Advanced Euclidean Geometry

Roger A. Johnson

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ISBN 10: 0486462374 ISBN 13: 9780486462370

Published by Dover Publications, Inc., 2007

Language: English

Condition: New Soft cover

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Bibliographic Details

Title

Advanced Euclidean Geometry

Publisher

Dover Publications, Inc.

Publication Date

2007

Language

English

ISBN 10

0486462374

ISBN 13

9780486462370

Binding

Paperback

Condition

New

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MATHEMATICS

About this title

Synopsis

For many years, this elementary treatise on advanced Euclidean geometry has been the standard textbook in this area of classical mathematics; no other book has covered the subject quite as well. It explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. Several hundred theorems and corollaries are formulated and proved completely; numerous others remain unproved, to be used by students as exercises.
The author makes liberal use of circular inversion, the theory of pole and polar, and many other modern and powerful geometrical tools throughout the book. In particular, the method of "directed angles" offers not only a powerful method of proof but also furnishes the shortest and most elegant form of statement for several common theorems. This accessible text requires no more extensive preparation than high school geometry and trigonometry.

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