Book of Curves (Paperback)

Frontispiece: section of the shell of a Pearly Nautilus fossil; Preface; Historical Introduction; Notation; Part I. Special Curves: 1. The parabola; 2. The ellipse; 3. The hyperbola; 4. The cardioid; 5. The limacon; 6. The astroid; 7. The nephroid; 8. The deltoid; 9. The cycloid; 10. The right strophoid; 11. The equiangular spiral; 12. The lemniscate of bernoulli; 13. The tractrix and catenary; Part II. Ways of Finding New Curves: 14. Conchoids; 15. Cissoids; 16. Strophoids; 17. Roulettes; 18. Pedal curves; 19. Negative pedals; 20. Glissettes; 21. Evolutes and involutes; 22. Spirals; 23. Inversion; 24. Caustic curves; 25. Bipolar coordinates; Further reading; Glossary; Index of names; Index of subjects.