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

thanks very much (Wait)

I assume that you mean a rotation-hyperboloid.

The line \$\displaystyle l_1\$ (in black) rotates around the line \$\displaystyle 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.