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.

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 …

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 …

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 …

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).

Aug 4, 2025 · Unlike a perfect sphere, which has a single radius, an ellipsoid is characterized by three distinct, mutually perpendicular semi-axes that determine its length, width, and depth.

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 you can verify below, all of the cross sections of an ellipsoid are ellipses.

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.

An ellipsoid is a three-dimensional shape that is symmetrical along three axes. It can be defined as the surface that results from the rotation of an ellipse about one of its axes.