The course is worth 4 credits and will meet W,F 11:00-1:00 in S2 259.
Texts: Geometry: Euclid and Beyond, by Robin Hartshorne
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 2-3, W 4-5, 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 nice article about finite geometries.
Here is a short discussion of affine and projective planes.
Here is a discussion of Ptolemy's theorem.
Here are some properties of the nine-point circle.
Here is a discussion of Ceva and Menealus's Theorems, with several proofs and additional topics
Here and here you will find a discussion of the orthic traingle and its properties.
Here is a "proof" that all triangles are equilateral.
Here and here is a discussion of Miquel point.
Here is a proof of Miguel point theorem (Pivot theorem) and also several properties of the Simson line.
Here is a discussion of the Wallace-Gerwien-Bolyai Theorem. Here is a discussion of an analogous problem in three dimensions (often called Hilbert's third problem).
Here is a nice discussion of inversion. See various links at the bottom which all show various applications of inversions. In particular, read the one about Apollonian circles theorem, which is related to problem 39.10.
Here is another place where many interesting results related to inversion are discussed.
Here is a short discussion of inversion with many references.
Here is a discussion and visualization of hyperbolic geometry.