V2EX frustum

Frustum

Definition / 释义

(几何)截头体;指圆锥、棱锥等被一平面切去顶部后,剩下的那一段(如“圆台”“棱台”)。

Pronunciation / 发音

/frstm/

Examples / 例句

A frustum of a cone looks like a cone with the tip cut off.
圆锥的截头体看起来像把圆锥尖端切掉后的形状。

To find the volume of the frustum, we used the formula involving the two radii and the height.
为了求这个圆台(圆锥截头体)的体积,我们使用了包含上下底半径与高度的公式。

Etymology / 词源

来自拉丁语 frustum,意为“碎片、块状物”。后来在数学与几何语境中用来指“被截去一部分后剩下的块体”,逐渐固定为“截头体”这一专门含义。(该词在英语里也可有“残段、碎块”的较少见含义。)

Related Words / 相关词

Literary Works / 文学作品

  • Euclid’s Elements(《几何原本》的一些英译与注释版本中常在立体几何讨论里出现该术语)
  • D’Arcy Wentworth Thompson, On Growth and Form(《生长与形态》:讨论自然形态与几何模型时会用到类似“截头体”的描述)
  • James Stewart, Calculus(《微积分》:在体积计算与旋转体相关章节常见 frustum
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