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.
Classical Spherical Trigonometry - Universal Hyperbolic Geometry
Insights into Mathematics via YouTube
Overview
Syllabus
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
Taught by
Insights into Mathematics
Related Courses
-
Precalculus 3: Trigonometry
-
Become a Trigonometry & Precalculus Master
-
Applications of Rational Spherical Trigonometry II - Universal Hyperbolic Geometry
-
First Steps in Hyperbolic Geometry - Universal Hyperbolic Geometry
-
Trigonometry in Elliptic Geometry II - Universal Hyperbolic Geometry - NJ Wildberger
-
Trigonometry O Level
Reviews
5.0 rating, based on 1 Class Central review
-
Excellent course. It forced me to go back and look at trig identities and most of the proofs of them. I'm hoping that I will be able to understand celestial navigation concepts soon based on what I'm learning here.
Jim
