The Pythagorean Theorem: A 4,000-Year HistoryFrontmatter --Contents --List of Color Plates --Preface --Prologue: Cambridge, England, 1993 --1. Mesopotamia, 1800 BCE --Sidebar 1: Did the Egyptians Know It? --2. Pythagoras --3. Euclid's Elements --Sidebar 2: The Pythagorean Theorem in Art, Poetry, and Prose --4. Archimedes --5. Translators and Commentators, 500-1500 CE --6. François Viète Makes History --7. From the Infinite to the Infinitesimal --Sidebar 3: A Remarkable Formula by Euler --8. 371 Proofs, and Then Some --Sidebar 4: The Folding Bag --Sidebar 5: Einstein Meets Pythagoras --Sidebar 6: A Most Unusual Proof --9. A Theme and Variations --Sidebar 7: A Pythagorean Curiosity --Sidebar 8: A Case of Overuse --10. Strange Coordinates --11. Notation, Notation, Notation --12. From Flat Space to Curved Spacetime --Sidebar 9: A Case of Misuse --13. Prelude to Relativity --14. From Bern to Berlin, 1905-1915 --Sidebar 10: Four Pythagorean Brainteasers --15. But Is It Universal? --16. Afterthoughts --Epilogue: Samos, 2005 --Appendixes --Chronology --Bibliography --Illustrations Credits --Index. |
Contents
Cambridge England 1993 | 1 |
Pythagoras | 17 |
Euclids Elements | 32 |
The Pythagorean Theorem in Art Poetry | 45 |
Translators and Commentators 5001500 ce | 57 |
François Viète Makes History | 76 |
From the Infinite to the Infinitesimal | 82 |
A Remarkable Formula by Euler | 94 |
11 | 158 |
12 | 168 |
Samos 2005 | 213 |
A How did the Babylonians Approximate 2 | 219 |
E F G H A Proof that 2 is Irrational | 229 |
Chronology | 245 |
| 251 | |
| 262 | |
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