# Circumgyrate Surface

• Oct 6th 2008, 12:31 AM
Xingyuan
Circumgyrate Surface
As uausl,write the formular of Circumgyrate Surface is not diffcult. But this problem is not easy:

Assume $l_{1}$ and $l_{2}$ are two lines that can not in one plane. and They're not uprightness. Please write the formular of the surface that $l_{2}$ circumgyrated with $l_{1}$.

thanks very much (Wait)
• Oct 6th 2008, 04:27 AM
earboth
Quote:

Originally Posted by Xingyuan
As uausl,write the formular of Circumgyrate Surface is not diffcult. But this problem is not easy:

Assume $l_{1}$ and $l_{2}$ are two lines that can not in one plane. and They're not uprightness. Please write the formular of the surface that $l_{2}$ circumgyrated with $l_{1}$.

thanks very much (Wait)

I assume that you mean a rotation-hyperboloid.

The line $l_1$ (in black) rotates around the line $l_2$ (in red) which are not in one plane and which are not perpendicular to each other.

Without any values I'm not able to give you any formula of the hyperboloid.