Classical Spherical Trigonometry - Universal Hyperbolic Geometry
Insights into Mathematics via YouTube
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Overview
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This video introduces classical spherical trigonometry by defining spherical distances and angles, reviewing circular functions, and presenting standard laws for spherical triangles. It covers the sine and cosine laws, Pythagoras and Thales theorems, Napier’s rules, the law of haversines, and related formulas.
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
Reviews
5.0 rating, based on 1 Class Central review
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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