V2EX polar coordinate

Polar coordinate

Definition / 定义

polar coordinate极坐标(常也写作 polar coordinates)。一种用两项来表示平面上点的位置的坐标表示法:到原点的距离 r(半径)与相对极轴的角度 θ(夹角)。

Pronunciation / 发音

/polr kordnt/

Examples / 例句

A point can be written as a polar coordinate \((r, \theta)\).
一个点可以写成极坐标 \((r, \theta)\)。

To simplify the integral over a circular region, we converted from Cartesian coordinates to polar coordinates and adjusted the area element accordingly.
为简化对圆形区域的积分,我们把直角坐标改为极坐标,并相应调整了面积微元的表达式。

Etymology / 词源

polar 来自拉丁语 polus(“极、极点”),指围绕“极点/轴”来描述方向与角度;coordinate 由 **co-**(共同)+ ordinate(有序的、按顺序排列的)发展而来,整体表示“用于共同定位的一组有序量”。因此 polar coordinate 字面上就是“以极/轴为参照的坐标”。

<2>Related Words / 相关词

Literary Works / 文学作品

  • Calculus(James Stewart)
  • Mathematical Methods for Physicists(Arfken & Weber)
  • A Treatise on Electricity and Magnetism(James Clerk Maxwell)
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