hyperboloid of one sheet


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hyperboloid of one sheet

[hī′pər·bə‚lȯid əv ′wən ‚shēt]
(mathematics)
A surface whose equation in stardard form is (x 2/ a 2) + (y 2/ b 2) - (z 2/ c 2) = 1, so that it is in one piece, and cuts planes perpendicular to the x or y axes in hyperbolas and planes perpendicular to the z axis in ellipses.