conic section


Also found in: Thesaurus, Medical, Encyclopedia, Wikipedia.

conic section

n.
1. The intersection of a right circular cone and a plane, which generates one of a group of plane curves, including the circle, ellipse, hyperbola, and parabola.
2. A graph of the general quadratic equation in two variables.
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.

conic section

n
(Mathematics) one of a group of curves formed by the intersection of a plane and a right circular cone. It is either a circle, ellipse, parabola, or hyperbola, depending on the eccentricity, e, which is constant for a particular curve e = 0 for a circle; e<1 for an ellipse; e = 1 for a parabola; e>1 for a hyperbola. Often shortened to: conic
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

con′ic sec′tion


n.
a curve formed by the intersection of a plane with a right circular cone; an ellipse, a circle, a parabola, or a hyperbola. Also called conic.
[1655–65]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

conic section

A curve formed by the intersection of a plane with a cone. Conic sections can appear as circles, ellipses, hyperbolas, or parabolas, depending on the angle of the intersecting plane relative to the cone's base.
The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.conic section - (geometry) a curve generated by the intersection of a plane and a circular coneconic section - (geometry) a curve generated by the intersection of a plane and a circular cone
geometry - the pure mathematics of points and lines and curves and surfaces
plane figure, two-dimensional figure - a two-dimensional shape
ellipse, oval - a closed plane curve resulting from the intersection of a circular cone and a plane cutting completely through it; "the sums of the distances from the foci to any point on an ellipse is constant"
parabola - a plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve
hyperbola - an open curve formed by a plane that cuts the base of a right circular cone
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations

conic section

n (Math) → Kegelschnitt m
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007
References in periodicals archive ?
Unless indicated by the adjective "degenerate," a conic section is meant to be nondegenerate.
Pressure value at rod head section was computed as 3070 MPa from conic section calculations in Eq.
To deal with hidden trouble in security, we propose a privacy protection strategy based on the conic section to protect real data.
Right-angle prismatic elements are placed on two (out of eight) northern surface portions of the bottom conic section of collector (triangular prism grooves are perpendicular to the circumference).
Set of the Centers of Inscribed in a Quadrangle Conic Section, Mathematics plus, 4 (2010), 24-30 (in Bulgarian).
Consequently, the orbit is a precesing conic section with eccentricity and hence semi-major axis given by
(Otto, 1989) The mixing pipe has two sections: the conic section and the cylindrical one.
Less easy to defend has been the teaching of the parabola as an example of a conic section, and sadly, a study of conics has often been a casualty to the constant erosion of our curriculum time.
7 Conic sections cannot be plotted directly with many dynamic geometry software packages, and a conic section only appears as the locus of some point.
From (2) it follows that E = 0 and the eccentricity of the conic section is found to be (see Appendix 9)
According to Google, Khayyam's "Treatise on Demonstration of Problems of Algebra (1070) remains an essential text, introducing the concept of binomial expansion & using conic sections to solve cubic & quadratic equations."
As a mathematician, Al Khayam authored "Treatise on Demonstration of Problems of Algebra" where "he gave a systematic discussion of the solution of cubic equations by means of intersecting conic sections," according to Britannica.