paraboloid

3 definitions found

paraboloid - Collaborative International Dictionary of English v.0.48 :

  Paraboloid \Pa*rab"o*loid\ (-loid), n. [Parabola + -oid: cf. F.
     parabolo["i]de.] (Geom.)
     The solid generated by the rotation of a parabola about its
     axis; any surface of the second order whose sections by
     planes parallel to a given line are parabolas.
     [1913 Webster]
  
     Note: The term paraboloid has sometimes been applied also to
           the parabolas of the higher orders. --Hutton.
           [1913 Webster]

  Conoid \Co"noid\ (k[=o]"noid), n. [Gr. kwnoeidh`s conical;
     kw^nos cone + e'i^dos form: cf. F. cono["i]de.]
     1. Anything that has a form resembling that of a cone.
        [1913 Webster]
  
     2. (Geom.)
        (a) A solid formed by the revolution of a conic section
            about its axis; as, a parabolic conoid, elliptic
            conoid, etc.; -- more commonly called paraboloid,
            ellipsoid, etc.
        (b) A surface which may be generated by a straight line
            moving in such a manner as always to meet a given
            straight line and a given curve, and continue parallel
            to a given plane. --Math. Dict.
            [1913 Webster]

paraboloid - WordNet (r) 2.1 (2005) :

  paraboloid
      n 1: a surface having parabolic sections parallel to a single
           coordinate axis and elliptic sections perpendicular to that
           axis