445 Home Page

1. Week 01/06-10

2. Week 01/13-17

3. Week 01/20-24

4. Week 01/27-31

5. Week 02/03-07

6. Week 02/10-14

7. Week 02/17-21

8. Week 02/24-28

9. Week 03/03-07

10. Week 03/10-14

11. Week 03/17-21

Monday 3/03 445

• More Fundamental Hyperbolic Geometry
  • All triangles have defect zero (euclidean) or negative (hyperbolic). Negative defect contradicts telephone pole distance figure.
  • Two parallel lines through one point yields a triangle with a very small angle and positive defect.
• AAA congruence. Proof in BG Chapter 15.
• READING in Sved. Conclude the reading of all of Chapter 4. This class and the Friday 2/28 class conclude the presentation of Chapter 4. You should read the whole chapter, including the problems, since that is the place in the chapter where the work is done (some problems were discussed in class; others are on Assignment 9B).
• Additional reading source - Berele Goldman, Chapter 15 has an alternative treatment of some of the hyperbolic non-euclidean geometry.

Wednesday 3/05 445

• Cross Ratio, projection, and Measurement in Hyperbolic Geometry
• Reading in Sved. The rest of Chapter 5, including the distance section.
• Reading in Ogilvy. 94-103 on Cross-Rati

Wednesday 3/05 487 Lab

• Lab 9 Cross Ratio

Friday 3/07 445

• Quiz 3
• Assignment 10 Due Wed 3/12