## 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 |

519 | |

520 | |

522 | |

527 | |

Addition | 8 |

### Other editions - View all

Treatise on Natural Philosophy, Part 1 William Thomson,William Thomson, Peter Guthrie Tait No preview available - 2010 |

### Common terms and phrases

according acting action amount angle applied approximately attraction axes axis becomes body called centre components condition consider constant corresponding couple curvature curve denote density determined direction distance distribution disturbing earth edge elastic element ellipsoid ellipticity energy equal equations equilibrium example expression external figure flexure fluid force function given gives gravity harmonic heat Hence homogeneous increase inertia infinitely infinitely small integral length liquid mass matter mean motion parallel perpendicular plane plate portion positive potential present pressure principal probable problem produce proved radius remark resultant rigid rotation round shows sides simple solid solution space spherical surface square strain stress substance suppose surface temperature theory tides tion traction uniform unit whole wire zero