V2EX ellipsoid

Ellipsoid

Definition / 释义

椭球体:一种三维几何形体,可看作把椭圆绕其长轴或短轴旋转得到的“球的拉伸/压扁版本”;更一般地说,是满足二次方程(如 \(x^2/a^2 + y^2/b^2 + z^2/c^2 = 1\))的封闭曲面。常见于数学、物理(惯性、引力势)、地球科学(地球参考椭球)等领域。

Pronunciation / 发音

/lp.sd/

Etymology / 词源

来自 ellipse(椭圆) + 后缀 -oid(……形的,……状的)。其中 -oid 源自希腊语 -oeidēs,表示“像……一样的形状”。整体字面意思就是“椭圆形的(立体)”。

Examples / 例句

The planet is not a perfect sphere; it is closer to an ellipsoid.
这颗行星不是完美的球体;它更接近一个椭球体。

In geodesy, Earth is often modeled as a reference ellipsoid to improve the accuracy of maps and satellite positioning.
在大地测量学中,地球常被建模为参考椭球体,以提高地图与卫星定位的精度。

Related Words / 相关词

Literary Works / 文学与经典著作中的用例

  • James Clerk Maxwell A Treatise on Electricity and Magnetism:讨论电势/场问题时常用椭球等几何体作为理想模型。
  • Isaac Newton Philosophi Naturalis Principia Mathematica(《自然哲学的数学原理》):在地球形状与引力相关讨论中涉及近似的“扁球/椭球”思想框架。
  • Alexis Clairaut Théorie de la figure de la terre(《地球形状理论》):以椭球(或其特例)描述地球形状,是大地测量与地球物理的经典来源之一。
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