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.
Source: Webster's Revised Unabridged Dictionary (1913)
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Ellipsoid \El*lip"soid\, Ellipsoidal \El`lip*soi"dal\, a.
Pertaining to, or shaped like, an ellipsoid; as, ellipsoid or
ellipsoidal form.
Source: Webster's Revised Unabridged Dictionary (1913)
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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.
Source: Webster's Revised Unabridged Dictionary (1913)
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