Computations with Homogeneous Coordinates - Universal Hyperbolic Geometry

Computations with Homogeneous Coordinates - Universal Hyperbolic Geometry

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Application to Cartesian geometry

9 of 9

9 of 9

Application to Cartesian geometry

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Computations with Homogeneous Coordinates - Universal Hyperbolic Geometry

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  1. 1 CONTENT SUMMARY: Lines and planes through the origin as points and lines on the viewing plane @00:01 A projected line on the viewing plane @05:32 Official definitions: hyperbolic point, hyperbolic li…
  2. 2 Introduction
  3. 3 Three dimensional space V³
  4. 4 Definitions projective point and line
  5. 5 Problem 1: Plot points and linesp
  6. 6 Join of two points theorem
  7. 7 Meet of two lines theorem
  8. 8 Duality principle
  9. 9 Application to Cartesian geometry

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