## Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World, Volume 2I consider philosophy rather than arts and write not concerning manual but natural powers, and consider chiefly those things which relate to gravity, levity, elastic force, the resistance of fluids, and the like forces, whether attractive or impulsive; and therefore I offer this work as the mathematical principles of philosophy.In the third book I give an example of this in the explication of the System of the World. I derive from celestial phenomena the forces of gravity with which bodies tend to the sun and other planets. |

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### Contents

Section 1 | 397 |

Section 2 | 398 |

Section 3 | 400 |

Section 4 | 401 |

Section 5 | 406 |

Section 6 | 442 |

Section 7 | 450 |

Section 8 | 453 |

Section 12 | 465 |

Section 13 | 467 |

Section 14 | 468 |

Section 15 | 505 |

Section 16 | 509 |

Section 17 | 543 |

Section 18 | 549 |

Section 19 | 551 |

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according action angle aphelions apogee apparent diameter appear arise ascending astronomers attraction axis bodies Book Cellio centripetal force circle circumsolar comet common centre computation curvature density Descartes describe difference diminished diurnal motion earth earth's orbit eccentricity ecliptic edition ellipse equal equator ether fixed stars force of gravity given greater head heat heavens height hence hour Huygens hypotheses hypotheses non fingo inversely Jupiter latitude Leibniz Lemma length less light longitude luminaries magnitude mean distance mean motion meridian moon moon's orbit move nearer nearly Newton nodes observations octants parabola parallax Paris feet particles pendulum perigee perihelion perpendicular planets Principia Prop proportion PROPOSITION quadratures quantity of matter radius drawn ratio revolution revolved right line satellites Saturn Scholium seen semidiameter sine space sphere splendor square sun's suppose surface syzygies tails of comets telescope theory thereof third tion vapor velocity whole