Book of Curves

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.