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CHAPTER 20. Pierre Wantzel
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Kapitel in diesem Buch
- Frontmatter i
- Contents vii
- Preface xi
- Introduction 1
- CHAPTER 1. The Four Problems 7
- CHAPTER 1. The Four Problems 25
- CHAPTER 3. Compass-and- Straightedge Constructions 38
- CHAPTER 4. The First Mathematical Crisis 56
- CHAPTER 5. Doubling the Cube 69
- CHAPTER 6. The Early History of π 81
- CHAPTER 7. Quadratures 95
- CHAPTER 8. Archimedes’s Number 108
- CHAPTER 9. The Heptagon, the Nonagon, and the Other Regular Polygons 137
- CHAPTER 10. Neusis Constructions 146
- CHAPTER 11. Curves 160
- CHAPTER 12. Getting By with Less 178
- CHAPTER 13. The Dawn of Algebra 196
- CHAPTER 14. Viète’s Analytic Art 219
- CHAPTER 15. Descartes’s Compass-and- Straightedge Arithmetic 233
- CHAPTER 16. Descartes and the Problems of Antiquity 254
- CHAPTER 17. Seventeenth- Century Quadratures of the Circle 268
- CHAPTER 18. Complex Numbers 288
- CHAPTER 19. Gauss’s 17-gon 302
- CHAPTER 20. Pierre Wantzel 320
- CHAPTER 21. Irrational and Transcendental Numbers 348
- EPILOGUE. Sirens or Muses? 367
- Notes 369
- References 405
- Index 429
Kapitel in diesem Buch
- Frontmatter i
- Contents vii
- Preface xi
- Introduction 1
- CHAPTER 1. The Four Problems 7
- CHAPTER 1. The Four Problems 25
- CHAPTER 3. Compass-and- Straightedge Constructions 38
- CHAPTER 4. The First Mathematical Crisis 56
- CHAPTER 5. Doubling the Cube 69
- CHAPTER 6. The Early History of π 81
- CHAPTER 7. Quadratures 95
- CHAPTER 8. Archimedes’s Number 108
- CHAPTER 9. The Heptagon, the Nonagon, and the Other Regular Polygons 137
- CHAPTER 10. Neusis Constructions 146
- CHAPTER 11. Curves 160
- CHAPTER 12. Getting By with Less 178
- CHAPTER 13. The Dawn of Algebra 196
- CHAPTER 14. Viète’s Analytic Art 219
- CHAPTER 15. Descartes’s Compass-and- Straightedge Arithmetic 233
- CHAPTER 16. Descartes and the Problems of Antiquity 254
- CHAPTER 17. Seventeenth- Century Quadratures of the Circle 268
- CHAPTER 18. Complex Numbers 288
- CHAPTER 19. Gauss’s 17-gon 302
- CHAPTER 20. Pierre Wantzel 320
- CHAPTER 21. Irrational and Transcendental Numbers 348
- EPILOGUE. Sirens or Muses? 367
- Notes 369
- References 405
- Index 429