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 ?
Another possibility for ellipsoid to normal heights conversion is the application of one-dimensional surface transformation (Xu, 2007).
TELIOSPORES 2-celled abundant, sometimes 1-celled, dimorphic, ellipsoid or oblong, golden brown to blackish brown or chestnut, 20-27.
Surfaces of constant ellipsoidal coordinates: for the ellipsoid, [xi] = 1.
sf] can be determined by (3) to change the ellipsoid response to a circle.
i] is the vertical distance from the center of a spherical or ellipsoid to the surface of each element.
A KDOPs with K = 8 is represented in (e), while an Ellipsoid is depicted in (f).
Using the same reference ellipsoid and gravimetric system, interpolating gravity values from an existing gravity database and calculating the correction using the algorithm described by formulae (8)-(10) the correction amounts to 1.
To cover several kinds of mismatches together, the adaptive flat ellipsoid models are introduced in our method as tight as possible.
Urediniospores subglobose, ellipsoid or obovoid, yellowish brown, 19-25 x 28-35 (-40) um; wall echinulate, 1-1.
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.