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[parent] spheroid (Definition)

A spheroid or ellipsoid of revolution is an ellipsoid such that two of the axes are equal in length. The name ellipsoid of revolution refers to the fact that such a shape is rotationally symmetric about the third axis. By way of contrast, the term triaxial ellipsoid is used to specify that the three axes are of different lengths. Also, the term oblate is used to describe spheriods in which the two axes of equal length are longer than the third (think of a doorknob) whilst the term prolate is used to describe spheriods for which the two equally long axes are shorter than the third axis (think of a cigar).




"spheroid" is owned by rspuzio.
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Other names:  ellipsoid of revolution
Also defines:  triaxial, oblate, prolate

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Cross-references: term, axis, symmetric about, length, ellipsoid

This is version 2 of spheroid, born on 2005-01-12, modified 2005-01-12.
Object id is 6638, canonical name is Spheroid.
Accessed 5435 times total.

Classification:
AMS MSC51M05 (Geometry :: Real and complex geometry :: Euclidean geometries and generalizations)

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