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   Non-Euclidean geometry

   In mathematics, non-Euclidean geometry describes hyperbolic and elliptic geometry, which are contrasted with Euclidean geometry. The essential difference between Euclidean and non-Euclidean geometry is the nature of parallel lines.
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   Euclidean geometry

   However, Einstein's theory of general relativity shows that the true geometry of spacetime is non-Euclidean geometry.
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   Category:Non-Euclidean geometry

   Within contemporary geometry there are many kinds of geometry that are quite different from Euclidean geometry, first encountered in the forms of elementary geometry, plane geometry of triangles and circles, and solid geometry.
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   History of geometry

   In trying to prove the parallel postulate he accidentally proved properties of figures in non-Euclidean geometries. ... Other contributions to non-Euclidean geometry
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   Mathematics in medieval Islam

   Non-Euclidean geometry ... In trying to prove the parallel postulate he accidentally proved properties of figures in non-Euclidean geometries.
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   List of geometers

   H. S. M. Coxeter - theory of polytopes, non-Euclidean geometry, projective geometry
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   Models of non-Euclidean geometry

   MacTutor Archive article on non-Euclidean geometry
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   Felix Klein

   Felix Christian Klein (25 April 1849 – 22 June 1925) was a German mathematician, known for his work in group theory, function theory, non-Euclidean geometry, and on the connections between geometry and group theory.
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   Geometry

   Since the nineteenth century discovery of non-Euclidean geometry, the concept of space has undergone a radical transformation.
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    Hyperbolic geometry

    In mathematics, hyperbolic geometry (or Bolyai-Lobachevskian geometry) is a non-Euclidean geometry, meaning that the parallel postulate of Euclidean geometry is replaced.

Explore the following pages on Powerset:

• Non-Euclidean geometry,
• Euclidean geometry,
• Category:Non-Euclidean geometry,
• History of geometry,
• Mathematics in medieval Islam,
• List of geometers,
• Models of non-Euclidean geometry,
• Felix Klein,
• Geometry,
• Hyperbolic geometry