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Hyperbolic plane

 

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Hyperbolic plane



 
  In mathematics, the term hyperbolic plane may refer to:

  • A two-dimensional quadratic space with a non-singular isotropic quadratic form
    Isotropic quadratic form

    In mathematics, a quadratic form over a field F is said to be isotropic if there is a non-zero vector on which it evaluates to zero. Otherwise the quadratic form is anisotropic....
  • A plane in hyperbolic geometry
    Hyperbolic geometry

    In mathematics, hyperbolic geometry is a non-Euclidean geometry, meaning that the parallel postulate of Euclidean geometry is replaced. The parallel postulate in Euclidean geometry is equivalent to the statement that, in two dimensional space, for any given line l and point P not on l, there is exactly one line through P th...