treatise on natural philosophy

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Contents

ABSTRACT DYNAMICS
1
Fluid pressure depending on external forcesSurfaces of equal
13
Rate of increase of pressurePressure in a calm atmosphere
29
PotentialForce in terms of the potentialEquipotential sur
36
Second investigation of attraction of ellipsoidElliptic
70
Centre of gravityCentrobaric bodies proved possible
82
Some alteration
90
Addition
96
Addition including slightly disturbed equilibrium new
337
Same as nonmathematical portion of old g
343
Physical problems relative to plane rectangular and circular
344
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
to 8 380 Same as old 375 to 379 with alterations
374
and 382 Same as old
380

STATICS OF SOLIDS AND FLUIDS
98
Rewritten
102
Additiontransient terrestrial nutation of 306 days new
108
Small alteration
130
Additionintegral curvature horograph new
137
Spiral springsSpiral spring of infinitely small inclination
144
Elastic curve transmitting force and coupleKirchhoffs
151
Some alteration
184
ferential equation of the bent surface 643 614
188
190j Addition
198
Symmetrical flexure of flat ringFlexure of flat ring
200
Transmission of force through an elastic solidHomogeneous
206
Slight addition
212
Homogeneousness definedMolecular hypothesis assumes
216
Units of length and time new
223
Fundamental problems of mathematical theoryConditions
234
Part omitted
245
VOL II
256
Small addition
267
by a single bending stress by simultaneous
268
Case of g 647 independently investigatedRapid decrease
274
Footnote new
276
Reference added
283
Problem of 696 solved for spherical shellDilatation proved
286
Slight addition
289
Plane strain definedProblem for cylinders under plane
298
Resultant pressure
305
Loss of apparent weight by immersion in a fluidLemma 762 763
320
to 324 Same as old 331 to 8 335
325
A homogeneous ellipsoid is a figure of equilibrium of a
329
398 Harmonic analysis new
393
Equilibrium of rotating spheroid of heterogeneous liquid
398
Addition on calculating machines new
401
Footnote quoted from old g 830 compare with new 830
408
Numerical estimates of the amount of tidal frictionSecular
420
Rewritten
431
Part rewritten
443
Slightly altered and part omitte l
452
and 454 Rewritten
453
455
455
Small omission
458
Advance in knowledge of tides since the first editionThe
460
On the Secular Cooling of the Earth
468
and 479 Small addition
478
S and 492 Slight alteration
491
Integral of normal attraction over a closed surface new
493
Digression on the attraction of an ellipsoidTo find
494
APPENDIX E On the Age of the Suns Heat
495
Small addition
496
Greens problem reduced to the proper general solution
501
APPENDIX G On Tidal Friction by G H Darwin
503
Small alterations and additions
505
Part rewritten
506
Slight alteration
507
Attraction of a spherical surface of which the density varies
519
Distribution of electricity on an ellipsoidal conductor new
520
to 8 525 Attraction of Homoeoids new including old
522
to 530 Mathematical part of old 519 rewritten 531 Old 524 rewritten 532 Old 521 rewritten 533 Same as old 525 with small addition 8 534 Sa...
527
Addition
8

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