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 surface; that is, a …

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 other and …

Dec 22, 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-axes are of …

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.

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.

An ellipsoid is a three-dimensional shape for which all plane cross-sections are either ellipses or circles. The ellipsoid has three axes which intersect at the centre of the ellipsoid.

An ellipsoid is a three-dimensional surface that is a 3D analogue of an ellipse. It can be visualized as a sphere that has been stretched or compressed along its three perpendicular axes.

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 geometric shape that can be visualized as a stretched or flattened version of a sphere. In other words, it's a smooth, closed surface similar to a sphere but with different …

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.