Hyperbolic Paraboloid Embracing an Elliptic Paraboloid

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This Demonstration shows two elliptic paraboloids that have one tangent point. One of these is modified to be a hyperbolic paraboloid, which results in a tangent curve.
Contributed by: Alejandro R. Barroso (March 2011)
Open content licensed under CC BY-NC-SA
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"Hyperbolic Paraboloid Embracing an Elliptic Paraboloid"
http://demonstrations.wolfram.com/HyperbolicParaboloidEmbracingAnEllipticParaboloid/
Wolfram Demonstrations Project
Published: March 7 2011