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
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
Ellipsoidal vs. Elliptical — What’s the Difference? Ellipsoidal refers to a three-dimensional shape resembling an ellipse, focusing on volume, while elliptical generally describes a two-dimensional ellipse, emphasizing its flat, curvy nature
Ellipsoidal - Definition, Meaning Synonyms - Vocabulary. com DISCLAIMER: These example sentences appear in various news sources and books to reflect the usage of the word ‘ellipsoidal' Views expressed in the examples do not represent the opinion of Vocabulary com or its editors
Ellipsoid - Simple English Wikipedia, the free encyclopedia An ellipsoid is a shape like a sphere, but prolate (longer in one or more directions) like a rugby ball, or like an egg It is the 3 dimensional analogue of an ellipse The Earth is shaped slightly like an ellipsoid Its shape is called an oblate spheroid
Ellipsoidal - definition of ellipsoidal by The Free Dictionary Define ellipsoidal ellipsoidal synonyms, ellipsoidal pronunciation, ellipsoidal translation, English dictionary definition of ellipsoidal ellipsoid The equation for an ellipsoid is x2 a2 + y2 b2 + z2 c2 = 1 n A geometric surface, all of whose plane sections are either ellipses or circles
The ellipsoid - Math Insight Description of the ellipsoid with interactive graphics that illustrate cross sections and the effect of changing parameters