different between elliptic vs ellipsoid
elliptic
English
Etymology
From Ancient Greek ??????????? (elleiptikós), from ??????? (elleíp?, “I leave out, omit”).
Adjective
elliptic (not comparable)
- (geometry) Of or pertaining to an ellipse.
- 1995, Patrick J. Roache, Elliptic Marching Methods and Domain Decomposition, page 1,
- In this chapter, the history of solving elliptic problems by direct marching methods is reviewed.
- 1995, Patrick J. Roache, Elliptic Marching Methods and Domain Decomposition, page 1,
- (mathematics) Of or pertaining to a broad field of mathematics that originates from the problem of calculating arc lengths of an ellipse.
- (mathematics, in combination, of certain functions, equations and operators) That has coefficients satisfying a condition analogous to the condition for the general equation for a conic section to be of an ellipse.
- (botany, of leaves) Oval, with a short or no point.
Synonyms
- (of or pertaining to an ellipse): elliptical
Coordinate terms
- (whose coefficients satisfy a condition): hyperbolic, parabolic
Derived terms
Related terms
- elliptical
- elliptically
Translations
elliptic From the web:
- what elliptical should i buy
- what elliptical does planet fitness use
- what elliptical to buy
- what elliptical machine is good for
- what elliptical does la fitness use
- what elliptical mean
- what ellipticals are used in gyms
- what elliptical does lifetime fitness use
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:
- what ellipsoid does wgs84 use
- what's ellipsoid joint
- what ellipsoid means
- what is ellipsoidal height
- what does ellipsoidal mean
- what is ellipsoid shape
- what is ellipsoid in gis
- what is ellipsoid in geodesy
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