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ELEMENTS ui1
NATURAL PHILOSOPHY.
ELEMENTS
OF
NATURAL PHILOSOPHY;
BEING AN
EXPERIMENTAL INTRODUCTION
TO THE
STUDY OF THE PHYSICAL SCIENCES.
BY
GOLDING BIRD, A.M, M.D., F.L.S.
MEMBER OF THE ROYAL COLLEGE OF PHYSFCIANS;
LATE PRESIDENT OF THE WESTMINSTER MEDICAL SOCIETY ; CORRESPONDING MEMBER OF THE PHILOSOPHICAL INSTITUTE OF BALE, OF THE PHILOSOPHICAL SOCIETY OF ST. ANDREWS,
OF THE MEDICAL SOCIETY OF HAMBURGH, ETC. ; ASSISTANT-PHYSICIAN TO, AND LECTURER ON MATERIA MEDICA AT,
guy’s HOSPITAL.
LONDON :
MDCCCXLIY.
Newton. Princip. Math. Phil., lib. iii., Schol. Glen.
HISTORICAL.
medical
STRAND.
TO THE
STUDENTS OF GUY’S HOSPITAL,
THIS EDITION OF A WORK, ORIGINALLY
WRITTEN FOR THEIR USE,
IS
DEDICATED,
WITH SINCERE WISHES FOR THEIR SUCCESS IN THE HONOURABLE AND ARDUOUS CAREER THEY HAVE COMMENCED,
Gays Hospital, Oct. 1843.
VI
Preface
preparatory to his entering upon the study of larger, and more elaborate works. With this view it has been written; and as the great difficulty experienced in executing this task has arisen from the necessity of knowing, not what to insert, but what to omit, whenever a doubt has arisen on this point, it has been determined by a reference to the amount of knowledge required of the student, by the different English and Scottish medical boards.
A work of this kind I had long ago projected, in consequence of not being acquainted with any in the English language, to which I could refer the students attending the lectures on physics, annually delivered at Guy’s Hospital; although I had hitherto shrunk from the task, hoping that a production, so much required by the medical and general student, would have emanated from some more able writer.
As an apology for the arrangement followed in this volume, it must be observed that utility and extreme simplicity, rather than elegance of style, were sought for, and every other object has been sacrificed to obtain this end. The division into numbered paragraphs was adopted, as every chapter would thus become a kind of running commentary on the others, and would, moreover, facilitate reference to distinct subjects in the Analytical Index.
I regret, as every writer on so extensive a series of subjects must do, the impossibility of doing justice to every labourer in the field of philosophic inquiry, by referring each discovery to its author : as far as this could without circumlocution be effected, it has been done. For discoveries of longer date, as they have become the common property of science, there needs no apology for not in every case mentioning the name of their authors in a strictly elementary work.
I have been greatly indebted to several writers in the French and German languages, for many suggestions and illustrations, of which I have never hesitated to avail myself whenever they appeared to divest any subject of obscurity.
PREFACE.
Vll or to add to its interest. To the “ Precis de Physique” of Biot, the “Elemens de Physique” of Pouillet, the “Traitede Physique” of Hauy, the “Positions de Physique” of Quetelet, and the “ Grundriss der Experimental- Physik” of Kastner, I have been peculiarly indebted for several illustrations, some of which have not, I believe, previously appeared in an English dress.
Having thus explained the object and unpretending character of this volume, I trust enough has been said to blunt the edge of criticism, should such, perchance, be levelled against it. The critic himself, I would beg to remind of the celebrated observation of Horace —
Those readers who desireTurther information on the subjects treated of in this work, and have not the assistance derived from attendance on lectures, may, if only a popular acquaintance with them be required, refer to the very elegant, although as yet unfinished, “ Elements of Physics” of Dr. Arnott, or to Sir David Brewster’s edition of “ Euler s Letters to a German Princess.” Those who require a more profound acquaintance with these important subjects, should consult the books referred to in the body of this volume, as well as to the treatises published by the Society for the Diffusion of Useful Knowledge. The series of Essays written by the professors of King’s College, London, now in the course of publication, will also furnish most valuable comments on this, and other elementary works.
In the execution of this task, I have experienced but one source of regret, and one which every person engaged in the duties of a laborious profession must feel, when called upon to write on a series of subjects, to a certain extent distinct
Vlll
PREFACE.
from his immediate duties, and requiring for their elucidation a much greater amount of time, than his more onerous engagements will allow him to devote to them ; — a source of regret arises from the feeling, that a work of this kind had not appeared from the pen of one better fitted to the task, than of him who now offers it to public notice.
