Friday, January 29, 2016

[bjbryxut] Elliptic hyperboloid

The hyperboloids of one sheet and of two sheets are surfaces of revolution, specifically circular revolution.  Can the revolution be elliptical instead, or equivalently, stretching them along an axis perpendicular to the axis of revolution?  Do they remain quadratic surfaces?  What about stretching so far that the ellipse becomes a parabola?

Previously, another possible missing quadric.

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