First Steps in Hyperbolic Geometry - Universal Hyperbolic Geometry

First Steps in Hyperbolic Geometry - Universal Hyperbolic Geometry

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Pythagoras' dual theorem

8 of 9

8 of 9

Pythagoras' dual theorem

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First Steps in Hyperbolic Geometry - Universal Hyperbolic Geometry

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  1. 1 CONTENT SUMMARY: notion of perpendicularity @04:48 Perpendicularity via duality @05:33 Do the altitudes of a triangle meet in a point? @10:54 Quadrance: m'ment between points @15:14 exercise @18:41 r…
  2. 2 Introduction
  3. 3 Perpendicularity via duality
  4. 4 Quadrance: measurement between points
  5. 5 Quadrance: measurement between lines
  6. 6 remark on Beltrami-Klein model
  7. 7 Spread: measurement between lines
  8. 8 Pythagoras' dual theorem
  9. 9 Spread law

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