In this video, we discuss important difference between Euclidean, hyperbolic, and elliptic geometry, such as curvature and sums of angles of polygons.
This is part 9 (5/5) 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/1pkuca-OPY6an9GTk37YFW4nhEaAtLfCz/view
This lecture is loosely based upon Section 2.7 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.