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 - 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 -- 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 | 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
IGQS: Ellipsoid 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
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
14. Ellipsoids | The Nature of Geographic Information 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)