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Ellipsoid

An ellipsoid is a surface that can be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation.

Standards & Applications

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Explore the main themes, entities and connections around Ellipsoid. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Standard equation

Parameterization

Volume

Surface area

Plane sections

Pins-and-string construction

In higher dimensions and general position

Applications

Advanced semantic analysis

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Map overview Semantic statistics

Ellipsoid

Nodes136
Edges135
Triples79
Avg. degree1.99
Density0.014706
Components1

How this topic connects Entity context

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Ellipsoid

Top relations

is a · 10
Ellipsoid → affine image of the unit sphere.An affine transformation can be represented by a translation with a vector f0 and a regular 3, ellipse or a single point, ellipsoid of revolution, image of the unit sphere under some affine transformation, most general shape for which it has been possible to calculate the creeping flow of fluid around the solid shape, origin, sphere that has been flattened, sphere.When a, surface that can be obtained from a sphere by deforming it by means of directional scalings, transfer of the idea constructing an ellipse using two pins and a string
related to Confocal ellipsoids · 6
Ellipsoid → Apple Chancery, If, Lucida Calligraphy, Monotype Corsiva, Tex Gyre Chorus, URW Chancery
related to Limit case, ellipsoid of revolution · 6
Ellipsoid → F1, F2, In, S1, S2, The
related to Plane sections · 6
Ellipsoid → Any, Circular, Obviously, So, The, This
related to Semi-axes · 6
Ellipsoid → Equations, F1, F2, Hence, Solving, The
related to Steps of the construction · 6
Ellipsoid → Choose, F2, Pin, S1, The, Then
related to External links · 4
Ellipsoid → Jeff Bryant, MathWorld, Quadratic Surface, Wolfram Demonstrations Project
see also · 4
Ellipsoid → Earth, Ellipsoidal, Focaloid, List
has application · 3
Ellipsoid → Earth, Reference, The
related to As a quadric · 3
Ellipsoid → For, If, The

Important terminology Word statistics

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Important terminology

ellipse sphere axes surface two spheroid displaystyle length equation called see also point axis three semi-axes general one string triaxial

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Ellipsoidis asurface that can be obtained from a sphere by deforming it by means of directional scalings0.90text
Ellipsoidis aellipsoid of revolution0.90text
Ellipsoidis asphere that has been flattened0.90text
Ellipsoidis asphere.When a0.90text
Ellipsoidis aimage of the unit sphere under some affine transformation0.90text
Ellipsoidis aellipse or a single point0.90text
Ellipsoidis atransfer of the idea constructing an ellipse using two pins and a string0.90text
Ellipsoidis aaffine image of the unit sphere.An affine transformation can be represented by a translation with a vector f0 and a regular 30.90text
Ellipsoidis aorigin0.90text
Ellipsoidis amost general shape for which it has been possible to calculate the creeping flow of fluid around the solid shape0.90text
Haumea generally rotate along their minor axesinstance ofmoment of inertia considerations mean that rotation along the major axis is more easily perturbed than rotation along the minor axis.One practical effect of this is that scalene…0.80text
Ellipsoidhas applicationThe0.60section

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