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词汇 frustum
释义

Definition of frustum in English:

frustum

nounPlural frustums, Plural frusta ˈfrʌstəmˈfrəstəm
Geometry
  • The portion of a cone or pyramid which remains after its upper part has been cut off by a plane parallel to its base, or which is intercepted between two such planes.

    〔几何〕平截头体,截头锥体

    Example sentencesExamples
    • They only appear as frustums because they are being viewed at from an angle.
    • An assessment task may ask students to devise a plan for determining the volume of the frustum of a pyramid (a task not previously considered in class).
    • Depending mainly on the thicknesses of the members, the midplane splits one of the two members into two frusta, thus making a total of three frusta to analyse.
    • There are formulas for frustums, but if you think about it, the calculations can be done by extending the frustum height to a vertex and then subtracting the ‘upper’ cone's values from the complete cone yielding the values for the frustum.

Origin

Mid 17th century: from Latin, 'piece cut off'.

Definition of frustum in US English:

frustum

nounˈfrəstəmˈfrəstəm
Geometry
  • The portion of a cone or pyramid which remains after its upper part has been cut off by a plane parallel to its base, or which is intercepted between two such planes.

    〔几何〕平截头体,截头锥体

    Example sentencesExamples
    • There are formulas for frustums, but if you think about it, the calculations can be done by extending the frustum height to a vertex and then subtracting the ‘upper’ cone's values from the complete cone yielding the values for the frustum.
    • An assessment task may ask students to devise a plan for determining the volume of the frustum of a pyramid (a task not previously considered in class).
    • They only appear as frustums because they are being viewed at from an angle.
    • Depending mainly on the thicknesses of the members, the midplane splits one of the two members into two frusta, thus making a total of three frusta to analyse.

Origin

Mid 17th century: from Latin, ‘piece cut off’.

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