## Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World, Volume 1First translated from the Latin by Andrew Motte in 1729, the translation has been revised, the antiquated mathematical terms have been rephrased in terms intelligible to the modern scientist, and an historical and explanatory appendix has been supplied by Florian Cajori, one-time Professor of the History of Mathematics in the University of California, Berkeley campus. |

### Contents

Motion of bodies in given surfaces and the oscillating pendu | 148 |

Motion of bodies tending to each other with centripetal forces | 164 |

Attractive forces of spherical bodies | 193 |

Attractive forces of bodies which are not spherical | 214 |

Motion of very small bodies when agitated by centripetal forces | 226 |

SECTION IN RESISTING MEDIUMS PAGE | 235 |

RULES OF REASONING IN PHILOSOPHY 398 | 393 |

### Other editions - View all

Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His ... Isaac Newton Limited preview - 2022 |

Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His ... Isaac Newton Limited preview - 2022 |

### Common terms and phrases

¹ Appendix accelerative altitude angle VCP apse arc described arising ascent asymptote attracting body augmented axis body describes body revolving centre of force centre of gravity centripetal force common centre conic section corpuscle cube curved line cycloid cylinder decrease density descent diameter difference diminished direction distance drawn ellipse equal figure fluid focus force of gravity fore geometrical progression given points given ratio globe greater Hence hyperbola inches infinitely infinitum inversely latus rectum LEMMA length let fall meeting nonresisting orbit ordinate oscillations parabola parallel parallelogram particles pendulum perpendicular plane principal vertex Prop propagated PROPOSITION quadratures quantity radius rectangle rectilinear resistance right line SCHOLIUM sides sine spaces described sphere spherical square root suppose surface syzygies tangent thence THEOREM things tion triangles uniformly velocity vertex vessel weight whole