An ellipsoidMathworldPlanetmathPlanetmath is a subset of 3 consisting of points (x,y,z)3 such that


for some a,b,c>0.


  1. 1.

    If a=b=c, the ellipsoid reduces to a sphere.

  2. 2.

    If we fix the value of any of x,y,z to some constant, say x=C, we obtain an ellipsePlanetmathPlanetmath in the plane (C,y,z).

  3. 3.

    The ellipse determined by a,b,c is the unit sphereMathworldPlanetmath of the norm

Title ellipsoid
Canonical name Ellipsoid
Date of creation 2013-03-22 14:56:45
Last modified on 2013-03-22 14:56:45
Owner matte (1858)
Last modified by matte (1858)
Numerical id 6
Author matte (1858)
Entry type Definition
Classification msc 51M05
Related topic Sphere
Related topic QuadraticSurfaces
Related topic Ellipse2
Related topic VolumeOfEllipsoid