> restart;

> with( plots ): 

Warning, the name changecoords has been redefined

A Brief Catalog of Quadric Surfaces

(based on a worksheet prepared by Michael Filaseta)

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Paraboloid: z = x^2+y^2

Elliptic Cone: z^2 = x^2+3*y^2

Ellipsoid: x^2/4+y^2/9+z^2 = 1

Hyperboloid of One Sheet: x^2+y^2-z^2 = 1

Hyperboloid of Two Sheets: -x^2-y^2+z^2 = 1

Hyperbolic Paraboloid: z = x^2-y^2

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