## Treatise on Natural PhilosophyThis work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. |

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### Contents

PRELIMINARY | 1 |

Most general Motion of a Rigid Body | 75 |

Precessional RotationModel illustrating Precession of Equi | 82 |

DYNAMICAL LAWS AND PRINCIPLES | 94 |

Free rotation of a Body kinetically symmetrical about an axis | 108 |

StrainDefinition of Homogeneous Strain Properties of | 118 |

Surface rolling on Surface both traces given | 124 |

Integral CurvatureCurvatura integraHorographChange | 136 |

General Theorem of Fundamental Modes of infinitely small | 338 |

Kinetics of a perfect fuidEffect of a Rigid Plane on | 340 |

Characteristic FunctionCharacteristic Equation of Motion | 354 |

Slightly disturbed EquilibriumSimultaneous Transformation | 364 |

Case of Equality among PeriodsGraphic Representation | 366 |

General investigation of Disturbed PathDifferential Equa | 430 |

EXPERIENCE | 440 |

MEASURES AND INSTRUMENTS | 457 |

Conservation of Energy 278 279 | 251 |

Energy in Abstract Dynamics 286288 | 265 |

Deduction of the Equations of Motion of any SystemInde | 271 |

Moment of an Impact about an AxisBallistic Pendulum | 307 |

APPENDIX B CONTINUOUS CALCULATING MACHINES | 479 |

An Instrument for calculating 5 x + x dx the Integral of | 493 |

Mechanical Integration of the general Linear Differential Equation | 500 |

### 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 action actual altered amount angle angular velocity application axes axis becomes body called Cambridge centre circle co-ordinates coefficients complete component condition configuration consider constant corresponding course curvature curve denote described determined differential direction displacement distance equal equations equilibrium Example expression figure finite fixed force function give given harmonic Hence inertia infinitely small initial instant integral kinetic energy length less mass matter mean measured motion moving natural negative observations parallel particle particular passing path period perpendicular plane portion position present principal problem produced proved quantities radius reference relative remain remarkable respectively resultant rigid rolling roots rotation round side simple solution space spherical strain suppose surface tangent theorem tion trace turn twist unit values whole