V2EX right prism

Right Prism

释义 Definition(中文)

直棱柱/正棱柱(几何):一种棱柱,其侧棱与底面垂直,因此侧面通常是长方形(或一般说为矩形)。常用于讨论体积、表面积等。
(注:不同教材中中文译名可能用“直棱柱”更常见;“正棱柱”有时也被用来指底面为正多边形的棱柱,需结合语境。)

发音 Pronunciation(IPA)

/rat przm/

例句 Examples

A right prism has lateral edges perpendicular to the base.
直棱柱的侧棱与底面垂直。

To find the volume of a right prism, multiply the area of the base by the height.
要求直棱柱的体积,可以用底面积乘以高。

词源 Etymology(中文)

right 在几何中常表示“直的、成直角的”,与拉丁语 rectus(直的、正的)相关;prism 来自希腊语 prisma(“锯开之物/切割出的形状”),后来在数学里用来指特定的立体形体。合起来 right prism 就是“侧棱与底面成直角的棱柱”。

相关词 Related Words

文学作品 Literary Works(出现示例)

  • Legendre, _Elements of Geometry_(《几何原本/几何学原理》英译本流传版本):在立体几何章节讨论棱柱分类时常出现 right prism 一类术语。
  • Wentworth, _Plane and Solid Geometry_(《平面与立体几何》):典型的中学/大学初级几何教材中频繁使用 right prism 来讲解体积与表面积公式。
  • Coxeter, _Introduction to Geometry_(《几何学导论》):在多面体与空间几何相关内容中会用到棱柱(含直棱柱)的表述与例题。
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