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.

2 days ago · 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. In spherical coordinates, this becomes (r^2cos^2thetasin^2phi)/ (a^2)+ (r^2sin^2thetasin^2phi)/ (b^2)+ (r^2cos^2phi)/ (c^2)=1.

Ellipsoid. An ellipsoid is a 3D geometric figure that has an elliptical shape. It can be viewed as a stretched sphere. An ellipsoid gets its name from an ellipse. Any plane that cuts through an ellipsoid forms an ellipse. Two ellipsoids are shown in the figure below. Real life examples of an ellipsoid include an egg or a blimp. Ellipsoid equation

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.

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.

Calculates ellipsoid and spheroid volume and surface area. Ellipsoid is a sphere-like surface for which all cross-sections are ellipses. where a - radius along x axis, b - radius along y axis, c - radius along z axis. The surface area of a general ellipsoid cannot be expressed exactly by an elementary function.

Dec 7, 2016 · The meaning of ELLIPSOID is a surface all plane sections of which are ellipses or circles.

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.

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. An ellipsoid has three semi-axes, a, b, and c, which are the lengths of …

The basic ellipsoid is given by the equation: $$\frac{x^2}{A^2}+\frac{y^2}{B^2} + \frac{z^2}{C^2} = 1$$ 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.