paraboloid

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paraboloid
The equation for
a circular paraboloid is
x2/a2
+
y2/b2
= z.

pa·rab·o·loid

 (pə-răb′ə-loid′)
n.
A surface having parabolic sections parallel to a single coordinate axis and elliptic or circular sections perpendicular to that axis.

pa·rab′o·loi′dal (-loid′l) adj.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

paraboloid

(pəˈræbəˌlɔɪd)
n
(Mathematics) a geometric surface whose sections parallel to two coordinate planes are parabolic and whose sections parallel to the third plane are either elliptical or hyperbolic. Equations x2/a2 ± y2/b2 = 2cz
paˌraboˈloidal adj
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

pa•rab•o•loid

(pəˈræb əˌlɔɪd)

n.
a surface that can be put into a position such that its sections parallel to at least one coordinate plane are parabolas.
[1650–60]
pa•rab`o•loi′dal, adj.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.paraboloid - a surface having parabolic sections parallel to a single coordinate axis and elliptic sections perpendicular to that axisparaboloid - a surface having parabolic sections parallel to a single coordinate axis and elliptic sections perpendicular to that axis
plane figure, two-dimensional figure - a two-dimensional shape
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References in periodicals archive ?
Analytical approaches for determination of the centres of resistance and/or rotation as well as for assessment of the stress-strain state of the PDL with the initial displacements of the tooth root in the shape of a cone, circular and elliptic paraboloid were presented in the literature [8,18, 21,26].
The quadric surface we discuss in this paper will be an ellipsoid, an elliptic paraboloid, a hyperboloid of two sheets or a cone; however, we will leave it to reader to explore the case when quadric surface is a cone.
Elliptic Paraboloids. -- Consider a concave mirror of elliptic paraboloid shape.