# ellipsoid

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## ellipsoid

a geometric surface, symmetrical about the three coordinate axes, whose plane sections are ellipses or circles. Standard equation:

*x*^{2}/*a*^{2}+*y*^{2}/*b*^{2}+*z*^{2}/*c*^{2}= 1, where ?*a*, ?*b*, ?*c*are the intercepts on the*x-, y-,*and*z-*axes## ellipsoid

(i-**lip**-soid) A surface or solid whose plane sections are circles or ellipses. An ellipse rotated about its major or minor axis is a particular type of ellipsoid, called a

*prolate spheroid*(major axis) or an

*oblate spheroid*(minor axis).

## Ellipsoid

a closed central quadric surface. An ellipsoid has a center of symmetry *O* (see Figure 1) and three axes of symmetry, which are called the axes of the ellipsoid. The plane sections of

ellipsoids are ellipses; in particular, one can always find a plane section that is a circle. In a suitable coordinate system the equation of an ellipsoid has the form

## ellipsoid

[ə′lip‚sȯid] (mathematics)

A surface whose intersection with every plane is an ellipse (or circle).