# Hyperbolic Paraboloid as a Ruled Surface

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Translating and rotating a straight line generates a hyperbolic paraboloid. Therefore, it is a ruled surface, that is, there is a line on the surface through any given point; in fact there are two lines through each point. The intersection of the surface and a horizontal plane is a hyperbola.

Contributed by: Ferenc Holló Szabó and Sándor Kabai (April 2012)

Open content licensed under CC BY-NC-SA

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## Permanent Citation

"Hyperbolic Paraboloid as a Ruled Surface"

http://demonstrations.wolfram.com/HyperbolicParaboloidAsARuledSurface/

Wolfram Demonstrations Project

Published: April 27 2012