Euclidean and Non-Euclidean Geometry: An Analytic Approach

By Patrick J. Ryan.

Euclidean and Non-Euclidean Geometry: An Analytic Approach

Description

This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary purpose is to acquaint the reader with the classical results of plane Euclidean and nonEuclidean geometry, congruence theorems, concurrence theorems, classification of isometries, angle addition and trigonometrical formulae. However, the book not only provides students with facts about and an understanding of the structure of the classical geometries, but also with an arsenal of computational techniques for geometrical investigations. The aim is to link cl...

ISBN(s)

0521276357, 9780521276351

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