Geometric Transformations, Volume 2: Projective Transformations 2

Front Cover Title Page Preface to Volume 2 of the English Edition Translator's Note Preface to the Russian Edition Contents 1. Projective Transformations 1. The Concept of a Projective Plane 2. Definition of a Projective Mapping 3. Two Fundamental Theorems on Projective T ransformations 4. Cross Ratio 5. Harmonic Sets 6. Examples of Projective Transformations 7. Projective Transformations in Coordinates 8. Quadratic Curves in the Projective Plane 9. Projective Transformations of Space APPENDIX I TO CHAPTER 1 The Topology of the Projective Plane 2. Inversion 10. The Power of a Point with Respect to a Circle 11. Definition of Inversion 12. Properties of Inversion 13. Circle Transformations and the Fundamental Theorem APPENDIX 2 TO CHAPTER 1 Principle of Duality Subject Index