Geometry Civilized: History, Culture, and Technique

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Clarendon Press, 2000 - Mathematics - 309 pages
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This lavishly illustrated book provides an unusually accessible approach to geometry by placing it in historical context. With concise discussions and carefully chosen illustrations the author brings the material to life by showing what problems motivated early geometers throughout the world. Geometry Civilized covers classical plane geometry, emphasizing the methods of Euclid but also drawing on advances made in China and India. It includes a wide range of problems, solutions, and illustrations, as well as a chapter on trigonometry, and prepares its readers for the study of solid geometry and conic sections.

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Contents

An old story
8
From points to proof
49
Tricks with triangles
84
Many cheerful facts about the square of the hypotenuse
143
From polygons to pi
189
Tough knots
269
Bibliography
297
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About the author (2000)

John L Heilbron, MA, PhD, April House, Shilton, Burford, OX18 4AB Telephone/fax: (01993) 840830

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