ellipsoid

noun, adj — 5 senses

ellipsoid

noun

UK /ɪˈlɪp.sɔɪd/ · US /ɪˈlɪp.sɔɪd/

Etymology From ellipse + -oid.

1

Geometry, Mathematics, Sciences 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.

  • Polarizability can be imagined as a three-dimensional ellipsoid centred on the centre of the molecule, as shown in Figure 10.4.2002, John Michael Hollas, Basic Atomic and Molecular Spectroscopy, page 133:
  • 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.2004, Alfred Leick, GPS Satellite Surveying, 3rd edition, page 367:
1 more example
  • As mentioned before, modern geodetic datums rely on the surfaces of geocentric ellipsoids to approximate the surface of the earth.2010, Jan Van Sickle, Basic GIS Coordinates, 2nd edition, page 73:
2

Geography, Natural sciences Such a surface used as a model of the shape of the earth.

  • Here the geoid is thirty meters below the ellipsoid.
Derived terms
Bessel ellipsoid, ellipsoid geodesic, ellipsoid method, ellipsoid of revolution, ellipsoid packing, Hayford ellipsoid, hemiellipsoid, hyperellipsoid, Jacobi ellipsoid, scalene ellipsoid, triaxial ellipsoid
Related terms
ellipsoidal, subellipsoid, geoid
Hypernyms
quadric surface, quadric

ellipsoid

adj

Etymology From ellipse + -oid.

1

Shaped like an ellipse; elliptical.

2

Mathematics, Sciences Of or pertaining to an ellipse; elliptic.

3

Biology, Botany, Natural sciences Having the tridimensional shape of an ellipse rotated on its long axis.

Related terms
ellipsoidal, globoid, ovoid, globose, oblong

Entry derived from the Wiktionary, under licence CC BY-SA 4.0 — list of authors.