New Horizons in Geometry (Hardcover)

Preface
Introduction
Foreword
1. Mamikon’s Sweeping Tangent Theorem
2. Cycloids and Trochoids
3. Cyclogons and Trochogons
4. Circumgons and Circumsolids
5. The Method of Punctured Containers
6. Unwrapping Curves from Cylinders and Cones
7. New Descriptions of Conics via Twisted Cylinders, Focal Disks, and Directors
8. Ellipse to Hyperbola: “With This String I Thee Wed”
9. Trammels
10. Isoperimetric and Isoparametric Problems
11. Arclength and Tanvolutes
12. Centroids
13. New Balancing Principles with Applications
14. Sums of Squares
15. Appendix
Bibliography
Index
About the Authors