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# spheroid

*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).

Defines:

triaxial, oblate, prolate

Synonym:

ellipsoid of revolution

Type of Math Object:

Definition

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Reference

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## Mathematics Subject Classification

51M05*no label found*

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