In this video, we define an affine geometry and provide its axioms. We provide examples of affine geometry and prove Proclus' lemma, Transitivity of Parallelism, and that all affine lines have the same number of points.
This is part 8 (1/2) 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/1q-bV_67inrUgacJB5HMfIRFDH-ZgioPt/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.
