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.
For both actual and simulated ellipsoids, Torquato and his colleagues now find that random packings fill as much as 73.
The minimum, maximum and average diameters of PET particles, spheres, ellipsoids, rods and microfibers were roughly calculated from the morphological observation results of the blends with different PE concentrations as a function of hot stretching ratio as shown in Fig.
With the hi-fi photographs, ellipsoids, or with the works made of concrete, I had an idea and realized it forcefully.
The spherical voids deformed into ellipsoids by the tensile stress up to the yield point.
e] is the number of equivalent ellipsoids in the first Brillouin zone, the volume of the unit cell is V= [a.
electric and magnetic fields associated with ellipsoids
Lack of a coordinate transformation interface standard has prevented web users from easily accessing and overlaying maps or earth images that have been created and referenced to the earth using different datums, ellipsoids, projections and units.
Although SAFEWORK was built to analyze CAD designs imported from a host of CAD systems, it also possesses some basic CAD tools to create simple geometric objects including spheres, cubes, cones, ellipsoids.
When the molten mix is subjected to a flow field, the strains deform the suspended droplets into ellipsoids and finally into elongated cylinders.
Banner achieves a remarkable range of forms by expanding full stops in different fonts to 1800 point size and then projecting them into three-dimensional objects: cubes, spheres, ellipsoids, and other less orthodox shapes of quite varying sizes.
The new capabilities for MicroStation GeoGraphics support a full complement of coordinate systems and transformations, including definitions of custom ellipsoids, geodetic datum, and automatic grid generation.