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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.

References

[1] Wikipedia. "Pringles." (Apr 20, 2012) en.wikipedia.org/wiki/Pringles.

External Links

Hyperbolic Paraboloid (Wolfram MathWorld)

Permanent Citation

Ferenc Holló Szabó, Sándor Kabai

"Hyperbolic Paraboloid as a Ruled Surface"
http://demonstrations.wolfram.com/HyperbolicParaboloidAsARuledSurface/
Wolfram Demonstrations Project
Published: April 27, 2012

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