October , 1839.
PREFACE
TO THE SECOND EDITION.
In this edition I have endeavoured to make such improvements as shall render it worthy of the patronage bestowed upon the first, which has been for some time out of print.
The principal additions made to this work consist in the introduction of three chapters, embracing the subjects of thermotics and the chemical action of light. The chapters on electronomical decomposition, and part of those on polarized light, have been re-written. I have endeavoured to elucidate as much as possible whatever appeared obscure, so as to facilitate the labours of the student. To assist which about eighty new wood-cuts have been added.
Myddelton Square,
ANALYTICAL TABLE OE CONTENTS.
PAGE
Preliminary discourse ----- xxxii
Division of the subject into different branches - - xxxiii
Newton’s ruies for philosophizing ... - xxxv
Question of finite divisibility ... - xxxvii
Conversion of the solid, liquid, and gaseous states into each other xxxix Effects of the vibration of ponderable matter - - xl
Density and elasticity of imponderable matter - - xli
Effects of the undulations of imponderable matter - - xliv
( The following figures refer to the numbered paragraphs, and
not to the pages.)
Chapter I. Statics
General Properties of Atoms and' Masses of Matter.
PAK.
Finite divisibility of matter ----- 1
Impenetrability, extension, and figure of atoms - - 6
Chemical and physical analysis - - - - 7
Attraction and repulsion ; solids, fluids, and gases - - 9
Divisibility or extension of masses - - - -11
Flexibility - - - - - - - 12
Tenacity; table of tenacity of metals - - - 13
Brittleness - - - - - - - 14
Elasticity - - - - - - - 15
XU
Chapter II. Statics
Attractive Forces exerted between Masses.
PAR.
Forms of attraction - - - - - - 17
Law of attraction - - - - - - 18
Cohesion .... - - 19
Table of, as exerted between metals and mercury - - 21
Capillary attraction and repulsion .... 22-23
Capillary attraction in tubes - - - - - 23
Capillary attraction between plates - - - - 24
Elevation of fluids in capillary tubes - - - - 25
Apparent attraction and repulsion of bodies, floating on water 28 Endosmose and exosmose ----- 29-30
Diffusion of gases - - - - - - 31
Direction of the attraction of gravitation - - - 33
Lateral gravitation - - - - - - 35
All bodies fall with equal velocity - - - - 36
Elevation of light bodies produced by gravitation - - 37
Figure of the planets produced by gravitation - - 38
Diminution of weight at a distance from the earth - - 39
Centres of gravity, of inertia, of parallel forces - - 40
Determination of the centres of gravity of bodies - - 41-44
Action of gravity on bodies of unequal density - - 44
Conditions of state, unstable, and indifferent equilibrium - 45-47
Chapter III. Dynamics
Bodies in motion, or general Dynamics.
Species of motion - - - - - - 48
Force necessary to produce motion - - - - 49
First law of motion, causes checking motion - - - 50
Consequences of this Law ; centrifugal force - - - 51
Figure of the earth affected by centrifugal force - - 53
Second law of motion ----- 54
Third law of motion ; action and reaction - - - 55
Reflection of motion ; equality of angles of incidence and reflection ------ 56
Action of two equal forces on a moving body - - - 57
Action of two unequal forces - - - - 58
Action of several forces on a body - - - - 59
TABLE OF CONTENTS. Xlll
PAR.
Resolution and composition of motion - ’ - - 60
Illustrations of the action of several forces on bodies - - 62
Velocities of moving bodies - - - - 63
Chapter IV. Dynamics
Effects of Gravitation.
Accelerated motion produced by gravity - - - 64
Velocity and rate of motion of falling bodies - - - 65
Law of increase of velocity of falling bodies - - 66
Simple formulae, for discovering the velocity of falling bodies - 67
Formulae for discovering the velocity, time, and spaee described 68
Laws of bodies projected vertically upwards or downv/ards - 69
Motion of bodies in parabolic curves ; projectiles - - 70
Motion of bodies on inclined planes - - - - 71
Resistance of media - - - - - - 72
Rotation of moving bodies on their axes - - - 73
Rotation round the shortest axes - - - - 74
Case of moving bodies revolving round vertical axes - - 75
Percussion and collision, velocity before and after - - 78
Effects of collision on perfectly elastic bodies - - - 79
Collision of elastic and hard bodies - - - 80
Collision of freely suspended bodies - - - - 82
Velocity of bodies falling in curved paths - - 83
Pendulum, oscillations of bodies the effect of gravity - 84
Ratio between the length of pendula and time of oscillation - 85
Exception to the law of isochronism in large arcs - 86
Determination of the figure of the earth by the pendulum - 87
Formulae for intensity of gravity in different parts of the earth 88
Length of the second’s pendulum in different parts of the earth 90
Centres of oscillation and percussion - - - 92
Compensating or invariable pendulum - - 93
Chapter V. Mechanics
Theoretical Action of the Simple Machines.
