Adjacent Words

Paraboloid definitions

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Webster's 1828 Dictionary

PARAB'OLOID, n. [Gr. form.] In geometry, a paraboliform curve whose ordinates are supposed to be in the subtriplicate, subquadruplicate, etc., ratio of their respective abscissae. Another species is when the parameter multiplied into the square of the abscissae, is equal to the cube of the ordinate. The curve is then called a semi-cubical paraboloid.
A parabolic conoid. [See conoid.]

WordNet (r) 3.0 (2005)

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

Merriam Webster's

noun Date: circa 1702 a surface all of whose intersections by planes are either parabolas and ellipses or parabolas and hyperbolas • paraboloidal adjective

Oxford Reference Dictionary

n. 1 (in full paraboloid of revolution) a solid generated by the rotation of a parabola about its axis of symmetry. 2 a solid having two or more non-parallel parabolic cross-sections. Derivatives: paraboloidal adj.

Webster's 1913 Dictionary

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. Note: The term paraboloid has sometimes been applied also to the parabolas of the higher orders. --Hutton.

Webster's 1913 Dictionary

Conoid Co"noid, n. [Gr. ? conical; ? cone + ? from: cf. F. cono["i]de.] 1. Anything that has a form resembling that of a cone. 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.