- Either of two quadric surfaces generated by rotating a hyperbola about either of its main axes and having a finite center with certain plane sections that are hyperbolas and others that are ellipses or circles.双曲面：两个二次曲面的任何一个，通过使一个双曲线绕其任何一根中轴旋转而成，而且旋转时有一个有一定双曲线平面切面的中心，而其他切面是椭圆或圆周