Week 34.

I plan to write a brief progress report every week, and here is the first one.  In the beginning we study Hilbert's set of axioms for plane geometry.  This will not play a big part later in the course, and we don't develop it very far, but I believe that anybody who studies geometry should have at least some understanding of how things can be built up axiomatically. 

We came as far as to present briefly the congruence axioms, but today I also went through a proof of some important properties of geometries with only incidence and betweenness.  Detailed notes can be found under the link "Solutions" to the left on this page.

I plan to finish this introduction and, hopefully, start on Hyperbolic geometry next time.

An important change: starting August 26, the Tuesday lectures will be moved to Room 108 in NHA.

Published Aug. 21, 2014 4:49 PM - Last modified Aug. 21, 2014 4:54 PM