Axiomatic Geometry

by John M. Lee

Math 444-445 Course Notes
Summer 2009

Table of Contents (8/14/09)
Chapter 1, Reading Euclid (7/6/09)
Chapter 2, Incidence Geometry, Part I (7/8/09)
Chapter 3, Incidence Geometry, Part II (7/10/09)
Chapter 4, Axioms for Plane Geometry (7/13/09)
Chapter 5, Segments and Rays (7/17/09)
Chapter 6, Angles (7/24/09)
Chapter 7, Triangles (7/26/09)
Chapter 8, Models of Neutral Geometry (7/31/09)
Chapter 9, Perpendicular and Parallel Lines (8/3/09)
Chapter 10, Polygons (8/5/09)
Chapter 11, The Interior of a Polygon (8/7/09)
Chapter 12, The Euclidean Parallel Postulate (8/7/09)
Chapter 13, Area (8/10/09)
Chapter 14, Similarity (8/10/09)
Chapter 15, Right Triangles (8/12/09)
Chapter 16, The Parallel Postulate Revisited (8/12/09)
Chapter 17, Introduction to Hyperbolic Geometry (8/14/09)
Chapter 18, Asymptotic Rays (8/14/09)
Chapter 19, Classification of Parallels in Hyperbolic Geometry (8/14/09)
Appendix A, Hilbert's Axioms (7/6/09)
Appendix B, Birkhoff's Axioms (7/6/09)
Appendix C, Properties of the Real Numbers (7/13/09)
References (7/6/09)
Index (8/14/09)

The whole Megillah (updated 8/14/09)

Corrections to the notes (updated 8/20/09)

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