Treatise on Natural Philosophy, Volume 2

Front Cover

From inside the book

Contents

Greens problem reduced to the proper general solution
56
Reference to Tide Predicter added
58
Addition
62
Second investigation of attraction of ellipsoidElliptic
68
Small addition
76
Centre of gravityCentrobaric bodies proved possible
82
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
Slight addition
212
Homogeneousness definedMolecular hypothesis assumes
216
Units of length and time new
223
C
225
Stress required to maintain a simple longitudinal strain
232
St Venants application to torsion problemsTorsion pro
240
Part omitted
245
Torsional rigidity less in proportion to sum of principal
258
Small addition
267
by a single bending stress by simultaneous
268
Case of 647 independently investigatedRapid decrease
274
Footnote new
276
Application to problem of 696General problem of 696
280
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
Surfacetractions givenComponent tractions on any spheri
294
Small alterations and additions
298
Addition
312
Small alteration
317
Addition including slightly disturbed equilibrium new
337
Some addition
338
450452
339
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
354
mately spherical equipotential surface round the mass
364
and 374 Same as old
373
to 380 Same as old 375 to 379 with alterations
374
Hydrostatic examples resumedNo mutual force between por
379
and 382 Same as old
380
383 to 386 Same as old 381 to 384 Old 385 and 386 omitted
383
Equilibrium of rotating spheroid of heterogeneous liquid
398
Addition on calculating machines new
401
Rewritten
404
Laplaces hypothetical law of density within the earthAs
406
Footnote quoted from old 830 compare with new 830
408
Rewritten
409
Comparison of Laplaces hypothesis with observationThe
415
Numerical estimates of the amount of tidal frictionSecular
420
Part rewritten
429
Rewritten
431
Extendedbifilar balance new Appendix B I Tidepredicter new II Equationsolver new III to VI Mechanical integrator new VII Harmonic analyser ne...
435
Part rewritten
443
Advance in knowledge of tides since the first editionThe
450
Slightly altered and part omittel
451
Same as part of old 451old 452 omitted
452
and 454 Rewritten
453
Small omission
455
458
458
Equations of Equilibrium of an Elastic Solid deduced from
461
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
457462
519
Distribution of electricity on an ellipsoidal conductor new
520
732734
521
Attraction of Homoeoids new including old
523
627642
524
to
525
and
527

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