Non-Euclidean geometry
著者
書誌事項
Non-Euclidean geometry
（MAA spectrum）
Mathematical Association of America, c1998
6th ed
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This is a reissue of Professor Coxeter's classic text on non-Euclidean geometry. It begins with a historical introductory chapter, and then devotes three chapters to surveying real projective geometry, and three to elliptic geometry. After this the Euclidean and hyperbolic geometries are built up axiomatically as special cases of a more general 'descriptive geometry'. This is essential reading for anybody with an interest in geometry.
目次
- 1. The historical development of non-Euclidean geometry
- 2. Real projective geometry
- 3. Real projective geometry: polarities conics and quadrics
- 4. Homogeneous coordinates
- 5. Elliptic geometry in one dimension
- 6. Elliptic geometry in two dimensions
- 7. Elliptic geometry in three dimensions
- 8. Descriptive geometry
- 9. Euclidean and hyperbolic
- 10. Hyperbolic geometry in two dimensions
- 11. Circles and triangles
- 12. The use of a general triangle of reference
- 13. Area
- 14. Euclidean models
- 15. Concluding remarks.
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