ellipsoid

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Related to ellipsoid: geoid, ellipsoid joint
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.

el•lip•soid

(ɪˈlɪp sɔɪd)

n.
1. a solid figure whose plane sections are all ellipses or circles.
[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:
 Noun 1 ellipsoid - 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 ellipsoidrounded - 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.
The scientists fit the CME data to their models one called the croissant model for the shape of nascent shocks, and the other the ellipsoid model for the shape of expanding shocks to uncover the 3-D structure and trajectory of each CME and shock.
The Company expects to enroll approximately 120 patients in this trial and plans to use an anatomic endpoint, the mean rate of change in the area of ellipsoid zone defect as measured by en face spectral domain optical coherence tomography, as the primary endpoint, which will be assessed at 18 months.
Maculopathy seen in Group 1 included: ellipsoid layer and retinal pigment epithelium (RPE) layer disruption, macular edema, and macular hemorrhage.
The primary endpoint, change in the ellipsoid zone from baseline to month 24, was measured by spectral domain optical coherence tomography (SD-OCT).
Ascospores were mostly ellipsoid or ovoid in mature asci of both species.
Monad pollen mostly of ellipsoid and oblong shapes were the characteristics of all the specimens discussed so for.
The monograph introduces the basic minimum-volume enclosing ellipsoid problem for the convex hull of a finite set of points, and coordinate-ascent algorithms for the centered minimum-volume enclosing ellipsoid problem, showing how rank-one update formulae make each iteration of Frank-Wolfe type algorithms cheap to perform.
All these models tie geocentric ellipsoid height with Kronsztadt normal heights system.
UREDINIOSPORES globose to sub-globose, obovoid or ellipsoid or elongated ellipsoid, hyaline to light brown, 20-32.
Whereas these coordinates have been described as prolate spheroidal, the presence of a characteristic ellipsoid with its two foci makes preferable a description as ellipsoidal coordinates.
In order to take into account the distribution of arc thermal flow along the direction of workpiece thickness, the volume distributed thermal source can be described as the ellipsoid mode (including the semi-ellipsoid and dual-ellipsoid).

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