# Generating a Hyperboloid by Rotating a Line

Generating a Hyperboloid by Rotating a Line

A hyperboloid can be generated by rotating a line around the axis. The vertical line through the origin is first translated in the - plane and then rotated about an axis in the - plane. Enough information is then available to use standard equations to calculate the foci and hyperbola curves; two foci are shown as small spheres.

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