Unformatted text preview: Should we be impressed? ◦ E²ect on Pythagoreans? • Sign over the entrance to Plato’s Academy: “Let no ungeometrical person enter.” • Eudoxus ◦ Theory of proportion ◦ Method of Exhaustion: Indirectly lets us ascertain volume by approximation. Euclid • Elements ◦ Miscellaneous ⋆ Oldest extant manuscript: 4th century AD? ⋆ With few exceptions, the individual results are not original to Euclid, but the organization probably is. ⋆ Intended as a textbook, not a research monograph. ⋆ Not intended to contain all known results. ⋆ Elements in the sense of fundamental, not in the sense of simple and uncomplicated. ⋆ Synthetic rather than analytic . ◦ Superlatives ⋆ Eves: “No work, except the Bible, has been more widely used, edited, or studied, and probably no work has exercised a greater in³uence on scienti±c thinking.” ⋆ Over 1000 editions ⋆ ´irst printed in 1482...
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 Fall '10
 wen
 Geometry, Angles, Pythagorean Theorem, Euclidean geometry, Pierre Wantzel, ungeometrical person enter

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