# conic section

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## 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 WordsSynonyms

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Noun | 1. | conic section - (geometry) a curve generated by the intersection of a plane and a circular conegeometry - 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

Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

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