Math 444 Class Notes

This page will have links to notes that amplify the content of the class meetings, that comment on assignments, sometime provide answers, hints, etc.

10/1

• Axiomatic Method
• List of Axioms (by Birkhoff)
• Properties of Isosceles Triangles

10/6

• Parallel Postulate and Angle Sum

10/11

• Opener: Parallel Distance Questions
• Definition of a Rectangle (more than one)
• Looking for Parallels and Rectangles on the Sphere

10/15

• Surfer and the Spotter

10/20

• Trapezoid Area Question

10/22

• Ratios in Similar Triangles and Trapezoids

10/25

• Similar Triangles with a Shared Angle

10/29

• Circles - chords and secants

11/1

• Golden Rectangle as Question
• Golden Rectangle Definition and Connection with Pentagon
• Golden Ratio Resources
• Figures: Regular Pentagon and Inscribed "Clock"
• Transversals and Angles Once and For All
• Answers to Assign 6A: Ratios in Triangles and Trapezoids

11/12

• Double Line Reflection (also pdf)

11/15

• Intro: Solving Equations of Transformations
• Three Tacks (First Fundamental Theorem for Isometries)

11/19

• Some Links to Polyhedra

12/1

• Notation, Question Conventions, and Defining Data

Last Week

• Potential Topics