*Philosophiæ Naturalis Principia Mathematica*

** Philosophiæ Naturalis Principia Mathematica** (English:

*The Mathematical Principles of Natural Philosophy*)[1] often referred to as simply the

**(/prɪnˈsɪpiə, prɪnˈkɪpiə/), is a book by Isaac Newton that expounds Newton's laws of motion and his law of universal gravitation. The**

*Principia**Principia*is written in Latin and comprises three volumes, and was first published on 5 July 1687.[2][3]

Author | Sir Isaac Newton |
---|---|

Original title | Philosophiæ Naturalis Principia Mathematica |

Language | Neo-Latin |

Publication date | 1687 (1st ed.) |

Published in English | 1728 |

LC Class | QA803 .A53 |

Original text | at Latin WikisourcePhilosophiæ Naturalis Principia Mathematica |

Translation | Philosophiæ Naturalis Principia Mathematica at Wikisource |

The *Principia* is considered one of the most important works in the history of science.[4] The French mathematical physicist Alexis Clairaut assessed it in 1747: "The famous book of *Mathematical Principles of Natural Philosophy* marked the epoch of a great revolution in physics. The method followed by its illustrious author Sir Newton ... spread the light of mathematics on a science which up to then had remained in the darkness of conjectures and hypotheses."[5]

A more recent assessment has been that while acceptance of Newton's laws was not immediate, by the end of the century after publication in 1687, "no one could deny that" (out of the *Principia*) "a science had emerged that, at least in certain respects, so far exceeded anything that had ever gone before that it stood alone as the ultimate exemplar of science generally".[6]

The *Principia* forms the foundation of classical mechanics. Among other achievements, it explains Johannes Kepler's laws of planetary motion, which Kepler had first obtained empirically. In formulating his physical laws, Newton developed and used mathematical methods now included in the field of calculus, expressing them in the form of geometric propositions about "vanishingly small" shapes.[7] In a revised conclusion to the *Principia* , Newton emphasized the empirical nature of the work with the expression *Hypotheses non fingo* ("I frame/feign no hypotheses").[8]

After annotating and correcting his personal copy of the first edition,[9] Newton published two further editions, during 1713[10] with errors of the 1687 corrected, and an improved version[11] of 1726.[10]