# ellipsoid

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## ellipsoid

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

## ellipsoid

(i-lip -soid) A surface or solid whose plane sections are circles or ellipses. An ellipse rotated about its major or minor axis is a particular type of ellipsoid, called a prolate spheroid (major axis) or an oblate spheroid (minor axis).

## Ellipsoid

a closed central quadric surface. An ellipsoid has a center of symmetry O (see Figure 1) and three axes of symmetry, which are called the axes of the ellipsoid. The plane sections of

Figure 1

ellipsoids are ellipses; in particular, one can always find a plane section that is a circle. In a suitable coordinate system the equation of an ellipsoid has the form

## ellipsoid

[ə′lip‚sȯid]
(mathematics)
A surface whose intersection with every plane is an ellipse (or circle).
References in periodicals archive ?
The distribution in Figure 10 was then estimated by an ellipsoidal isopleth described by Equation 7.
For use within the volume element in subsequent integrals, the jacobian of the transformation between cartesian and ellipsoidal coordinates, as defined above, is ([[eta].
The geographic coordinates including ellipsoidal heights (h) were determined in static positioning mode and referred to Turkish National Fundamental GPS Network (TUTGA).
In this case, based on the ellipsoidal estimation error set in [8], (30) is guaranteed by
Noghanian "A 3-D geomatterically based ellipsoidal wireless channel model," ANTEM 12th International Symposium on Antenna Technology and Applied Electromagnetic.
Space highways are modelled as ellipsoidal forms with coefficients as columns of a gravitational tensor.
5b demonstrates that by decreasing the sample thickness from 5 to 4 and finally to 3 mm, the cells in the outer zone change from ellipsoidal to elongated shape, and almost disappear finally.
5 cm###dark brown yellow###to conidiophore , conidia###simple and branched###Cylindrical or ellipsoidal,
The ellipsoidal inner integral for each surface area can be determined analytically (which involves using elliptic integrals).
Computational parameters obtained for the ellipsoidal phantom inside a rectangular waveguide.
The 76 papers discuss such topics as different activities of osteoblast and bacteria on a nanostructured titanium surface for dental implant, investigating the dynamic response of functionally graded materials using smoothed particle hydrodynamics, the influence of mineral aggregate gradations and spatial distribution on the performance of asphalt mixtures, feature selection of sudden failure based on affinity propagation clustering, analyzing the durability of the reduction gear for high speed trains considering driving histories, the finite element analysis of the mobile plate electrostatic precipitator wide column parts, and an ellipsoidal tool as a nanoscale removal processor for computer and digital systems.
These shapes are special cases of ellipsoidal ferromagnetic body.

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