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non-euclidean geometry

/nɒn juːˈklɪdiən dʒiˈɒmətri/

1 entry

phrase

/nɒn juːˈklɪdiən dʒiˈɒmətri/C1formalscientific
  • ruЛюбая геометрия, отклоняющаяся от принципов евклидовой геометрии, в частности от постулата о параллельных, включая гиперболическую и эллиптическую геометрии, часто используемая в высшей математике и теоретической физике.

Any geometry that deviates from the principles of Euclidean geometry, particularly the parallel postulate, including hyperbolic and elliptic geometries, often used in advanced mathematics and theoretical physics.

  1. Geometry not based on Euclid's postulatesC1formal

    Any system of geometry that rejects or modifies one or more of Euclid's postulates, especially the parallel postulate, leading to curved spaces.

    ruНеевклидова геометрия

    • In non-Euclidean geometry, parallel lines can intersect.
    • Einstein's theory of general relativity uses non-Euclidean geometry to describe spacetime.
    • The surface of a sphere is a model for a type of non-Euclidean geometry.