## treatise on natural philosophy |

### From inside the book

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Page viii

482 – 491 Integral of

482 – 491 Integral of

**normal**attraction over a closed surface - Equivalent to Poisson ' s extension of Laplace ' s equation - Equivalent to Laplace ' s ... Page x

and resolution of curvatures in a curved line - Laws of flexure and torsion — Warping of

and resolution of curvatures in a curved line - Laws of flexure and torsion — Warping of

**normal**section by torsion sumed relation between density and ... Page xi

... restituent coupleThree principal or

... restituent coupleThree principal or

**normal**axes of torsion and flexureThree principal torsion - flexure rigidities – Three principal or**normal**spirals ... Page xiv

... and internal equilibrium - Surface traction to be made zero - Couple resultant of traction in

... and internal equilibrium - Surface traction to be made zero - Couple resultant of traction in

**normal**section - Hydro - kinetic application of torsional ... Page xv

... condition of no distortion in

... condition of no distortion in

**normal**sec . tions - Surface traction ( P , Q ) , required to prevent distortion in**normal**section - - Correction to do ...### What people are saying - Write a review

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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 | 36 |

Addition | 96 |

STATICS OF SOLIDS AND FLUIDS | 98 |

Rewritten | 102 |

Additiontransient terrestrial nutation of 306 days new | 108 |

Some addition | 340 |

Physical problems relative to plane rectangular and circular | 344 |

Determinateness of potential through space from its value over | 358 |

Figure of the sea level determinable from measurements | 366 |

and 8 374 Same as old | 373 |

Hydrostatic examples resumedNo mutual force between por | 379 |

and 382 Same as old | 380 |

Equilibrium of rotating spheroid of heterogeneous liquid | 398 |

Small alteration | 130 |

Additionintegral curvature horograph new | 137 |

Spiral springsSpiral spring of infinitely small inclination | 144 |

Elastic curve transmitting force and coupleKirchhoffs | 151 |

Fundamental problems of mathematical theoryConditions | 161 |

Wire of any shape disturbed by forces and couples applied | 171 |

Some alteration | 184 |

Plate bent by any forces Conditions of equilibriumEqua | 188 |

190j Addition | 198 |

Symmetrical flexure of flat ringFlexure of flat ring | 200 |

Discrepant reckonings of shear and shearing stress from | 219 |

VOL II | 225 |

Part omitted | 245 |

Small addition | 267 |

by a single bending stress by simultaneous | 268 |

Case of g 647 independently investigated Rapid decrease | 274 |

Footnote new | 276 |

Reference added | 283 |

Problem of 8 696 solved for spherical shellDilatation proved | 286 |

Slight addition | 289 |

Plane strain definedProblem for cylinders under plane | 300 |

Resultant pressure on a plane area Kinetic measure | 317 |

Equilibrium ellipsoid of three unequal axesGeneral problem | 334 |

Addition on calculating machines new | 401 |

Laplaces hypothetical law of density within the earthAs | 406 |

Footnote quoted from old g 830 compare with new 830 | 408 |

Numerical estimates of the amount of tidal frictionSecular | 420 |

8 | 429 |

Extendedbifilar balance new | 435 |

Part rewritten | 443 |

Slightly altered and part omittel | 451 |

STATICS OF A PARTICLE ATTRACTION | 454 |

Equations of Equilibrium of an Elastic Solid deduced from | 461 |

cos | 465 |

On the Secular Cooling of the Earth | 468 |

and 8 479 Small addition | 478 |

494 a to g Theory of potentialattraction of ellipsoids new | 494 |

APPENDIX E On the Age of the Suns Heat | 495 |

Greens problem reduced to the proper general solution | 501 |

APPENDIX G On Tidal Friction by G H Darwin | 503 |

Slight alteration | 507 |

519 | |

520 | |

527 | |

to 8 569 Slight alterations | 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 actual 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 follows force function given gives gravity harmonic heat Hence homogeneous increase inertia infinitely infinitely small integral length less liquid mass matter mean motion normal 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 sphere spherical surface spheroid square strain stress substance suppose surface temperature theory tides tion traction uniform unit whole wire zero