Treatise On Natural Philosophy

Front Cover
CUP Archive, Oct 27, 2022 - History - 564 pages

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Contents

ABSTRACT DYNAMICS
1
Fluid pressure depending on external forcesSurfaces of equal
4
Conditions of equilibrium of a particleEquilibrium of
8
Partly rewritten
9
Small addition
12
Rate of increase of pressurePressure in a calm atmosphere
29
PotentialForce in terms of the potentialEquipotential sur
36
Potential in free space cannot have a maximum or minimum
49
Slight alteration
316
Small alteration
317
Old 329 rewritten and extended
318
Old 330with considerable additionsignoration of coordinates new
319
Loss of apparent weight by immersion in a fluidLemma
320
to 324 Same as old 331 to
325
to 336 Same as old 318 to 328 with some alterationscon
326
A homogeneous ellipsoid is a figure of equilibrium of a
327

Greens problem reduced to the proper general solution
56
Reference to Tide Predicter added
58
Addition
62
Second investigation of attraction of ellipsoidElliptic
66
Small addition
76
Origin of spherical harmonic analysis of Legendre and
84
Some alteration
90
Rodrigues coordinates new
95
Addition
96
Small addition
97
STATICS OF SOLIDS AND FLUIDS
98
Somewhat altered
100
Rewritten and enlarged
101
Rewritten
102
Addition
107
Additiontransient terrestrial nutation of 306 days new
108
Slight alteration
110
Additionrolling and spinning bodies new
111
Additiondynamics of twist in kinks new
123
Equilibrium of a flexible and inextensible cordCatenary
128
Small alteration
130
Additionintegral curvature horograph new
137
Spiral springsSpiral spring of infinitely small inclination
144
Elastic curve transmitting force and coupleKirchhoffs
151
Exhaustion of potential energyGreens methodExhaustion
152
Flexure of a plane elastic plateDefinitionsGeometrical
174
Some alteration
184
Plate bent by any forcesConditions of equilibriumEqua
188
190j Addition 198 Rewrittendegrees of freedomgeometrical slide new
198
Symmetrical flexure of flat ringFlexure of flat ring
200
Slight alteration
201
Transmission of force through an elastic solidHomogeneous
206
Slight addition
212
Homogeneousness definedMolecular hypothesis assumes
216
longitudinal extension different for different substances
222
Units of length and time new
223
Small addition
225
Fundamental problems of mathematical theoryConditions
233
St Venants application to torsion problemsTorsion pro
240
Part omitted
245
Small addition
267
by a single bending stress by simultaneous
268
Case of 647 independently investigatedRapid decrease
274
Footnote new
276
Definition of Principal axes new
282
Reference added
283
Problem of 696 solved for spherical shellDilatation proved
286
Slight addition
289
Considerable addition new
293
cal surface concentric with origin harmonically expressed
294
Small alterations and additions
298
Plane strain definedProblem for cylinders under plane
300
Addition
312
Equilibrium ellipsoid of three unequal axesGeneral problem
334
Transition to hydrodynamicsImperfectness of elasticity
336
Addition including slightly disturbed equilibrium new
337
338
338
Some addition
340
Digression on spherical harmonicsHarmonic spheroidHar
341
Same as nonmathematical portion of old
343
Physical problems relative to plane rectangular and circular
344
345 i to xxviii Oscillations with frictiondissipation of energyposi tional and motional forcesgyrostaticsstability new
345
Harmonic spheroidal levels of high ordersUndulation of level
352
Figure of the sea level determinable from measurements
367
and 374 Same as old
373
Hydrostatic examples resumedNo mutual force between por
379
to
380
and
382
to
386
Equilibrium of rotating spheroid of heterogeneous liquid
398
Addition on calculating machines new
401
Rewritten
404
Footnote quoted from old 830 compare with new 830
405
Slight alteration
408
409 Rewritten
409
Comparison of Laplaces hypothesis with observationThe
415
Numerical estimates of the amount of tidal frictionSecular
420
427
427
Part rewritten
429
Rewritten
431
Extendedbifilar balance new
435
Part rewritten
443
Slightly altered and part omittel
451
Same as part of old 451old 452 omitted
452
and 454 Rewritten
453
455
455
Small omission
458
Advance in knowledge of tides since the first editionThe
460
99
467
On the Secular Cooling of the Earth
468
and 479 Small addition
478
APPENDIX E On the Age of the Suns Heat
485
f and 492 Slight alteration
491
Integral of normal attraction over a closed surface new
493
494
494
APPENDIX F On the Size of Atoms
495
Small addition
496
Example added
501
APPENDIX G On Tidal Friction by G H Darwin
503
Part rewritten
506
Slight alteration
507
Old 520 rewritten including part of
519
Equationsolver new
520
to
525
and
527

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