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  • Ellipsoid - Wikipedia
    The general ellipsoid, also known as triaxial ellipsoid, is a quadratic surface which is defined in Cartesian coordinates as: + + =, where , and are the length of the semi-axes The points (,,), (,,) and (,,) lie on the surface The line segments from the origin to these points are called the principal semi-axes of the ellipsoid, because a, b, c are half the length of the principal axes
  • Ellipsoid -- from Wolfram MathWorld
    Tietze (1965, p 28) calls the general ellipsoid with a "triaxial ellipsoid " If the lengths of two axes of an ellipsoid are the same, the figure is called an ellipsoid of revolution or spheroid Denote the equal semi-axes lengths of a spheroid, call the equatorial radius, and call the other semi-axis length the polar radius Then if , the spheroid is called an oblate spheroid, and if , the
  • Ellipsoid - Math. net
    Ellipsoid An ellipsoid is a 3D geometric figure that has an elliptical shape It can be viewed as a stretched sphere An ellipsoid gets its name from an ellipse Any plane that cuts through an ellipsoid forms an ellipse
  • Ellipsoid | Surfaces, Axes, Foci | Britannica
    ellipsoid, closed surface of which all plane cross sections are either ellipses or circles An ellipsoid is symmetrical about three mutually perpendicular axes that intersect at the centre If a, b, and c are the principal semiaxes, the general equation of such an ellipsoid is x 2 a 2 + y 2 b 2 + z 2 c 2 = 1 A special case arises when a = b = c: then the surface is a sphere, and the
  • Earth ellipsoid - Wikipedia
    An Earth ellipsoid or Earth spheroid is a mathematical figure approximating the Earth's form, used as a reference frame for computations in geodesy, astronomy, and the geosciences Various different ellipsoids have been used as approximations It is a spheroid (an ellipsoid of revolution) whose minor axis (shorter diameter), which connects the geographical North Pole and South Pole, is
  • Ellipsoïde — Wikipédia
    Ellipsoïde avec (a, b, c) = (4, 2, 1) En mathématiques, et plus précisément en géométrie euclidienne, un ellipsoïde est une surface du second degré de l'espace euclidien à trois dimensions Il fait donc partie des quadriques, avec pour caractéristique principale de ne pas posséder de point à l'infini L'ellipsoïde admet un centre et au moins trois plans de symétrie
  • Ellipsoid - Encyclopedia of Mathematics
    [Be] M Berger, "Geometry", II, Springer (1987) MR0882916 Zbl 0606 51001 [Co] J Coolidge, "A history of the conic sections and quadric surfaces", Dover, reprint (1968) MR0245397 Zbl 0060 01006 [Pe] C M Petty, "Ellipsoids" P M Gruber (ed ) J M Wills (ed ), Convexity and its applications, Birkhäuser (1983) pp 264–276 MR0731103 Zbl 0512 00020
  • Ellipsoid: Definitions and Examples - Club Z! Tutoring
    The shape of a planet or moon can be approximated by an ellipsoid FAQ Section: Q: What is the difference between an ellipsoid and a sphere? A: A sphere is a special case of an ellipsoid, where all three semi-axes are equal
  • Ellipsoid - definition of ellipsoid by The Free Dictionary
    ellipsoid The equation for an ellipsoid is x2 a2 + y2 b2 + z2 c2 = 1 el·lip·soid (ĭ-lĭp′soid′) n A geometric surface, all of whose plane sections are either ellipses or circles el·lip′soid′, el·lip′soi′dal (ĭ-lĭp′soid′l, ĕl′ĭp-, ē′lĭp-) adj American Heritage® Dictionary of the English Language, Fifth Edition
  • ELLIPSOID Definition Meaning - Merriam-Webster
    The meaning of ELLIPSOID is a surface all plane sections of which are ellipses or circles





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