Outline

# Coxeter- Projective Geometry (Second Edition)

This book was created by students at Westminster College in Salt Lake City, UT, for the May Term 2014 course

*Projective Geometry*(Math 300CC-01). Coxeter's book,*Projective Geometry*(Second Edition) is one of the classic texts in the field. This GeoGebraBook contains dynamic illustrations for figures, theorems, some of the exercises, and other explanations from the text. If you have any new or improved materials that could be added to this book, send me a link so I can add them: sraleigh@westminstercollege.edu.## Table of Contents

### Introduction

- Coxeter- Figure 1.4A (left)
- Coxeter-Figure 1.4 A (right)
- Coxeter- Figure 1.5A
- Coxeter- Figure 1.5B
- Coxeter- Figure 1.5C
- Coxeter - Figure 1.6 A (left)
- Coxeter - Figure 1.6 A (right)
- Coxeter - Figure 1.6 B
- Coxeter- Figure 1.6 C
- Coxeter- Figure 1.6D (left)
- Coxeter - Figure 1.6 D (right)
- Coxeter - Exercise 1.6.1
- Coxeter - Exercise 1.6.2
- Coxeter - Exercise 1.6.3
- Coxeter - Exercise 1.6.4

### Triangles and Quadrangles

- Coxeter- Theorem 2.21
- Coxeter- Theorem 2.22
- Coxeter- Theorem 2.23
- Coxeter- Theorem 2.24
- Coxeter- Exercise 2.2.1(i)
- Coxeter- Exercise 2.2.1(ii)
- Coxeter- Figure 2.3A
- Coxeter- Theorem 2.32
- Coxeter- Exercise 2.3.1
- Coxeter- Exercise 2.3.2
- Coxeter- Exercise 2.3.3
- Coxeter- Figure 2.4A
- Coxeter- Figure 2.5A - Theorem 2.51
- Coxeter- Exercise 2.5.1
- Coxeter- Exercise 2.5.2
- Coxeter- Exercise 2.5.3
- Coxeter- Exercise 2.5.4
- Coxeter- Exercise 2.5.5
- Coxeter- Exercise 2.5.6

### The Principle of Duality

- Coxeter- Exercise 3.1.1
- Coxeter - Excercise 3.1.2
- Coxeter- Exercise 3.2.1
- Coxeter- Exercise 3.2.2
- Coxeter- Exercise 3.2.3
- Coxeter- Exersice 3.2.4
- Coxeter- Figure 3.3 A
- Coxeter - figure 3.3 B
- Coxeter - Theorem 3.33
- Coxeter- Exercise 3.3.1
- Coxeter- Exercise 3.3.2
- Coxeter- Exercise 3.4.1
- Coxeter- Exercise 3.4.2
- Coxeter- Exercise 3.4.3
- Coxeter- Exercise 3.4.4
- Coxeter- Figure 3.5 A
- Coxeter- Exercise 3.5.1
- Coxeter- Exercise 3.5.2
- Coxeter - Excercise 3.5.3

### The Fundamental Theorem and Pappus's Theorem

### One-dimensional Projectivities

### Two-dimensional Projectivities

- Coxeter- Figure 6.1A
- Coxeter- Theorem 6.11
- Coxeter- Figure 6.1B
- Coxeter- Theorem 6.13
- Coxeter- Figure 6.2A
- Coxeter- Theorem 6.21
- Coxeter- Theorem 6.22 R not on o, OP
- Coxeter- Theorem 6.22 R on OP
- Coxeter- Figure 6.2B
- Coxeter- Figure 6.2C
- Coxeter- Theorem 6.23
- Coxeter- Exercise 6.2.1
- Coxeter- Theorem 6.32
- Coxeter- Figure 6.3A
- Coxeter- Theorem 6.41
- Coxeter- Figure 6.4A
- Coxeter- Theorem 6.42
- Coxeter- Figure 6.4B

### Polarities

### The Conic

### The Conic, Continued

- Coxeter- Theorem 9.14 - Figure 9.1D
- Coxeter- Theorem 9.15 - Figure 9.1E (left)
- Coxeter- Theorem 9.15 - Figure 9.1E (right)
- Coxeter- Theorem 9.21 - Figure 9.2A
- Coxeter- Theorem 9.22 - Figure 9.2B
- Coxeter- Theorem 9.23 - Figure 9.2C (left)
- Coxeter- Theorem 9.23 - Figure 9.2C (right)
- Coxeter- Theorem 9.31 - Theorem 9.32 - Figure 9.3A
- Coxeter- Theorem 9.41 - Theorem 9.42 - Figure 9.4A
- Coxeter- Section 9.5 (1)
- Coxeter- Section 9.5 (2)