ellipsoid

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ellipsoid
The equation for an ellipsoid is
x2/a2 + y2/b2 + z2/c2 = 1.

el·lip·soid

 (ĭ-lĭp′soid′)
n.
A geometric surface, all of whose plane sections are either ellipses or circles.

el·lip′soid′, el·lip′soi′dal (ĭ-lĭp′soid′l, ĕl′ĭp-, ē′lĭp-) adj.

ellipsoid

(ɪˈlɪpsɔɪd)
n
(Mathematics)
a. a geometric surface, symmetrical about the three coordinate axes, whose plane sections are ellipses or circles. Standard equation: x2/a2 + y2/b2 + z2/c2 = 1, where ±a, ±b, ±c are the intercepts on the x-, y-, and z- axes
b. a solid having this shape: the earth is an ellipsoid.
ellipsoidal adj

el•lip•soid

(ɪˈlɪp sɔɪd)

n.
1. a solid figure whose plane sections are all ellipses or circles.
adj.
[1715–25; < French ellipsoïde]

el·lip·soid

(ĭ-lĭp′soid′)
A three-dimensional geometric figure resembling a flattened sphere. Any cross section of an ellipsoid is an ellipse or circle.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.ellipsoid - a surface whose plane sections are all ellipses or circlesellipsoid - a surface whose plane sections are all ellipses or circles; "the Earth is an ellipsoid"
plane figure, two-dimensional figure - a two-dimensional shape
Adj.1.ellipsoid - having the nature or shape of an ellipsoid
rounded - curving and somewhat round in shape rather than jagged; "low rounded hills"; "rounded shoulders"
Translations
ellipsoidi
ellipsoid
References in classic literature ?
Like Sir George Cayley's balloon, his own was an ellipsoid.
A ritual of childhood compels me to dye ellipsoids,
As our following figures demonstrate plainly, the shapes of these ellipsoidal amplitude functions depend markedly on distance d between the centres of the ellipsoids.
Using the ellipsoid concentration model it is possible to receive ellipsoids with different L that depend on changing parameters of the model.
Some assumptions are introduced to reduce the search range of the center points and the radius of spheres or ellipsoids.
The bounding volumes most frequently used are spheres, cylinders, ellipsoids, and boxes.
The updated estimate is based on a significantly smaller mining-panel size and more constrained search ellipsoids.
Minute patterns featuring uniform hemispheres, tetrahedrons, square pyramids, ellipsoids, cylinders and other shapes can be created with micron-level precision.
We limit our attention to the question for ellipsoids and spheres.
and where [lambda] parameterizes a family of ellipsoids.
The nanojet formed in the vicinity of the shadow ellipsoids surface having a decreasing optical contrast (g < 1) between shells has the longer effective length, but its peak intensity is low and the FWHM is wide.
Ellipsoids are extremely useful since it possible to find good approximations of different inclusions by changing the semi-axis [10], e.