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Concept information

geometry > convex analysis > ellipsoid

Preferred term

ellipsoid  

Definition(s)

  • An ellipsoid is a surface that can be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation. An ellipsoid is a quadric surface;  that is, a surface that may be defined as the zero set of a polynomial of degree two in three variables. Among quadric surfaces, an ellipsoid is characterized by either of the two following properties. Every planar cross section is either an ellipse, or is empty, or is reduced to a single point (this explains the name, meaning "ellipse-like"). It is bounded, which means that it may be enclosed in a sufficiently large sphere.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Ellipsoid)

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URI

http://data.loterre.fr/ark:/67375/PSR-X85GRS33-Z

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