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.
Read more about this topic: Semidiameter
Other articles related to "special cases, case":
... If the circles have the same center but different radii, both the external and internal coincide with the common center of the circles ... This can be seen from the analytic formula, and is also the limit of the two homothetic centers as the centers of the two circles are varied until they coincide, holding the radii equal ...
... Damages is money claimed in compensation for some failure by the other party to a case ... Act 1858, which gave it that right, but in some special cases it had been able to provide damages for over 600 years ... In Cardinal Beaufort's case in 1453, for example, it is stated that "I shall have a subpoena against my feoffee and recover damages for the value of the land" ...
... This is true only for some very special cases e.g ... the constraint forces (which is not usually the case, so this derivation works only for special cases), the constraint forces do no work ...
Famous quotes containing the words cases and/or special:
“Colonel, never go out to meet trouble. If you will just sit still, nine cases out of ten someone will intercept it before it reaches you.”
—Calvin Coolidge (18721933)
“The English language is nobodys special property. It is the property of the imagination: it is the property of the language itself.”
—Derek Walcott (b. 1930)