Non-Euclidean Geometry : : Fifth Edition /

Non-Euclidean Geometry : : Fifth Edition / / H.S.M. Coxeter.

The name non-Euclidean was used by Gauss to describe a system of geometry which differs from Euclid's in its properties of parallelism. Such a system was developed independently by Bolyai in Hungary and Lobatschewsky in Russia, about 120 years ago. Another system, differing more radically from...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter University of Toronto Press eBook-Package Archive 1933-1999
VerfasserIn:
Coxeter, H.S.M.,
Place / Publishing House:Toronto : : University of Toronto Press, , [2019]
©1965
Year of Publication:2019
Language:English
Series:Heritage
Online Access:
Physical Description:1 online resource (326 p.)
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Table of Contents:
  • Frontmatter
  • PREFACE
  • CONTENTS
  • I. THE HISTORICAL DEVELOPMENT OF NON-EUCLIDEAN GEOMETRY
  • II. REAL PROJECTIVE GEOMETRY: FOUNDATIONS
  • III. REAL PROJECTIVE GEOMETRY: POLARITIES, CONICS AND QUADRICS
  • IV. HOMOGENEOUS COORDINATES
  • V. ELLIPTIC GEOMETRY IN ONE DIMENSION
  • VI. ELLIPTIC GEOMETRY IN TWO DIMENSIONS
  • VII. ELLIPTIC GEOMETRY IN THREE DIMENSIONS
  • VIII. DESCRIPTIVE GEOMETRY
  • IX. EUCLIDEAN AND HYPERBOLIC GEOMETRY
  • X. HYPERBOLIC GEOMETRY IN TWO DIMENSIONS
  • XI. CIRCLES AND TRIANGLES
  • XII. THE USE OF A GENERAL TRIANGLE OF REFERENCE
  • XIII. AREA
  • XIV. EUCLIDEAN MODELS
  • XV. CONCLUDING REMARKS
  • BIBLIOGRAPHY
  • INDEX

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