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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 - 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 - 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 | 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
  • 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
  • 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)
  • Ellipsoid - Encyclopedia of Mathematics
    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 ellipsoid of revolution by planes parallel to the plane of the equal semi-axes are circles
  • 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
  • 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
  • Flexi answers - lt;p gt;What is an ellipsoid? lt; p gt; | CK-12 Foundation
    An ellipsoid is a three-dimensional geometric shape that resembles a stretched or compressed sphere It is a type of quadric surface, which means it is defined by a second-degree equation in three variables





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