# Semidiameter - Special Cases

Special Cases

The semi-diameter of a sphere, circle, or interval is the same thing as its radius — namely, any line segment from the center to its boundary.

The semi-diameters of a non-circular ellipse are the halves of its extents along the two axes of symmetry. They are the parameters a, b of the implicit equation

Likewise, the semi-diameters of an ellipsoid are the parameters a, b, and c of its implicit equation

The semi-diameters of a superellipse, superellipsoid, or superquadric can be identified in the same way.

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The English language is nobody’s special property. It is the property of the imagination: it is the property of the language itself.
Derek Walcott (b. 1930)