Course Home Page

1. Week 1 - Jan 7-11

2. Week 2 - Jan 14-18

3. Week 3 - Jan 21-25

4. Week 4 - Jan 28 - Feb 1

5. Week 5 - Feb 4 - 8

6. Week 6 - Feb 11 - 15

7. Week 7 - Feb 18 - 22

8. Week 8 - Feb 25 - Mar 1

9. Week 9 - Mar 4 - 8

10. Week 10 - Mar 11 - 15

11. Exam Week Mar 18 - 22

Wednesday 1/23

Assignment 11/23 due today.

Read: Ogilvy, Chapter 4. Apollonius problem. Steiner theorem.

Class: Solution of problems by inversion.

• Construct necklaces of tangent circles tangent to two concentric circles. Some close up and others do not. Use inversion to see that this is still true for necklaces of tangent circles tangent to any two non-intersecting circles.
• Solve problem of Apollonius using inversion
• Review of how to invert two non-intersecting circles into concentric circles.

Lab 3: Dr. Whatif's Euclidean Geometry (DWEG)

• Reference: Explanation on Lab Sheet and pages from Sved, Journey Through Geometries

Assignment Due 1/25 on DWEG.

Comments on Distance and Congruence in DWEG

Friday 1/25

• Terminology for Pencils of Circles - What we know about orthogonal circles gives the tools to make DWEG constructions.
• Three views and approaches to DWEG
• Two pictures of DWEG "house" (square+triangle) figures

Assignment for Monday, 1/28.