444 Home Page

1. Week 1: 9/29-10/03

2. Week 2: 10/06-10

3. Week 3: 10/13-17

4. Week 4: 10/20-24

5. Week 5: 10/27-31

6. Week 6: 11/03-07

7. Week 7: 11/10-14

8. Week 8: 11/15-21

9. Week 9: 11/24-28

10. Week 10: 12/01-05

11. Week 11: 12/08-12

Math 444 JSP Page

• Notes
• Worksheets
• Assignments
• Labs
• Tests
• Email List Info

Monday 11/17 444

• Affine Ratios and Coordinates on Line and Plane (with JSP)
• Affine ratios and coordinates
• A Page on Affine Combinations from UC Davis
• Study Problems on Affine Geometry
• More Affine Problems

Handout in class: Barycentric Battleship.

• Note on Math in Barycentric Battleship

Links for Cavalieri's Principle

Important theorems and concepts from ratios in triangles:

• Barycentric coordinates
  • Barycentric from cut-the-knot
  • Computer graphics notes from UC Davis
• Ceva's Theorem - concurrent lines from side ratios
  • Ceva from cut-the-knot - the proof in class was approximately proof 3
  • An area proof of Ceva
  • Ceva from Mathworld
• Menelaus's Theorme - collinear points from side ratios
  • Einstein's ugly and pretty proofs
  • Proof using (x,y) plane - answer problem 4.2 (Prob 4.1 is application of Ceva)
  • Menelaus from cut-the-knot

Wednesday 11/19 444

• Assignment 7 Due --
• Answer Sheet for 7.1-7.4
• Here is web page of answers to 7.5

Wednesday 11/19 487

• Lab 8 - Lattices and Tessellations

Friday 11/21

• Quiz 2
• STUDY GUIDE
• Quiz ANSWER on barycentric -- with answers (ignore problem 3)