Exchange of time for power - - - - 95
Centre of parallel forces - - - - - 96
XIV
PAR.
Theory of the lever and balance 97
Ratio of power to resistance - - - - 98
Weight of bodies determined by incorrect balances - - 99
Ratio of velocity of the power and resistance - - 100
Different modifications of levers - - - - 102
General formulae of equilibrium with the lever - - 104
Wheel and axle - - - - - - 105
Fixed pulley - - - - - 106
Simple moveable pulley - - - - 107
Compound system of pulleys - - - - 108
Formulae for equilibrium with the pulley - - - 110
Inclined plane - - - - - 111
Theoretical action of the plane - - - - 112
Friction, as an obstacle in mechanics - - - 116
Existence of levers in the animal frame - - - 117
Simple pulleys, present in animal structures - - - 119
Presence of the wedge in the skeleton of ichthyosaurus - 120
Chapter VI. Hydrostatics
Phenomena of Fluids at Rest.
General properties of fluid matter - - - - 121
Elasticity of fluids - - - - - 122
Compressibility of fluids - - - - - 123
Law of equality of pressure - - - - 124
Law of fluid equilibrium - - - - - 126
Fluid pressures vary with the depth - - - 128
Formulae for fluid pressure - - - - 129
Consequences of the law of fluid pressure - - - 130
Upward pressure of fluids - - - - 131
Lateral pressure of fluids - - - - - 133
Centre of fluid pressure - - - - - 135
Equilibrium of fluids in communicating vessels - - 136
of solids immersed in fluids - - - 138
Principle of Archimedes explained - - - - 139
Specific gravity, found by the principle of Archimedes - 140
of solids denser than water - - 141
lighter than water - - 142
soluble in water - - - 143
of fluids ----- 144
Hydrometer, areometer, or gravimeter - - - 146
TABLE OF CONTENTS. XV
PAR.
Specific gravity of water at different temperatures - - 146
of gases and vapours - - - 147
Determination of the absolute weights of given bulks of bodies 148 Table of specific gravities of solids, liquids, and gases.
Chapter VII. Pneumo-statics
Phenomena of Gases at Rest,
Composition of atmospheric air - - - - . 149
Question of the finite extent of the atmosphere - - 150
Weight and elasticity of the air - - - 151
Pressure of the atmosphere illustrated - - - 152
Water barometer ------ 143-4
Mercurial barometer - - - - - 155
Indications affected by heat and capillarity - - 156
Mean diurnal height of the barometer - - 157
Determination of heights by the barometer - - - 158
Explanation of the law of Mariotte - - - - 159
Pressure of the atmosphere upon a given surface - - 160
Exhausting syringe and air-pump - - - - 161
Condensing syringe - - - - - - 1 62
Experiments illustrating elasticity and pressure of the air - 163
Chapter VIII. Hydro-dynamics
Phenomena of Fluids in Motion.
Conditions necessary for the flowing of fluids from vessels - 164
Theorem of Torricelli - - - - - 165
General property of fluid currents - - - - 166
Lateral reaction of currents - - - - - 1 6 <
Ratio between velocity of fluids and diameter of channels - 1 68
Theoretical action of fountains and jets d’eau - - 169
Friction existing between fluids and solids - - - 1 70
Bemouilli’s and Barry’s experiments in illustration - - 171
Aerial fluids escaping from containing vessels - - 172
Apparent attraction of bodies by aerial currents - - 172
Different forms of pumps - - - - - 175
Stomach-pump, and Read’s lung-pump - - - 17/
Action of the syphon - - - - - 178
XVI
PAR.
Wirtemberg syphon, Tantalus’s cup - - - 179
Hiero’s fountain - - - - - - 180
Bramah’s hydraulic press . - - - - 181
Chapter IX. Acoustics
Sonorous Vibrations of Ponderable Bodies, or Sound.
