An Incidence Geometry Which Satisfies No Parallel Postulate
Channel: Andrew Misseldine
Date: 2022-01-11

In this video, we provide an example of a five point incidence geometry that does not satisfy any of the three parallel alternatives.

This is part 7 (3/4) of the lecture series offered by Dr. Andrew Misseldine for the course Math 3130 - Modern Geometries at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at: 
https://drive.google.com/file/d/1puToiyiACDz1J0wVxnbTjmyJv3o2gsqo/view

This lecture is loosely based upon Section 1.4 of Roads to Geometry by Wallace & West. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.