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  1. 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 …

  2. Ellipsoid - from Wolfram MathWorld

    3 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 …

  3. 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 …

  4. 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.

  5. 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.

  6. 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).

  7. Ellipsoid - Encyclopedia of Mathematics

    Apr 24, 2012 · 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 …

  8. 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.

  9. Ellipsoid: Definition, Equation & Volume Explained Simply - Vedantu

    An ellipsoid is a three-dimensional surface that is a 3D analogue of an ellipse. It can be visualized as a sphere that has been stretched or compressed along its three perpendicular axes.

  10. ellipsoid - Wiktionary, the free dictionary

    2 days ago · ellipsoid (plural ellipsoids) (mathematics, geometry) A surface, all of whose cross sections are elliptic or circular (including the sphere), that generalises the ellipse and in …