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Perpendicularity, Polarity and Duality on a Sphere - Universal Hyperbolic Geometry

Perpendicularity, Polarity and Duality on a Sphere - Universal Hyperbolic Geometry

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Polar of a point

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Polar of a point

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Perpendicularity, Polarity and Duality on a Sphere - Universal Hyperbolic Geometry

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  1. 1 Introduction great circles
  2. 2 Polar of a point
  3. 3 Poles/polars more symmetric in elliptic geometry
  4. 4 Polar triangle
  5. 5 The relationship between polar triangles
  6. 6 Duality
  7. 7 Point/plane duality induced by a sphere

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