Geometric Transformations, Volume 2: Projective Transformations

✍ Scribed by P. S. Modenov, A. S. Parkhomenko

• Publisher: Mir Publishers
• Year: 1965
• Tongue: English
• Leaves: 147
• Series: Geometric Transformations 02
• Category: Library

✦ Table of Contents

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