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Hyperbolic geometry

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Hyperbolic geometry (a non-Euclidean geometry) is also called Lobachevskian geometry or Bolyai-Lobachevskian geometry.

Hyperbolic geometry has the properties

  • negative curvature;
  • the parallel postulate is false (in two dimensions, there are at least two distinct lines through a point not on line which do not intersect );
  • the sum of angles of a triangle is less than 180 degrees.

See also