Non-Euclidean Geometry - Jay P. Fillmore UC San Diego - Spring 1975 0. Introductiom 1. Foundations of Euclidean geometry 2. The Fifth Postulate 3. Historical sketch ( - citation to Wolfe on last page of 2.) 4. Non-Euclidean plane geometry 5. Non-Euclidean solid geometry 6. Non-Euclidean plane trigonometry 7. Euclidean models and consistency 8. The viewpoint of differential geometry 9. Miscellaneous Text: H. E. Wolfe, Non-Euclidean Geometry. Holt-Rinehart-Winston, New York, 1945. Ref: P. A. Shirokov, A Sketch of the Fundamentals of Lobachevskian Geometry. P. Noordhoff Ltd. - Groningen - The Netherlands -1964. Talk on Non-Euclidean Geometry Eighteenth Annual High School Math Contest, May 17, 1975 University of California at San Diego notes