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词汇 Elliptic Paraboloid
分类 英语词汇 英语翻译词典
释义

Elliptic Paraboloid

中文百科

抛物面 Paraboloid

(重定向自Elliptic Paraboloid)
双曲抛物面
旋转抛物面
ParaboloidesHiperbólico (silla de montar)Elíptico de revolución

抛物面是二次曲面的一种。抛物面有两种:椭圆抛物面双曲抛物面。椭圆抛物面在笛卡儿坐标系中的方程为:


z = \frac{x^2}{a^2} + \frac{y^2}{b^2}.

双曲抛物面在笛卡儿坐标系中的方程为:


z = \frac{x^2}{a^2} - \frac{y^2}{b^2}.
英语百科

Paraboloid 抛物面

(重定向自Elliptic Paraboloid)
Paraboloid of revolution
Hyperbolic paraboloid
Parallel rays coming into a circular paraboloidal mirror are reflected to the focal point, F, or vice versa.
The hyperbolic paraboloid is a doubly ruled surface, and thus can be used to construct a saddle roof from straight beams.

In mathematics, a paraboloid is a quadric surface of special kind. There are two kinds of paraboloids: elliptic and hyperbolic.

The elliptic paraboloid is shaped like an oval cup and can have a maximum or minimum point. In a suitable coordinate system with three axes x, y, and z, it can be represented by the equation

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