The Best Approximation Theorem
Channel: Andrew Misseldine
Date: 2022-02-09

In this video, we state and prove the Best Approximation Theorem in congruence geometry, which states that the shortest path from a point to a line is the perpendicular path.

This is part 19 (3/3) 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/1rT7JWg47h8GZcrFSHBxQIMh1JdJ_Bn_H/view

This lecture is loosely based upon Section 3.3 of Roads to Geometry by Wallace and 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.