External
Modern Geometry
The standard approach is to develop more results of advanced Euclidean geometry first and to eventually back up and go into hyperbolic geometry. In order to get where we need to get, we will not formally develop some of the advanced Euclidean results that are logically needed because we would never get to the "modern" part of the course’s name. We will come back and develop, or at least introduce conceptually, some of these when we need them late in the course.
- Author
- Wayne Bishop
- Publisher
- California State University, Los Angeles
- Source
- LibreTexts
- License
- CC BY-NC
- Language
- EN
- Category
- Basic Sciences
Contents· 18 sections
- 01: Euclids Elements Props 1-28 of Book 1
- 1.01: Introduction to Euclids Elements
- 1.02: Book 1 Definitions
- 1.03: Problem Set 1
- 02: More Elementary Neutral Geometry
- 2.01: Elementary Neutral Geometry
- 2.02: Problem Set 2
- 03: Introduction to Hyperbolic Geometry
- 3.01: Hyperbolic Geometry
- 3.02: Problem Set 3
- 04: Elementary Euclidean Geometry
- 4.01: Euclidean Geometry
- 4.02: Analytic Geometry Proof
- 4.03: Theorems of Ceva and Menelaus
- 4.04: Problem Set 4
- 05: Advanced Euclidean Geometry
- 5.01: Advanced Euclidean Geometry
- 5.02: Problem Set 5