Pappus' Theorem and Cross Ratio in Projective Geometry - Universal Hyperbolic Geometry 3
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Overview
Syllabus
CONTENT SUMMARY: Pappus' theorem @00:52 cross ratio @02:46 cross ratio transformation theorem @11:08 cross ratio theorem @13:54 Chasles theorem @ The cross ratio is the most important invariant in projective geometry 9:09
Hyperbolic geometry as based on projective geometry
Pappus of Alexandria
Exercise - Verify Pappus' theorem for special cases
Cross ratio
Experience with cross ratio
Cross ratio transformation theorem
Cross ratio theorem
Chasles' theorem
Projective geometry and Desargues
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