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

### From inside the book

Results 1-5 of 16

Page x

...

...

**Polygon**- Reciprocal Polars on a Sphere - Integral change of direction in a Surface - Change of direction in a Sur- face of any arc traced on it • Integral Curvature — Curvatura integra - Horograph - Change of direction round the ... Page 3

... we speak of a plane

... we speak of a plane

**polygon**or broken line . If various points of the line do not lie in one plane , we have in one case what is called a curve of double Tortuous curve . Curvature and tortu- osity . curvature , 1-2 6. ] 3 KINEMATICS . Page 4

...

...

**polygon**. The term ' curve of double curvature ' is very bad , and , though in very general use , is , we hope , not ...**polygon**whose sides are indefinitely small . Any two consecutive sides , of course , lie in a plane - and in ... Page 7

...

...

**polygon**be closed or not . If closed , then , as long as it is not crossed , this sum is four right angles , an extension of the result in Euclid , where all re - entrant**polygons**are excluded . In the case of the star - shaped figure ... Page 15

...

...

**polygon**whatever , whether in one plane or not , taken all in the same order , is zero . Hence also the resultant of velocities represented by all the sides of a**polygon**but one , taken in order , is represented by that one taken in ...### 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.