# 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.
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## 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"
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
ellipsoidi
ellipsoid
References in classic literature ?
"Like Sir George Cayley's balloon, his own was an ellipsoid. Its length was thirteen feet six inches - height, six feet eight inches.
To cover several kinds of mismatches together, the adaptive flat ellipsoid models are introduced in our method as tight as possible.
To avoid both the inconsistency of the basic convex combination and the lack of performance of the covariance intersection method, internal ellipsoid approximation fusion (IEAF) has been proposed [15].
Obviously, such scatterers will all lie on the surface of an ellipsoid, with the transmit and receive aircraft located in the foci of this ellipsoid.
At each sampling instant, the predicted future states on the finite horizon are bounded by using a sequence of ellipsoids. The terminal ellipsoid is contained in a target set guaranteeing stability.
For MJS (1), an ellipsoid set [THETA] = {x [member of] [R.sup.[n.sub.x]] | [x.sup.T.sub.k][P.sub.k]([r.sub.k])[x.sub.k] [less than or equal to] [[gamma].sub.k]} associated with the state is said to be asymptotically mode-dependent stable, if the following holds, whenever [x.sub.[k.sub.0]] [member of] [THETA], then [x.sub.k] [member of] [THETA] for k [greater than or equal to] [k.sub.0] and [x.sub.k] [right arrow] 0 when k [right arrow] [infinity].
Urediniospores subglobose, ellipsoid or obovoid, yellowish brown, 19-25 x 28-35 (-40) um; wall echinulate, 1-1.5 um; germ pores upto 2, equatorial.
If this problem is extended to three-dimensions, the objective becomes that of finding the radius of a sphere such that the surface areas of the portions of the sphere and an ellipsoid that are inside one another are equal.
The block model estimate was performed using interpolation according to the inverse of the distance from nearest composites and the ellipsoid influenced distance in calculation which were adapted for the geology of the deposit by application of the variable direction search ellipsoid special tool in Genesis software for folded deposits.
Within the area of the OpRegen cell transplant, signs of a reduction and change in drusen material, as well as improvements or possible restorations of the ellipsoid zone and RPE layers, have persisted.
Mylonitic rocks formed as a result of heterogeneous shear strain in the ductile shear zone, and their fabric directly related to the strain rate, finite strain ellipsoid shape and orientation (Watts and Williams, 1983; Zhang et al., 2010; Mulchrone and Talbot, 2014; Fossen and Cavalcante, 2017).

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