Geometry for Teachers

Math 445, Winter 1999

University of Washington

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Week 4 Syllabus

Reading

  • Sved, Chapter 3, first part of Chapter 4
  • Ogilvy handout on Apollonian circles.

 445 Monday, January 25

Inversion is conformal. First we see this when we invert two lines and then use this for the general case. Application to inverting pencils. Introduction to Apollonian circles.

 445 Wednesday, January 27

Apollonian Circles. Harmonic Division. Quiz 2.

 487 Computer Lab 4, Wednesday, January 27

This lab investigates Dr. Whatif's Euclidean Geometry (DWEG for short), a different model for Euclidean Geometry.

Link to Lab Sheet 4.

 445 Friday, January 1/29

Introduction to non-Euclidean geometry.

Lab Assignment D due.

Assignment 4 is due on Monday, 2/1.