Ellipsoid - Wikipedia
An ellipsoid is a surface that can be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation. An ellipsoid is a quadric surface; that is, a surface that may be defined as the zero set …
椭球 - 维基百科，自由的百科全书
椭球在 xyz - 笛卡儿坐标系 中的方程式： 其中 a 和 b 是赤道半径（沿着 x 和 y 轴）， c 是极半径（沿着 z 轴）。 这三个数都是固定的 正 实数，决定了椭球的形状。 如果三个半径都是相等的，那么就是一个 球；如果有两个半径是相等的，则是一个 类球面。 ： 不等边 椭球（“三条边都不相等”）。 点 (a,0,0)、 (0, b,0)和 (0,0, c)都在曲面上。 从原点到这三个点的线段，称为椭球的 半主轴。 它们与 椭圆 的 半长轴 和 半短轴 相对应。 ′ {\displaystyle {\color {white}+}\!\!\!\theta {\color …
Ellipsoid -- from Wolfram MathWorld
2024年12月18日 · The general ellipsoid, also called a triaxial ellipsoid, is a quadratic surface which is given in Cartesian coordinates by (x^2)/(a^2)+(y^2)/(b^2)+(z^2)/(c^2)=1, (1) where the semi-axes are of lengths a, b, and c.
椭圆体 - 百度百科
椭圆体(ellipsoid)，是指椭圆围绕x或y轴旋转一周所围成的几何体。
欧几里得球（Euclidean Ball）和椭球（Ellipsoid） - CSDN博客
2024年10月15日 · 二、椭球（Ellipsoid） 1. 定义. 椭球是满足特定二次方程的点的集合，是球体在各方向上伸缩变形的结果。 标准形式的椭球方程：
Ellipsoid | Surfaces, Axes, Foci | Britannica
Ellipsoid, closed surface of which all plane cross sections are either ellipses or circles. An ellipsoid is symmetrical about three mutually perpendicular axes that intersect at the centre. If a, b, and c are the principal semiaxes, the general equation of such an ellipsoid is x2/a2 + y2/b2 + z2/c2
ellipsoid（英语单词）_百度百科
ellipsoid /ɪˈlɪpsɔɪd/ 1.N a geometric surface, symmetrical about the three coordinate axes, whose plane sections are ellipses or circles. Standard equation: x²/a² + y²/b² + z²/c² = 1, where ±a, ±b, ±c are the intercepts on the x-, y-, and z- axes 椭面
Ellipsoid - Simple English Wikipedia, the free encyclopedia
An ellipsoid is a shape like a sphere, but prolate (longer in one or more directions) like a rugby ball, or like an egg. It is the 3 dimensional analogue of an ellipse. The Earth is shaped slightly like an ellipsoid. Its shape is called an oblate spheroid.
Geometry - Ellipsoids - TechnologyUK
An ellipsoid is a three-dimensional shape for which all plane cross-sections are either ellipses or circles. The ellipsoid has three axes which intersect at the centre of the ellipsoid. Each axis is perpendicular to the other two, and the ellipsoid is symmetrical around all three axes.
The ellipsoid - Math Insight
Description of the ellipsoid with interactive graphics that illustrate cross sections and the effect of changing parameters.