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 …

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 …

An ellipsoid has three axes of rotational symmetry. If an ellipsoid is rotated 180° (half a turn) about its axes, it will look the same as the original shape. The three axes are perpendicular to each …

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.

An ellipsoid is a three-dimensional geometric figure that resembles a sphere, but whose equatorial axis (a in Figure 2.15.1, above) is slightly longer than its polar axis (b).

Apr 24, 2012 · The section of an ellipsoid by any plane is an ellipse. If two semi-axes of an ellipsoid are equal, the ellipsoid is called an ellipsoid of revolution, and the sections of an …

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.