Hyperbolic Parallel Postulate
Channel: Andrew Misseldine
Date: 2020-03-24

In this video, we state the Hyperbolic Parallel Postulate and explore several equivalent forms to it in neutral geometry, such as the Acute Angle Theorem. We explore when the converse of the Alternate Interior Angle Theorem fails in hyperbolic geometry. We also explore when parallel lines can be equidistant in hyperbolic geometry. The difference between hyperparallel and asymptotic parallel lines is discussed.

This is part 29 (1/1) 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/1stUvYFYsKeX9oS43e_n6X7T7-HFXIZa_/view

This lecture is loosely based upon Section 6.3 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.