抛物面 Paraboloid

（重定向自Paraboloid of revolution）

抛物面是二次曲面的一种。抛物面有两种：椭圆抛物面和双曲抛物面。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}.

单词	Paraboloid of revolution
释义	Paraboloid of revolution 中文百科抛物面 Paraboloid （重定向自Paraboloid of revolution）抛物面是二次曲面的一种。抛物面有两种：椭圆抛物面和双曲抛物面。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Paraboloid of revolution） 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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Paraboloid of revolution