Difference between tones and noises - - - 182
Diffusion of sonorous vibrations - - - - 183
Checked unless a conducting medium be present - - 184
Sounds varying in intensity with the density of the air - 185
Law of intensity of sound - ~ - - - 186
Circumstances modifying this law - - - - 1 87
Communication of sonorous vibrations - - - 188
Waves of sound capable of passing each other - - 189
Velocity of sound - - - - - - 190
Calculation of distances by sound - - - - 191
Conducting power of bodies for sound - - - 192
Existence of acoustic shadows - - - - 193
Interference of sonorous undulations - - - 194-5
Passage of sonorous waves through mixed media - - 196-7
Reflection of sound - - - - - - 198
Cause of echo ... - - - . 199
Reflection of sound by curved surfaces - - - 200
Transverse vibrations - 201
Planes in which cords vibrate .... 202
Musical notes ------ 203
Comparative view of vibrations producing notes - - 204
Musical discords and concords .... 205-6
Nodal lines and points ..... 207
Vibrations of fixed rods ..... 208
Vibrations of columns of air - - - - 209
Acoustic figures on vibrating plates - - - - 210
Explanation of the cause producing them - - - 210
Strehlke’s acoustic figures - - - - - 211
Sonorous vibrations of heated metals - - - 212
Chapter X. Magnetism
General Properties of Magnets.
Natural and artificial magnets - - - 213
Arrangement of iron-filings in curved lines - - - 214
TABLE OF CONTENTS. XVII
PAR.
Magnetic poles - - - - - 215
Magnetical attraction and repulsion - - - - 216
Induction of magnetism in iron - - - - 217
Result of the fracture of magnets - - - - 219
Conventional theory of magnetism - 220
Austral and boreal fluids - 221
Compass needle ------ 223
Magnetic meridian ; declination of the needle - - 225
Magnetic equator ; inclination or dip of the needle - - 226
Gradual change in magnetic variations - - - 228
Diurnal variation of the needle - 229
Accidental perturbations of the needle - - - 230
Explanation of the directive force of the earth - - 231
Consecutive magnetic poles - - - - - 232
Excitation of magnetism by induction - - - 233
Different processes for 234
Horse-shoe magnets - - - - - - 235
Coercing force of metals ..... 236
Magnetic intensity of nickel .... 237
Magnetic intensity of the earth - - - - 238
Computation of the earth’s magnetic force by oscillations - 239
Polar properties of non-metallic substances - - - 240
Chapter XI. Electricity
Primary Phenomena.
Excitation of electricity by friction - 241
Electrical attraction and repulsion ... - 242-3
Non-conducting idio-electric, and conducting anelectric bodies 244-5
Insulation ------- 246
Naturally combined state of the two electric fluids - - 247
Electroscopes ------ 248-50
Coulomb’s tonsion electrometer - - - - 251
Table of excited electrics - - - - - 252
Development of electricity by pressure and contact - - 253
Excitation of electricity in tourmaline and zeolite by heat - 254
Electric light and spark - - - - - 255
Superficial distribution of free electricity - - - 256-7
Decomposition of the combined electricities by induction - 258-9
Dielectrics, and inductive capacity - - - - 261
Induction, an action between contiguous particles - - 262
Constant occurrence of induction in electric phenomena - 263
Repulsion an effect of induction .... 264
c
PAR.
Electrophorus - .... 265-6
Difference between quantity and tension - - - 267
Influence of points and terminal surfaces on induction - 268
Primary laws of electro-statics - - - 269
Chapter XII. Electricity
Consequences of Induction.
Invention of the electric machine - - - 270
Description of the cylindric machine - - - 271
Plate electric machine - - - - - 272
Mode of exciting electricity by the machine - - - 273
Source of electricity in the prime conductor - - 274
Use of amalgams, and sulphuret of tin, in aiding the excitation 275 Positive and negative sparks, the effects of discharge - - 276
Pencil and star of electric light - - - - 277
Experiments illustrating electric discharge - - - 278
Induction and discharge in rarefied air - - - 279
Use of Lane’s discharging electrometer - - 280
Electric state of bodies connected with the machine - - 281
Calorific effects of electric discharge - 282
Experiments illustrating electric attraction and repulsion - 283
Development of currents of air, by induction from points - 284
Mechanical effects of electric discharge - - - 285
Luminous discharge in different media - - - 286
Conductive, disrupture, convective discharges - - 287
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