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non-euclidean geometry

/nɒn juːˈklɪdiən dʒiˈɒmətri/

翻译: 非欧几里得几何,指不遵循欧几里得几何原理(尤其是平行公设)的任何几何体系,主要包括双曲几何和椭圆几何,常用于高等数学和理论物理。

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phrase

/nɒn juːˈklɪdiən dʒiˈɒmətri/C1formalscientific
  • zh非欧几里得几何,指不遵循欧几里得几何原理(尤其是平行公设)的任何几何体系,主要包括双曲几何和椭圆几何,常用于高等数学和理论物理。

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.

    zh非欧几何

    • 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.