V2EX triangular prism

Triangular Prism

释义 Definition

三棱柱 / 三角柱(triangular prism):一种棱柱,其两个底面是全等的三角形,侧面通常为三个平行四边形(在直三棱柱中为长方形)。常见于几何、建筑与光学(棱镜形体)等语境。

发音 Pronunciation

/trajlr przm/

例句 Examples

A triangular prism has two triangular bases.
三棱柱有两个三角形的底面。

In class, we calculated the surface area of a triangular prism by adding the areas of its three rectangular faces and two triangular ends.
课堂上,我们通过把三个长方形侧面和两个三角形端面的面积相加,来计算三棱柱的表面积。

词源 Etymology

triangular 来自 triangle(三角形)+ 形容词后缀 -ar(表示“……的”);prism 源自希腊语 prisma,与“切割/锯开”相关,后来用于指具有特定截面、能折射光或具有规则面的几何体。合起来即“三角形底面的棱柱”。

相关词 Related Words

文学与著作中的用例 Literary Works

  • 《Geometry》(Harold R. Jacobs):以三棱柱等立体作为表面积、体积与展开图的典型例题。
  • 《Schaum’s Outline of Geometry》:常用 triangular prism 讲解棱柱的性质与计算。
  • 《OpenStax: Geometry》(开放教材):在“三维图形”章节中频繁出现 triangular prism 作为标准立体之一。
  • 《CK-12 Geometry》:用于介绍体积公式、截面与网格展开(nets)的基础模型。
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