different between ellipsoid vs ellipsoidally
ellipsoid
English
Etymology
ellipse +? -oid
Noun
ellipsoid (plural ellipsoids)
- (mathematics, geometry) A surface, all of whose cross sections are elliptic or circular (including the sphere), that generalises the ellipse and in Cartesian coordinates (x, y, z) is a quadric with equation x2/a2 + y2/b2 + z2/c2 = 0.
- 2002, John Michael Hollas, Basic Atomic and Molecular Spectroscopy, page 133,
- Polarizability can be imagined as a three-dimensional ellipsoid centred on the centre of the molecule, as shown in Figure 10.4.
- 2004, Alfred Leick, GPS Satellite Surveying, 3rd Edition, page 367,
- Because only ellipsoids of rotation have been adopted in practical geodesy and surveying and triaxial ellipsoids have been limited to theoretical studies, we will use the term ellipsoid for brevity to mean ellipsoid of rotation.
- 2010, Jan Van Sickle, Basic GIS Coordinates, 2nd Edition, page 73,
- As mentioned before, modern geodetic datums rely on the surfaces of geocentric ellipsoids to approximate the surface of the earth.
- 2002, John Michael Hollas, Basic Atomic and Molecular Spectroscopy, page 133,
- (geography) Such a surface used as a model of the shape of the earth.
Usage notes
The general case, with semiaxes a, b and c all different, is a triaxial ellipsoid (more rarely, scalene ellipsoid). If two are the same, say b = c, the result is an ellipsoid of revolution, which may be oblate (if a < b) or prolate (a > b). The degenerate case a = b = c is a sphere. An ellipsoid of revolution is also called a spheroid.
Hypernyms
- quadric surface, quadric
Derived terms
- ellipsoid of revolution
- ellipsoid geodesic
- ellipsoid method
- ellipsoid packing
- scalene ellipsoid (rare)
- triaxial ellipsoid
Related terms
- ellipsoidal
- subellipsoid
Translations
See also
- geoid
Adjective
ellipsoid (comparative more ellipsoid, superlative most ellipsoid)
- Shaped like an ellipse; elliptical.
- (mathematics) Of or pertaining to an ellipse; elliptic.
- (botany) Having the tridimensional shape of an ellipse rotated on its long axis.
Related terms
- ellipsoidal
- globoid
- ovoid
Translations
See also
- globose
- oblong
Swedish
Noun
ellipsoid c
- (mathematics) ellipsoid
Declension
ellipsoid From the web:
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ellipsoidally
English
Etymology
ellipsoidal +? -ly
Adverb
ellipsoidally (comparative more ellipsoidally, superlative most ellipsoidally)
- In an ellipsoidal manner
- In the form of an ellipsoid
ellipsoidally From the web:
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- what does ellipsoidal mean
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