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Modern Geometry

Nguồn ngoài

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.

Tác giả
Wayne Bishop
Nhà xuất bản
California State University, Los Angeles
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LibreTexts
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CC BY-NC
Ngôn ngữ
EN
Danh mục
Khoa học cơ bản
Mục lục· 18 mục
  1. 01: Euclids Elements Props 1-28 of Book 1
  2. 1.01: Introduction to Euclids Elements
  3. 1.02: Book 1 Definitions
  4. 1.03: Problem Set 1
  5. 02: More Elementary Neutral Geometry
  6. 2.01: Elementary Neutral Geometry
  7. 2.02: Problem Set 2
  8. 03: Introduction to Hyperbolic Geometry
  9. 3.01: Hyperbolic Geometry
  10. 3.02: Problem Set 3
  11. 04: Elementary Euclidean Geometry
  12. 4.01: Euclidean Geometry
  13. 4.02: Analytic Geometry Proof
  14. 4.03: Theorems of Ceva and Menelaus
  15. 4.04: Problem Set 4
  16. 05: Advanced Euclidean Geometry
  17. 5.01: Advanced Euclidean Geometry
  18. 5.02: Problem Set 5