Chapters in this book

1. Frontmatter i
2. Contents ix
3. Preface xiii
4. Acknowledgments xvii
5. Chapter One. The Euler Spiral 1
6. Chapter Two. The Weierstrass Curve 15
7. Chapter Three. Bézier Curves 32
8. Chapter Four.66 The Rectangular Hyperbola 50
9. Chapter Five. The Quadratrix of Hippias 66
10. Chapter Six. Two Space-Filling Curves 85
11. Chapter Seven. Curves of Constant Width 104
12. Chapter Eight. The Normal Curve 126
13. Chapter Nine. The Catenary 155
14. Chapter Ten. Elliptic Curves 183
15. Perhaps the Most Important Curve of All 227
16. Appendix A. The Title Page 229
17. Appendix B. Conics Encapsulated 232
18. Appendix C. A Trigonometric Variant for the Bézier Curve 234
19. Appendix D. Envelopes 236
20. Appendix E. The Mathematics of an Arch 240
21. Appendix F. The Simple Pendulum 242
22. Appendix G. Fibonacci’s Method 243
23. References 247
24. Index 255