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词汇 hyperboloid
释义

Definition of hyperboloid in English:

hyperboloid

noun hʌɪˈpəːbəlɔɪdhaɪˈpərbəˌlɔɪd
  • A solid or surface having plane sections that are hyperbolas, ellipses, or circles.

    双曲面

    Example sentencesExamples
    • To calculate atomic volumes, the Voronoi cell procedure using hyperboloid interfaces between atoms was applied.
    • In 1826 he generalised his theorem to a hyperboloid of revolution, rather than a cone.
    • Out of this work came another of Wren's important mathematical results, namely that the hyperboloid of revolution is a ruled surface.
    • In the vicinity of point M, we assume that the surface of the hyperboloid is a plane.
    • To compare this funny word with something more familiar, a hyperboloid is a two-dimensional pseudosphere.

Derivatives

  • hyperboloidal

  • adjective
    • These members complete the hyperboloidal structural connections to make the new structural principle operate.
      Example sentencesExamples
      • Initial data are prescribed on the blue parts, i.e. on a hyperboloidal hypersurface and the part of which is in its future.
      • He has a Parisian optician produce hyperboloidal lenses for a demonstration, but the lenses are a failure.
      • For general hyperboloidal gears, let us now calculate and in the same way in terms of the velocity ratio.
      • The focus of this dissertation is the small free vibration of thin elastic hyperboloidal shells of revolution.

Definition of hyperboloid in US English:

hyperboloid

nounhīˈpərbəˌloidhaɪˈpərbəˌlɔɪd
  • A solid or surface having plane sections that are hyperbolas, ellipses, or circles.

    双曲面

    Example sentencesExamples
    • Out of this work came another of Wren's important mathematical results, namely that the hyperboloid of revolution is a ruled surface.
    • In the vicinity of point M, we assume that the surface of the hyperboloid is a plane.
    • To calculate atomic volumes, the Voronoi cell procedure using hyperboloid interfaces between atoms was applied.
    • In 1826 he generalised his theorem to a hyperboloid of revolution, rather than a cone.
    • To compare this funny word with something more familiar, a hyperboloid is a two-dimensional pseudosphere.
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