Hyperboloid as a Ruled Surface
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Connect two circles with elastic strings. Twisting a circle generates the hyperboloid of one sheet. Surfaces that are generated by a family of straight lines are called ruled surfaces.
Contributed by: Bruce Atwood (March 2011)
Open content licensed under CC BY-NC-SA
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"Hyperboloid as a Ruled Surface"
http://demonstrations.wolfram.com/HyperboloidAsARuledSurface/
Wolfram Demonstrations Project
Published: March 7 2011