The Circle: A Mathematical Exploration beyond the Line

Alfred S. Posamentier,Robert Geretschlager

The Circle: A Mathematical Exploration beyond the Line
Format
Hardback
Publisher
Prometheus Books
Country
United States
Published
23 August 2016
Pages
300
ISBN
9781633881679

The Circle: A Mathematical Exploration beyond the Line

Alfred S. Posamentier,Robert Geretschlager

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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