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Webster 1913 Edition

Paraboloid

Pa-rab′o-loid

(-loid)
,
Noun.
[
Parabola
+
-oid
: cf. F.
paraboloïde
.]
(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.
☞ The term paraboloid has sometimes been applied also to the parabolas of the higher orders.
Hutton.

Webster 1828 Edition

Paraboloid

PARAB'OLOID

,
Noun.
[Gr. form.] In geometry, a paraboliform curve whose ordinates are supposed to be in the subtriplicate, subquadruplicate, &c., 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.]

Definition 2024

paraboloid

paraboloid

English

Noun

paraboloid ‎(plural paraboloids)

  1. (mathematics) A surface having a parabolic cross section parallel to an axis, and circular or elliptical cross section perpendicular to the axis; especially the surface of revolution of a parabola.

Derived terms

Translations

Swedish

Noun

paraboloid c

  1. (mathematics) paraboloid

Declension

Inflection of paraboloid 
Singular Plural
Indefinite Definite Indefinite Definite
Nominative paraboloid paraboloiden paraboloider paraboloiderna
Genitive paraboloids paraboloidens paraboloiders paraboloidernas

See also

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