Geometric Transformations, Volume 2: Projective Transformations

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

• Tongue: English
• Leaves: 147
• Category: Library

✦ Table of Contents

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