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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... Einstein 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 ...
... Einstein, and still another by a young blind girl. Some of these proofs are breathtaking in their simplicity, while others are incredibly complex. The theorem itself is known by various names: the theorem of Pythagoras, the hypotenuse ...
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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 |