Table of Contents

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. Sums of squares; 14. Appendix.

Promotional Information

A beautifully illustrated collection of striking and original results in geometry. Recommended for students and teachers of geometry and calculus.

About the Author

Tom Apostol is an Emeritus Professor of Mathematics at the California Institute of Technology. Mamikon Mnatsakanian is Project Associate at 'Project Mathematics!' at the California Institute of Technology.