# Euclidean Geometry

Plato inscribed above the portal to his Academy the following words: “Let no one ignorant of geometry enter here.” Following this tradition, Thomas Aquinas insists that a study of mathematics must precede the study of natural philosophy and metaphysics. Thus, this course examines Euclid’s *Elements* both as a fine example of a system of geometry (with definitions, postulates, propositions, and proofs), and as an instance of Greek thought taken more broadly. Topics include triangles, circles, abstract proportions, geomet- ric similarity, number theory, the notion of incommensurability, and solid geometry.

### Class Schedule, 2019 Spring

(updated: 1/21/2019)

MWF section | TR section |
---|---|

Jan 9, Introduction | Jan 8, Introduction |

Jan 11, Definitions | Jan 10, Definitions, Postulates |

Jan 14, Postulates, Common notions, Prop. I.1 | Jan 15, Common notions, Prop. I.1 |

Jan 18, I.2–3 | Jan 17, I.2–5 |

Jan 21, I.4–5 | Jan 22, I.6–10 |

Jan 23, I.5--8 | Jan 24 |

Jan 29 | Jan 31 |

Jan 28 | Feb 5 |

Jan 30 | Feb 7 |

Feb 1 | Feb 12 |

Feb 4 | Feb 19 |