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

- Type
- Chapter
- Information
- New Horizons in Geometry , pp. 401 - 442Publisher: Mathematical Association of AmericaPrint publication year: 2012