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ellipsoid    音标拼音: [ɪl'ɪpsɔɪd]
n. 椭圆体

椭圆体

ellipsoid
adj 1: having the nature or shape of an ellipsoid [synonym:
{ellipsoid}, {ellipsoidal}, {spheroidal}]
n 1: a surface whose plane sections are all ellipses or circles;
"the Earth is an ellipsoid"

Conoid \Co"noid\ (k[=o]"noid), n. [Gr. kwnoeidh`s conical;
kw^nos cone e'i^dos form: cf. F. cono["i]de.]
1. Anything that has a form resembling that of a cone.
[1913 Webster]

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.
[1913 Webster]


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) .
[1913 Webster]

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.
[1913 Webster]

{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. Elliptic


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  • 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 | 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
  • 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 - Mathepedia
    Allgemein ist ein Ellipsoid die Lösungsmenge einer quadratischen Gleichung (quadratischen Form) mit positiv definiter symmetrischer reeller Matrix Q = (q i j) Q = (qij):
  • Ellipsoid - biancahoegel. de
    Ein Ellipsoid ist die 3-dimensionale Entsprechung einer Ellipse So wie sich eine Ellipse als affines Bild des Einheitskreises auffassen lässt
  • 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: A Simple Explanation - Andrea Minini
    An ellipsoid is a three-dimensional geometric shape that can be visualized as a stretched or flattened version of a sphere In other words, it's a smooth, closed surface similar to a sphere but with different proportions along its x, y, and z axes
  • Ellipsoid - DocCheck Flexikon
    Ein Ellipsoid ist die dreidimensionale Entsprechung einer Ellipse Im Gegensatz zur Kugel sind die drei räumlichen Ausdehnungen eines Ellipsoids
  • 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
  • Ellipsoid – GeoGebra
    Mit diesem GeoGebra-Apllet können Sie sich einen Ellipsoid in Abhängigkeit von seinen Halbachsenparametern im dreidimensionalen Raum anschauen Des Weiteren ist es für bestimmte Konfigurationen möglich, einen Punkt sowie seine kartesischen und oder ellipsoidischen Koordinaten und dessen Tangentialebene anzusehen





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