ellipsoid


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Related to ellipsoid: geoid, ellipsoid joint

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 ?
In the last column of Table 1, the volume of stable ellipsoids, derived via optimization over linear matrix inequalities [5] (case a), are presented.
It is generally accepted that convex oblate ellipsoid surfaces are used to reduce edge thickness of negatively powered lenses.
6] S, H, F, J, and W,--can be extracted from the orbit parameters of the satellite and the parameters of the earth and the ellipsoid.
The CIEDE2000 equation includes an additional term that rotates the ellipsoids in the blue region when plotted in L* a* b* space.
Plane xoy of the horizontal coordinate system passes through observation equipment and is perpendicular at this point to normal of the ellipsoid describing the geodetic coordinate system (Fig).
From the revolved ellipsoid, the sweep is subtracted through Boolean operations.
Ao The dramatic design has a 45m-diameter canopy in the form of an ellipsoid that is suspended from cables originating from a 55m-high mast.
She situates individual world maps like Bianco's, Mauro's, and an ellipsoid Genoese world map of 1459 in the confrontation between marine maps and a changing image of the inhabited world of circular format.
This result is extended in the final section to deal with the case that the support is an ellipsoid or the Cartesian product of two balls.
The next day is spent in waders, sloshing about the berry tides, watching the fruit being corralled--gathered by floating tubes, into vast crimson ellipsoid carpets.
The formula for volume of half an ellipsoid overestimated mound volume compared with summing the area under a raster of the mound Vogt: 3D Characteristics of Fire Ant Mounds 555 surface (Paired t -test, P = 0.
There is a strong difference in the pseudo-current distribution comparing rest and stress results in the posterior medial to apical ellipsoid.