Math402
Defects and Rectangles
Defect of an n-gon is (n - 2) 180 minus the sum of interior angles of the n-gon. A rectangle is a quadrilateral with all four angles equal to 90 . In particular the defect of a rectangle is 0. Theorem. The following
Math 402 Study Guide for Midterm 2 Syllabus:
Section 7.2, 7.3, 7.5, 7.6, 7.7 [Hyperbolic geometry] Section 4.1 [Constructions] Section 5.1, 5.2, 5.7 [Isometries]
Warning:
The following list is only a summary of the main points we've covered so fa
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Math 402 - Test #2 - March 7, 2007
Time: 50 minutes. Write your answers on the blank paper provided. Start a new page for each problem and be sure to number the problems. You may not use any books or notes. There are 100 points possible. 1. (7
Math 403 Study Guide for Midterm 1 Syllabus:
Section 1.5, 1.6 [Axiom systems] Section 2.1, 2.2, 2.5, 2.6 [Euclidean geometry] Section 3.1, 3.2 [Cartesian coordinate system and vectors]
Warning:
The following list is only a summary of the main poi
Math402
Neutral Geometry
Here is a summary of the neutral geometry, i.e. geometry based on Euclid/Hilbert/Birkhoff/School axiomatic system without the Parallels Axiom (i.e. without Euclid V or Playfair or Wallis Axiom). Euclidean and hyperbolic geo
Math402
Problem Set 12
Second Part
This is a book problem (Project 5.2.1). Prove Theorem 5.7 ("one can move a triangle on top of another by doing reflections"). The proof consists of Exercises 5.2.1, 5.2.2, 5.2.3, but you should write it as a sing