treatise on natural philosophy

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ABSTRACT DYNAMICS
1
Partly rewritten
9
Small addition
12
Numerical estimates of the amount of tidal frictionSecular
25
straight line 4734S1
27
PotentialForce in terms of the potentialEquipotential sur
38
Reference to Tide Predicter added 62 Addition
62
Small addition
76
Fluid pressure depending on external forcesSurfaces of equal
307
316 Slight alteration
316
Small alteration
317
Old 329 rewritten and extended
318
Rate of increase of pressurePressure in a cairn atmosphere
319
to 324 Same as old 331 to 33 5
325
to 336 Same as old 318 to 328 with some alterations con
326
A homogeneous ellipsoid is a figure of equilibrium of a
327

Some alteration
90
Bodrigues coordinates new 96 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 30G days new
108
Advance in knowledge of tides since the first editionThe
110
Additionrolling and spinning bodies new
111
Additiondynamics of twist in kinks new
123
Small alteration
130
Additionintegral curvature horograph new
137
Equations of Equilibrium of an Elastio Solid deduced from
165
Wire of any Bhape disturbed by forces and couples applied
171
Some alteration
184
two sufficient proved
190
190j Addition 198 Rewrittendegrees of freedomgeometrical slide new
198
Symmetrical flexure of flat ringFlexure of fiat ring
200
Slight alteration
201
Slight addition
212
Discrepant reckonings of shear and shearing stress from
219
Units of length and time new
223
C
225
Fundamental problems of mathematical theoryConditions
235
Small addition 245 Part omitted
245
St Venants application to torsion problemsTorsion pro
248
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
Beference added
283
Problem of 696 solved for spherical shellDilatation proved
288
Slight addition
289
Considerable addition new
293
Surfacetractions givenComponent tractions on any spheri
294
Small bodies stronger than large ones in proportion to their
300
Transition to hydrodynamicsImperfectness of elasticity
336
Addition including slightly disturbed equilibrium new
337
Extended to include old 342 with addition
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
Determinateness of potential through space from its value over
358
Figure of the sea level determinable from measurements
367
and 374 Same as old
373
to 380 Same as old 375 to 379 with alterations
374
and 382 Same as old
380
to 386 Same as old 381 to 384 Old 385 and 386 omitted
383
398 Harmonic analysis new
398
Equilibrium of rotating spheroid of heterogeneous liquid
400
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 8 10
408
Part rewritten
429
Rewritten
431
Extendedbifilar balance new
435
Appendix B I Tidepredicter new II Equationsolver new ILL to VI Mechanical integrator new VII Harmonic analyser new motion
442
Part rewritten
443
Slightly altered and part omittel
451
Same as part of old 451old 452 omitted
452
and 454 Rewritten
453
particleAngle of repose 455
455
Digression on the division of surfaces into elementsExplana
463
On the Secular Cooling of the Earth
468
Uniform spherical shellAttraction on external pointAt
471
and 479 Small addition
478
Appendix E On the Age of the Suns Heat
495
Potential in free space cannot have a maximum or minimum
498
Appendix G On Tidal Friction by G H Darwin
503
Small alterations and additions
505
Attraction of a spherical surface of which the density varies
519
Addition
15

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