Geometric Transformations, Volume 2: Projective Transformations

Cover......Page __sk_0000.djvu Copyright......Page __sk_0002.djvu Contents......Page __sk_0009.djvu Preface to Volume 2 of the English Edition......Page __sk_0003.djvu Translator's Note......Page __sk_0005.djvu Preface to the Russian Edition......Page __sk_0007.djvu 1. The Concept of a Projective Plane......Page __sk_0011.djvu 2. Definition of a Projective Mapping......Page __sk_0030.djvu 3. Two Fundamental Theorems on Projective Transformations......Page __sk_0034.djvu 4. Cross Ratio......Page __sk_0041.djvu 5. Harmonic Sets......Page __sk_0051.djvu 6. Examples of Projective Transformations......Page __sk_0061.djvu 7. Projective Transformation in Coordinates......Page __sk_0074.djvu 8. Quadratic Curves in the Projective Plane......Page __sk_0081.djvu 9. Projective Transformation of Space......Page __sk_0089.djvu Appendix 1 to Chapter I. The Topology of the Projective Plane......Page __sk_0103.djvu 10. The Power of a Point with Respect to a Circle......Page __sk_0121.djvu 11. Definition of Inversion......Page __sk_0122.djvu 12. Properties of Inversion......Page __sk_0123.djvu 13. Circle Transformations and the Fundamental Theorem......Page __sk_0128.djvu Appendix 2 to Chapter I. Principle of Duality......Page __sk_0136.djvu Subject Index......Page __sk_0143.djvu