Book contents
- Frontmatter
- PREFACE TO THE SIXTH EDITION
- 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
- APPENDIX: ANGLES AND ARCS IN THE HYPERBOLIC PLANE
- BIBLIOGRAPHY
- INDEX
XV - CONCLUDING REMARKS
- Frontmatter
- PREFACE TO THE SIXTH EDITION
- 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
- APPENDIX: ANGLES AND ARCS IN THE HYPERBOLIC PLANE
- BIBLIOGRAPHY
- INDEX
Summary
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- Chapter
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- Non-Euclidean Geometry , pp. 267 - 298Publisher: Mathematical Association of AmericaPrint publication year: 1998