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Hyperbolic geometry as based on projective geometry
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Pappus' Theorem and Cross Ratio in Projective Geometry - Universal Hyperbolic Geometry 3
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- 1 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 pr…
- 2 Hyperbolic geometry as based on projective geometry
- 3 Pappus of Alexandria
- 4 Exercise - Verify Pappus' theorem for special cases
- 5 Cross ratio
- 6 Experience with cross ratio
- 7 Cross ratio transformation theorem
- 8 Cross ratio theorem
- 9 Chasles' theorem
- 10 Projective geometry and Desargues
