Math 445/487 Geometry Week 8

Monday 2/24 - Friday 2/28

    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 2/24 445

  • Applications of inversion - Steiner Chains and Problem of Apollonius. Read Ogilvy, Chapter 4.
  • Handout - Steiner figures
  • Handout - Relation of Tangent circles to Orthogonal Circles

Wednesday 2/26 445

Wednesday 2/26 487

  • Lab 8 - Poincaré Model - read Basics above.
  • Assignment 9A for Friday (this may be checked in class). Reading about the defect of a triangle and its first consequences.
  • Construction of these P-objects will be part of Assignment 9
    • Perpendicular to P-line m through P-point A (A on m or A not on A).
    • P-perpendicular bisector of AB
    • Common perpendicular to 2 ultraparallels
    • P-circle with given P-center A through B.
    • P-circle with P-diameter AB.
    • P-Circumcenter of a P-triangle ABC

Friday 2/28