V2EX regular polygon

Regular Polygon

Definition / 释义

正多边形:一种边数有限的多边形,且所有边等长、所有内角相等。(最常见用法指平面几何中的正多边形;在更广义的数学语境中也可扩展到正星形多边形等。)

Pronunciation / 发音

/rjlr pln/

Examples / 例句

A square is a regular polygon.
正方形是正多边形。

In Euclidean geometry, every regular polygon can be inscribed in a circle, with all its vertices lying on the same circumference.
在欧几里得几何中,每个正多边形都可以内接于一个圆,使其所有顶点都落在同一条圆周上。

Etymology / 词源

regular 源自拉丁语 regularis,与 regula(“尺规、规则”)有关,强调“符合规则、整齐一致”。polygon 源自希腊语 pols(“多”)+ gōnía(“角”),字面意思是“多角形”。合起来 regular polygon 即“各边各角都一致、符合规则的多角形”。

Related Words / 相关词

Literary Works / 文学作品

  • Euclid Elements(《几何原本》):讨论正多边形的作图、内接/外接关系等经典命题。
  • H. S. M. Coxeter Introduction to Geometry(《几何学导论》):在对称与几何结构中系统使用并讨论正多边形。
  • Thomas L. Heath(译注) The Thirteen Books of Euclid’s Elements:英文经典译注本中频繁出现 “regular polygon” 的术语用法。
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