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Non-Euclidean Geometry
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Environment:Made in USA
Author/Editor: Stefan Kulczycki
ISBN 10:0486462641
Product Info:Details, Table of Contents
This accessible approach features two varieties of proofs: stereometric and planimetric, as well as elementary proofs that employ only the simplest properties of the plane. A short history of geometry precedes a systematic exposition of the principles of non-Euclidean geometry.
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Product Description:

This accessible approach features two varieties of proofs: stereometric and planimetric, as well as elementary proofs that employ only the simplest properties of the plane. A short history of geometry precedes a systematic exposition of the principles of non-Euclidean geometry.
Starting with fundamental assumptions, the author examines the theorems of Hjelmslev, mapping a plane into a circle, the angle of parallelism and area of a polygon, regular polygons, straight lines and planes in space, and the horosphere. Further development of the theory covers hyperbolic functions, the geometry of sufficiently small domains, spherical and analytical geometry, the Klein model, and other topics. Appendixes include a table of values of hyperbolic functions.
Reprint of the Pergamon Press, Inc., New York, 1961 edition.
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Product Details:

ISBN 10: 0486462641
ISBN 13: 9780486462646
Author/Editor: Stefan Kulczycki
Format: Book
Page Count: 208
Dimensions: 5 3/8 x 8 1/2
Publication date: February 2008
Table of Contents: Click here to view the Table of Contents

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