Ellipsoid - Wikipedia 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 surface that may be defined as the zero set of a polynomial of degree two in three variables
Ellipsoid | Surfaces, Axes, Foci | Britannica 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 c are the principal semiaxes, the general equation of such an ellipsoid is x2 a2 + y2 b2 + z2 c2 = 1
Ellipsoid -- from Wolfram MathWorld 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 lengths a, b, and c
Ellipsoid - Math. net 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 will look the same as the original shape
The ellipsoid - Math Insight 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 you can verify below, all of the cross sections of an ellipsoid are ellipses