Com-
mon Scale; Conclusion

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MATHEMATICAL ILLUSTRATIONS.

VIII. Hydrostatics; Properties of Liquids; Piesome-
ters; the Principle of Pascal; Pressure in
Liquids from Gravity; Hydrostatic Paradox 105
IX. On the Equilibrium of Liquids, in single and
communicating vessels; the Hydraulic Press;
Levels and Levelling; Fountains and Arte-
sian Wells..

X. Bodies immersed in Liquids; Principle of
Archimedes; Hydrostatic Balance; Meta-
centre; Specific Gravity; the Areometer....
XI. Specific Gravity; Tables of the Specific Weights
of Solids and Liquids; use of these Tables
XII. Areometers; Nicholson's and Baumé's Areome-
ters; Gay-Lussac's Densimeter
XIII. Hydrodynamics; Efflux of Liquids; Liquid
Vein; Vena Contracta; Theorem of Torri-
celli; Discharge, theoretical and effective, etc.

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ON PHYSICS, OR NATURAL

PHILOSOPHY.-No I.

OBJECT OF THE SCIENCE.

THE object of physics, or natural philosophy, is the study of all phenomena which material substances present, except those which relate to changes of internal composition; the latter come under the domain of chemistry. For example, selecting the metal iron as a subject of contemplation, we may study its specific gravity, its degree of hardness, its property of welding, of being drawn out into wire, and rolled or beaten into plates; all these phenomena depend upon the physical properties of the metal, and the study of such phenomena comes under the domain of physics, or natural philosophy, sometimes called mechanical philosophy. But iron is endowed with another set of qualities. It is capable of being dissolved in certain acids, and rendered invisible as iron, although its presence may be recognised by various tests. All this department of study belongs to chemistry.

We have stated that matter (or material bodies) admits of being studied under two aspects: but what is matter? It is necessary to arrive at some understanding as to this question before proceeding farther. Perhaps the best definition of matter is comprehended in the expression, whatever falls or is capable of falling under the immediate cognisance of the

senses.

At this time, there are sixty-three known elementary or simple bodies; that is to say, bodies out of which chemical analysis has not succeeded in extracting more than one species of matter. Nevertheless the number sixty-three is by no means to be regarded as the permanent representative of simple bodies. Possibly their number may hereafter be increased or diminished, according as new simple bodies may be discovered, or those with which chemists are at present acquainted may be proved to be made up of simple constituents.

Bodies, Atoms, Molecules.-Every definite or limited amount of matter is termed a body or mass, and the properties of such bodies or masses show that the matter of which they are composed is not continuous, but is made up of elements, as it were, infinitely small; so small that they are incapable of physical or mechanical division, and not in actual contact, but in near proximity; the distances between them being maintained by reciprocal repulsions, known under the name of molecular forces. These minute elements of bodies are termed atoms, and groups of atoms are termed molecules,—of which latter, a body or mass is only an aggregated collection.

Mass.-The term mass of a body is applied to the amount of matter which it contains. The absolute mass of a body cannot be determined, but its relative mass, considered with regard to the mass of some other body taken as unity, can be readily arrived at.

Physical Conditions or States in which Bodies exist.-These states are three, each being well characterized and readily distinguishable from the others. 1. The solid state. This condition is manifested at ordinary temperatures by wood, stone, and metals. It is characterized by an entire adherence of molecules amongst themselves, so that they only admit of separation by the exercise of a certain degree of force, varying for different solids, and for the same under different circumstances. It is a direct consequence of this molecular adherence, that solid bodies retain their original forms. 2. The liquid state. Of which we are furnished with examples in water, alcohol, and oils. The distinctive character of liquids is an adherence of so feeble a degree between their molecules, that the latter slide upon and pass each other with extreme facility, in consequence of which it results that liquid bodies do not affect any external form of their own, but invariably assume that of the containing vessel. 3. The gaseous state. Of this we have examples

VOL. IV.

in the air, and a great number of other bodies, to which the general appellation gas or aëriform fluid is applied. In gases the mobility of the molecules is still greater than in liquids; but the special characteristic of gases is their unceasing tendency to expand into a greater volume; a characteristic expressed by the term expansibility, and which will hereafter be demonstrated experimentally. The general term fluid is applied both to liquids and to gases. The greater number of simple bodies, and many compound ones, are capable of presenting themselves successively under the three forms of solid, liquid, and gaseous, according to the variations of temperature to which they are exposed. Of this successive change, water affords a well-known example. Hereafter, when we farther advance into the regions of natural philosophy, it will be found that the three states of solid, liquid and gaseous, depend chiefly on variations of molecular attraction and repulsion.

On Physical Phenomena.-Every change which the state of a body may undergo without involving alteration of composition Is a physical phenomenon. The falling of a body, the sound produced by such falling, the freezing of water, all are physical phenomena.

Laws and Physical Theories.-The term physical law is applied to designate the constant relation which exists between any particular phenomenon and its cause. For example, in demonstrating the fact that a given volume of gas becomes one-half, one-third, one-fourth, &c., its original size, according as it is exposed to a degree of pressure, twice, three times, &c., we illustrate the well-known physical law which is expressed by saying that the volumes of gases are in an inverse ratio to the pressures under which they exist. A physical theory is the collection of laws relating to the same class of phenomena. Thus we speak of the theory of light, the theory of electricity. Nevertheless this expression also applies, though in a more restricted sense, to the explication of certain particular phenomena. In this latter sense, we speak of the theory of daw, the theory of mirage, &c.

Physical Agents.-As causes of the phenomena which bodies present, philosophers admit the existence of physical agents or natural forces, by the operation of which all matter is governed. These agents are universal attraction, caloric or heat, light, magnetism and electricity. Mere physical agents only manifest themselves to us by their effects, their ultimate nature being completely unknown. In the present state of science, the question still remains undetermined, whether the physical agents are to be regarded as properties inherent in matter, or whether they are in themselves subtle material bodies, impalpable, pervading all nature, and the effects of which are the The latter result of movements impressed upon their mass. hypothesis is that most generally admitted; but being admitted, next follows the important question,-"Are these kinds of matter distinct amongst themselves, or are we to refer them to one and the same source?" This latter opinion appears to gain ascendency in proportion as the boundaries of natural philosophy become expanded. Under the assumption that the physical agents are subtle forms of matter, devoid of all appreci able weight when tested by balances of the highest sensibility, they have been termed imponderable fluids; hence arises the distinction between ponderable matter, or matter properly so called, and imponderable matter, or imponderable physical agents.

ON THE GENERAL PROPERTIES OF BODIES.

Different Kinds of Properties.-By the term properties of bodies or of matter is understood, the different methods by which they 79

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