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Parallels and the Double Triangle - Universal Hyperbolic Geometry

Insights into Mathematics via YouTube

Overview

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This course examines Euclid’s parallel postulate and develops definitions and constructions for parallels in Universal Hyperbolic Geometry. It also studies double triangles, perspective centers, and harmonic-range theorems.

Syllabus

Introduction and parallels
Better definitions of parallel lines
Construction of the parallel
Double triangle in Euclidean geometry
Construction of double triangle algebraically
Second double triangle perspective theorem
Double dual triangle perspective theorem
zbhs harmonic range theorem

Taught by

Insights into Mathematics

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