Hyperbolic Paraboloid as a Ruled Surface

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.


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

US Common Core State Standards, Mathematics