The Pythagorean Theorem: A 4,000-Year HistoryAn exploration of one of the most celebrated and well-known theorems in mathematics |
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... Meets Pythagoras Sidebar 6: A Most Unusual Proof A Theme and Variations Sidebar 7: A Pythagorean Curiosity Sidebar 8: A Case of Overuse 10 Strange Coordinates 11 Notation, Notation, Notation 117 119 123 140 142 145 158 12 From Flat ...
... meet at one point (as do the medians and the angle bisectors). This statement has a certain elegance to it, with its sweeping symmetry: no side or vertex takes precedence over any other; there is a complete democracy among the ...
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Contents
1 | |
4 | |
2 Pythagoras | 17 |
3 Euclids Elements | 32 |
4 Archimedes | 50 |
5 Translators and Commentators 5001500 CE | 57 |
6 François Viète Makes History | 76 |
7 From the Infinite to the Infinitesimal | 82 |
12 From Flat Space to Curved Spacetime | 168 |
13 Prelude to Relativity | 181 |
14 From Bern to Berlin 19051915 | 188 |
15 But Is It Universal? | 201 |
16 Afterthoughts | 208 |
Samos 2005 | 213 |
Appendixes | 219 |
Chronology | 245 |
8 371 Proofs and Then Some | 98 |
9 A Theme and Variations | 123 |
10 Strange Coordinates | 145 |
11 Notation Notation Notation | 158 |
Bibliography | 251 |
Illustrations Credits | 255 |
Index | 257 |