Ellipsoid

Ellipsoids of revolution (spheroid) with a pair of equal semi-axes (a) and a distinct third semi-axis (c) which is an axis of symmetry. The ellipsoid is prolate (top) or oblate (bottom) as c is greater than or less than a.

An ellipsoid is a closed quadric surface that is a three-dimensional analogue of an ellipse. The standard equation of an ellipsoid centered at the origin of a Cartesian coordinate system and aligned with the axes is

The points (a,0,0), (0,b,0) and (0,0,c) lie on the surface and the line segments from the origin to these points are called the semi-principal axes of length a, b, c. They correspond to the semi-major axis and semi-minor axis of the appropriate ellipses.

单词	Jacobi ellipsoid
释义	Jacobi ellipsoid 英语百科 Ellipsoid An ellipsoid is a closed quadric surface that is a three-dimensional analogue of an ellipse. The standard equation of an ellipsoid centered at the origin of a Cartesian coordinate system and aligned with the axes is The points (a,0,0), (0,b,0) and (0,0,c) lie on the surface and the line segments from the origin to these points are called the semi-principal axes of length a, b, c. They correspond to the semi-major axis and semi-minor axis of the appropriate ellipses.
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Jacobi ellipsoid

Ellipsoid