hyperboloid of two sheets

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hyperboloid of two sheets [hī′pər·bə‚lȯid əv ′tü ‚shēts]

(mathematics)

A surface whose equation in standard form is (x²/a²) - (y²/b²) - (z²/c²) = 1, so that it is in two pieces, and cuts planes perpendicular to theyandzaxes in hyperbolas and planes perpendicular to thexaxis in ellipses, except for the interval -a<x<a, where there is no intersection.

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