This course on classical spherical trigonometry and universal hyperbolic geometry aims to teach a new, simplified algebraic framework for spherical trigonometry. The course covers defining spherical distance and angles on a sphere, circular functions, and various laws such as the spherical sine law, Pythagoras' theorem, and Napier's Rules. The teaching method involves presenting theoretical concepts and laws in a concise manner. This course is intended for individuals interested in advanced mathematics and geometry, looking to deepen their understanding of spherical trigonometry and hyperbolic geometry.
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
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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
