## Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |

### From inside the book

Results 1-5 of 66

Page ix

... of , Harmonic Motions in one Line 58-61 62 Composition of S. H. M. in different directions , including Composition of two Uniform Circular Motions 63-74 Fourier's Theorem • 75-77

... of , Harmonic Motions in one Line 58-61 62 Composition of S. H. M. in different directions , including Composition of two Uniform Circular Motions 63-74 Fourier's Theorem • 75-77

**Displacements**of a Plane Figure in its Plane - Composition. Page x

William Thomson Kelvin (1st baron), Peter Guthrie Tait.

William Thomson Kelvin (1st baron), Peter Guthrie Tait.

**Displacements**of a Plane Figure in its Plane - Composition of Rotations about Parallel Axes - Composition of Rota- tions and Translations in One Plane - Superposition of Small ... Page xi

...

...

**Displacement**of a Body , rigid or not , one point of which is held fixed Analysis of a Strain into Distortion and Rotation Pure Strain - Composition of Pure Strains • •**Displacement**of a Curve - Tangential**Displacement**— Tan- gential ... Page xii

...

...

**Displacement**- For two Forces , Motions , Ve- locities , or Momentums , in one Plane , the Sum of their Moments proved equal to the Moment of their Resultant round any point in that Plane - Any number of Moments in one Plane compounded ... Page xv

...

...

**Displacements**from Equilibrium - Theorem of Kinetic Energy - Of Potential Energy - Infinitesimal Motions in neighbourhood of Configuration of Unstable Equilibrium Case of Equality among Periods - Graphic Representation- Dissipative ...### Contents

231 | |

250 | |

251 | |

264 | |

271 | |

282 | |

303 | |

340 | |

102 | |

108 | |

114 | |

119 | |

125 | |

128 | |

136 | |

148 | |

154 | |

160 | |

167 | |

219 | |

354 | |

361 | |

366 | |

384 | |

392 | |

428 | |

440 | |

454 | |

479 | |

490 | |

498 | |

### Other editions - View all

### Common terms and phrases

acceleration action algebraic altered angular velocity anticlastic application axis Cambridge centre of inertia circle co-ordinates coefficients component condition configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dx dy dy dy dy dz ellipsoid elongation equal equations of motion equilibrium expression finite fixed force formula function geometrical given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy length linear momentum moving negative osculating plane P₁ parallel particle perpendicular polygon position principal axes quadratic quadratic function quantity radius ratio rectangular resultant right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values whole Y₁ λ² аф

### Popular passages

Page 241 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.