Book contents
- Frontmatter
- Contents
- Preface
- Part I The Real Projective Plane
- 1 Fundamental Aspects of the Real Projective Plane
- 2 Collineations
- 3 Polarities and Conics
- 4 Cross-Ratio
- 5 The Group of the Conic
- 6 Involution
- 7 Real Affine Plane Geometry from a Projective Perspective
- 8 Euclidean Plane Geometry from a Projective Perspective
- 9 Transformation Geometry: Klein’s Point of View
- 10 The Power of Projective Thinking
- 11 From Perspective to Projective
- 12 Remarks on the History of Projective Geometry
- Part II Real Projective 3-Space
- Part III Higher Dimensions
- Appendix: Group Actions
- References
- Index
9 - Transformation Geometry: Klein’s Point of View
from Part I - The Real Projective Plane
Published online by Cambridge University Press: 05 October 2023
Book contents
- Frontmatter
- Contents
- Preface
- Part I The Real Projective Plane
- 1 Fundamental Aspects of the Real Projective Plane
- 2 Collineations
- 3 Polarities and Conics
- 4 Cross-Ratio
- 5 The Group of the Conic
- 6 Involution
- 7 Real Affine Plane Geometry from a Projective Perspective
- 8 Euclidean Plane Geometry from a Projective Perspective
- 9 Transformation Geometry: Klein’s Point of View
- 10 The Power of Projective Thinking
- 11 From Perspective to Projective
- 12 Remarks on the History of Projective Geometry
- Part II Real Projective 3-Space
- Part III Higher Dimensions
- Appendix: Group Actions
- References
- Index
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- Analytic Projective Geometry , pp. 241 - 245Publisher: Cambridge University PressPrint publication year: 2023