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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... right triangle; and even then it singles out one side, the hypotenuse, as playing a distinctly different role from ... angle. A beautiful theorem? Perhaps, but not exactly a candidate for Miss America. If not elegance, what then is it ...
... angle A, we discover that A increases steadily from just above 45° to 58°. It therefore seems that the author of ... right triangles. This hypothesis may one day be confirmed if the missing part of the tablet shows up, as it may well ...
... right triangle and thus, presumably, to the the fact that 32 + 42 = 52. But there is no evidence whatsoever to support this hypothesis. It is even less plausible that they used the 3-4-5 rope to construct a right angle, as some authors ...
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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 |