An ellipsoid is a surface that can be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation. An ellipsoid is a quadric …

Ellipsoid, closed surface of which all plane cross sections are either ellipses or circles. An ellipsoid is symmetrical about three mutually perpendicular axes that intersect at the centre. If a, b, and …

Ellipsoids are often classified based on the lengths of their semi-axes, a, b, and c. An ellipsoid has three axes of rotational symmetry. If an ellipsoid is rotated 180° (half a turn) about its axes, it …

6 days ago · There are two families of parallel circular cross sections in every ellipsoid. However, the two coincide for spheroids (Hilbert and Cohn-Vossen 1999, pp. 17-19). If the two sets of …

The meaning of ELLIPSOID is a surface all plane sections of which are ellipses or circles.

Ellipsoidal definition: pertaining to or having the form of an ellipsoid.. See examples of ELLIPSOIDAL used in a sentence.

Aug 4, 2025 · Among these many forms, the ellipsoidal shape stands out as a common yet remarkable geometric configuration. This three-dimensional form appears in various natural …

In astronomy, ellipsoids help describe the shape of celestial bodies like planets or stars that aren’t perfectly spherical due to their rotation. For instance, an oblate ellipsoid is used to represent …

Just as an ellipse is a generalization of a circle, an ellipsoid is a generalization of a sphere. In fact, our planet Earth is not a true sphere; it's an ellipsoid, because it's a little wider than it is tall. As …

Oct 31, 2025 · Because only ellipsoids of rotation have been adopted in practical geodesy and surveying and triaxial ellipsoids have been limited to theoretical studies, we will use the term …