- 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 -- 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
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 they intersect at one point, called the center of the ellipsoid
- 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
- 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
- Ellipsoid: Definitions and Examples - Club Z! Tutoring
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
- Ellipsoid - Encyclopedia of Mathematics
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 ellipsoid of revolution by planes parallel to the plane of the equal semi-axes are circles
- Geometry - Ellipsoids - TechnologyUK
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 Each axis is perpendicular to the other two, and the ellipsoid is symmetrical around all three axes
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