ellipsoid - Maple Help

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ellipsoid

surface area of an ellipsoid

 Calling Sequence ellipsoid(a, b, c)

Parameters

 a, b, c - the three principal semi-axes of the ellipsoid

Description

 • The procedure ellipsoid returns the surface area of an ellipsoid whose semi-axes are a, b, and c where $b\le a$, $c\le b$, $0\le c$. For a general ellipsoid the result is expressed as an unevaluated integral in terms of Int, which may be numerically evaluated by evalf.
 • When two or more of the arguments are the same, then a solvable integral can be created.  Otherwise, elliptical integrals are needed to evaluate the general case.

Examples

 > $\mathrm{evalf}\left(\mathrm{ellipsoid}\left(5,3,2\right)\right)$
 ${134.7751767}$ (1)