Definition of ellipsoid. Meaning of ellipsoid. Synonyms of ellipsoid

Here you will find one or more explanations in English for the word ellipsoid. Also in the bottom left of the page several parts of wikipedia pages related to the word ellipsoid and, of course, ellipsoid synonyms and on the right images related to the word ellipsoid.

Definition of ellipsoid

Ellipsoid
Ellipsoid El*lip"soid, n. [Ellipse + -oid: cf. F. ellipsoide.] (Geom.) A solid, all plane sections of which are ellipses or circles. See Conoid, n., 2 (a) . Note: The ellipsoid has three principal plane sections, a, b, and c, each at right angles to the other two, and each dividing the solid into two equal and symmetrical parts. The lines of meeting of these principal sections are the axes, or principal diameters of the ellipsoid. The point where the three planes meet is the center. Ellipsoid of revolution, a spheroid; a solid figure generated by the revolution of an ellipse about one of its axes. It is called a prolate spheroid, or prolatum, when the ellipse is revolved about the major axis, and an oblate spheroid, or oblatum, when it is revolved about the minor axis.
Ellipsoid
Ellipsoid El*lip"soid, Ellipsoidal El`lip*soi"dal, a. Pertaining to, or shaped like, an ellipsoid; as, ellipsoid or ellipsoidal form.
ellipsoid
Conoid Co"noid, n. [Gr. ? conical; ? cone + ? from: cf. F. cono["i]de.] 1. Anything that has a form resembling that of a cone. 2. (Geom.) (a) A solid formed by the revolution of a conic section about its axis; as, a parabolic conoid, elliptic conoid, etc.; -- more commonly called paraboloid, ellipsoid, etc. (b) A surface which may be generated by a straight line moving in such a manner as always to meet a given straight line and a given curve, and continue parallel to a given plane. --Math. Dict.

Meaning of ellipsoid from 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...
- the angle formed between the vector perpendicular (or normal) to the ellipsoidal surface from the point, and the plane of the equator. Two levels of abstraction...
- An Earth ellipsoid or Earth spheroid is a mathematical figure approximating the Earth's form, used as a reference frame for com****tions in geodesy, astronomy...
- the ellipsoid method is an iterative method for minimizing convex functions over convex sets. The ellipsoid method generates a sequence of ellipsoids whose...
- In geodesy, the Hayford ellipsoid is a reference ellipsoid named after the American geodesist John Fillmore Hayford (1868–1925), which was introduced in...
- The study of geodesics on an ellipsoid arose in connection with geodesy specifically with the solution of triangulation networks. The figure of the Earth...
- the motion of its inertia ellipsoid, which is rigidly fixed to the rigid body like a coordinate frame. Its inertia ellipsoid rolls, without slipping, on...
- A Jacobi ellipsoid is a triaxial (i.e. scalene) ellipsoid under hydrostatic equilibrium which arises when a self-gravitating, fluid body of uniform density...
- A spheroid, also known as an ellipsoid of revolution or rotational ellipsoid, is a quadric surface obtained by rotating an ellipse about one of its prin****l...
- Ellipsoidal coordinates are a three-dimensional orthogonal coordinate system (λ,μ,ν){\displaystyle (\lambda ,\mu ,\nu )} that generalizes the two-dimensional...