Wednesday, February 15, 2012

Surfaces: Paraboloid


A paraboloid is a quadric surface (any D-dimensional hypersurface in (D + 1)-dimensional space defined as the locus of zeros of a quadratic polynomial) of special kind. There are two kinds of paraboloids: elliptic and hyperbolic. The elliptic paraboloid is shaped like an oval cup and can have a maximum or minimum point. The hyperbolic paraboloid (not to be confused with a hyperboloid) is a doubly ruled surface shaped like a saddle.

Get copyable formulas for Paraboloid from Differential Geometry Library (MathML, TeX, Mathematica input, Maple input)

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