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 …

Dec 3, 2025 · The general ellipsoid, also called a triaxial ellipsoid, is a quadratic surface which is given in Cartesian coordinates by (x^2)/ (a^2)+ (y^2)/ (b^2)+ (z^2)/ (c^2)=1, (1) where the semi …

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 …

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

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 …

Apr 24, 2012 · An ellipsoid is a closed central surface of the second order (see Figure 1). The canonical equation of an ellipsoid has the form $$ \frac {x^2} {a^2} + \frac {y^2} {b^2} + \frac …

In geometry when we are to define an Ellipsoid, we say that it is a closed surface whose all plane cross-sections are either ellipses or circles. An ellipsoid is symmetrical at around three …