Classical Spherical Trigonometry - Universal Hyperbolic Geometry

Explore classical spherical trigonometry in this comprehensive video lecture. Learn about spherical distance between points on a sphere and angles between great circles. Review circular functions before delving into key laws and theorems, including the spherical sine law, cosine laws, Pythagoras' theorem, Thales theorem, Napier's Rules, and the law of haversines. Discover Napier's and Delambre's Analogies, and gain insights into the upcoming simplified algebraic approach to spherical trigonometry. Follow along as the lecture covers topics such as spherical triangle notation, half-angle formulas, and more, providing a solid foundation for understanding this important area of mathematics.

Introduction
Angle between lines
Notation for a spherical triangle
Circular functions
Spherical sine law
Pythagoras 1
The law of haversines
Half angle formulas
Napier's Analogies