坐标平面上的圆x^2(y-b)^2=a^2绕x轴旋转所得圆环面的参数方程.

Question

坐标平面上的圆x^2 (y-b)^2=a^2 绕 x轴旋转所得圆环面的参数方程.

Answer 1

cartesian equation：x^2+(y-y0)^2+(z-z0)^2=a^2,where y0^2+z0^2=b^2.parametric equation：x=acos(theta);y=(asin(theta)+b)sin(gamma);z=(asin(theta)+b)cos(gamma).