
eBook - ePub
Circle
A Mathematical Exploration beyond the Line
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
About this book
The circle has fascinated mathematicians since ancient times. This entertaining book describes in layperson's terms the many intriguing properties of this fundamental shape. If math has intimidated you, this may be the ideal book to help you appreciate the discipline through one of its most important elements. The authors begin with a brief review of the basic properties of the circle and related figures. They then show the many ways in which the circle manifests itself in the field of geometry-leading to some amazing relationships and truly important geometric theorems. In addition, they explore remarkable circle constructions and demonstrate how all constructions in geometry that usually require an unmarked straightedge and a compass can also be done with the compass alone. Among other things, the reader will learn that circles can generate some unusual curves - many even quite artistic. Finally, the role of circles in art and architecture and a discussion of the circle's place on the sphere bring "full circle" this presentation of a key element of geometry.
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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Circle by Alfred S. Posamentier,Robert Geretschlager in PDF and/or ePUB format, as well as other popular books in Mathématiques & Géométrie algébrique. We have over one million books available in our catalogue for you to explore.
Information
Topic
MathématiquesSubtopic
Géométrie algébriqueTable of contents
- Cover
- Title Page
- Copyright Page
- Dedication Page
- CONTENTS
- Acknowledgments
- Introduction
- 1. Circle Relationships in Basic Plane Geometry—and an Extension
- 2. The Circle's Special Role in Geometry
- 3. Famous Theorems about Circles
- 4. Circle-Packing Problems
- 5. Investigation of Equicircles
- 6. Circle Constructions: The Problem of Apollonius
- 7. Inversion: Circle Symmetry
- 8. Mascheroni Constructions: Using Only Compasses
- 9. Circles in Art and Architecture
- 10. Rolling Circles: Hypocycloids and Epicycloids
- 11. Spherical Geometry—Circles on the Sphere
- Afterword: A Cultural Introduction to the Circle
- Appendixes
- Notes
- Bibliography
- Index