ellipsoid
Hello, you have come here looking for the meaning of the word ellipsoid. In DICTIOUS you will not only get to know all the dictionary meanings for the word ellipsoid, but we will also tell you about its etymology, its characteristics and you will know how to say ellipsoid in singular and plural. Everything you need to know about the word ellipsoid you have here. The definition of the word ellipsoid will help you to be more precise and correct when speaking or writing your texts. Knowing the definition ofellipsoid, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.
See also: Ellipsoid
English
Etymology
Pronunciation
- (UK) IPA(key): /ɪˈlɪp.sɔɪd/
- (US) IPA(key): /ɪˈlɪp.sɔɪd/, /əˈlɪp.sɔɪd/, /iˈlɪp.sɔɪd/
- (General Australian) IPA(key): /əˈlɪp.soɪd/, /ɪˈlɪp.soɪd/
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 = 1.
- 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.
- (geography) Such a surface used as a model of the shape of the earth.
- Here the geoid is thirty meters below the ellipsoid.
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
- Bessel ellipsoid
- ellipsoid of revolution
- ellipsoid geodesic
- ellipsoid method
- ellipsoid packing
- Hayford ellipsoid
- Jacobi ellipsoid
- scalene ellipsoid (rare)
- triaxial ellipsoid
Related terms
Translations
surface all of whose cross sections are elliptic or circular
|
See also
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
Translations
shaped like an ellipse — see elliptical
of or pertaining to an ellipse
|
having the shape of an ellipse rotated on its long axis
|
See also
Swedish
Noun
ellipsoid c
Declension
| Declension of ellipsoid | ||||
|---|---|---|---|---|
| Singular | Plural | |||
| Indefinite | Definite | Indefinite | Definite | |
| Nominative | ellipsoid | ellipsoiden | ellipsoider | ellipsoiderna |
| Genitive | ellipsoids | ellipsoidens | ellipsoiders | ellipsoidernas |