Definition of Ellipsoids. Meaning of Ellipsoids. Synonyms of Ellipsoids

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

Definition of Ellipsoids

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 Ellipsoids from wikipedia

- modeled by a best-****ed ellipsoid Homoeoid, a s**** bounded by two concentric similar ellipsoids John ellipsoid, the smallest ellipsoid containing a given...
- and the geosciences. Various different ellipsoids have been used as approximations. It is a spheroid (an ellipsoid of revolution) whose minor axis (shorter...
- all over the world. Many countries retained their previous ellipsoids. The Hayford ellipsoid is defined by its semi-major axis a = 6378388.000 m and its...
- the ellipsoid method is an iterative method for minimizing convex functions over convex sets. The ellipsoid method generates a sequence of ellipsoids whose...
- formulas for other sections of ellipsoids, not necessarily through its center. The com****tion of Löwner–John ellipsoids (and in more general, the com****tion...
- ellipsoid and r {\displaystyle r} is the mean radius, the radius of a sphere of the same volume as the ellipsoid. The Jacobi and Dedekind ellipsoids are...
- Thermal ellipsoids, more formally termed atomic displacement parameters or anisotropic displacement parameters, are ellipsoids used in crystallography...
- ellipse. There are two types of ellipsoidal domes: prolate ellipsoidal domes and oblate ellipsoidal domes. A prolate ellipsoidal dome is derived by rotating...
- this reason, geodesics on simple surfaces such as ellipsoids of revolution or triaxial ellipsoids are frequently used as "test cases" for exploring new...
- will be replaced in the next decades by modern ellipsoids of satellite geodesy. The Bessel ellipsoid was derived in 1841 by Friedrich Wilhelm Bessel...