Parallels and the Double Triangle - Universal Hyperbolic Geometry
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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