Math 465: Foundations of Geometry

Math 584: Euclidean and Non-Euclidean Geometry

Information Page, Fall 2019

I will finish grading by Wednesday night. I will be in my office on Thursday, 12-1 and Friday, 11.15-12.30 pm. Come by to see your final. Or e-mail me to get your score and final grade.

The course is worth 4 credits and will meet MW 11:20-12:50 in WH G002.

Texts: Geometry: Euclid and Beyond, by Robin Hartshorne

Elements by Euclid.

Here is an interesting eddition of the "Elements" by Oliver Byrne (from 1847). He attempts to present the proofs using colored pictures and as little text as possible.

Office hours: M,W 2-3, and by appointment.

HERE is additional information about the organization of the course (date of test, grading policy, etc.).

A short biography of Euclid and Euclid

Here is a short note about Euclid and his "Elements".

Here are numerous proofs of the Pythagorean Theorem.

Here is a discussion of Ptolemy's theorem.

Here is a "proof" that all triangles are equilateral.

Here are some properties of the nine-point circle.

Here and here you will find a discussion of the orthic traingle and its properties.

Here is a proof of the Simson's line theorem, and here is a discussion of the Simson line.

Here and here is a discussion of Miquel point.

Here is a nice visualization of Miquel point (you need to use mozilla browser and have updated Java).

Here is a proof of Miguel point theorem (Pivot theorem) and also several properties of the Simson line.

Here is a discussion of Menealus's Theorem, with several proofs and additional topics

Here is a nice article about finite geometries.

Here is a short discussion of affine and projective planes.