# hyperbola

Also found in: Thesaurus, Encyclopedia, Wikipedia.

## hyperbola

a plane curve having two branches

**Not to be confused with:**

hyperbole – an exaggeration used as a figure of speech: That dog’s so ugly its face could stop a clock.

Abused, Confused, & Misused Words by Mary Embree Copyright © 2007, 2013 by Mary Embree

## hy·per·bo·la

(hī-pûr′bə-lə)*n.*

*pl.*

**hy·per·bo·las**or

**hy·per·bo·lae**(-lē)

A plane curve having two branches, formed by the intersection of a plane with both halves of a right circular cone at an angle parallel to the axis of the cone. It is the locus of points for which the difference of the distances from two given points is a constant.

[New Latin, from Greek huperbolē,

*a throwing beyond, excess (from the relationship between the line joining the vertices of a conic and the line through its focus and parallel to its directrix)*; see**hyperbole**.]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.

## hyperbola

(haɪˈpɜːbələ)*n*,

*pl*

**-las**

*or*

**-le**(-ˌliː)

(Mathematics) a conic section formed by a plane that cuts both bases of a cone; it consists of two branches asymptotic to two intersecting fixed lines and has two foci. Standard equation:

*x*^{2}/*a*^{2}–*y*^{2}/*b*^{2}= 1 where 2*a*is the distance between the two intersections with the*x*-axis and*b*=*a*√(*e*^{2}– 1), where*e*is the eccentricity[C17: from Greek

*huperbolē,*literally: excess, extravagance, from hyper- +*ballein*to throw]Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## hy•per•bo•la

art at hyperfunction

(haɪˈpɜr bə lə) *n.,*

*pl.*

**-las.**

the set of points in a plane whose distances to two fixed points in the plane have a constant difference; a curve consisting of two branches, formed by the intersection of a plane with a right circular cone when the plane makes a greater angle with the base than does the generator of the cone.

*Equation: x*^{2}*/a*^{2}−*y*^{2}*/b*^{2}=±1. See also diag. at conic section.[1660–70; < New Latin < Greek

*hyperbolḗ*literally, excess]Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

## hy·per·bo·la

(hī-pûr′bə-lə) A plane curve having two separate parts or branches, formed when two cones that point toward one another are intersected by a plane that is parallel to the axes of the cones.

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

**Legend:**Switch to new thesaurus

Noun | 1. | hyperbola - an open curve formed by a plane that cuts the base of a right circular coneconic, conic section - (geometry) a curve generated by the intersection of a plane and a circular cone |

Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

Translations

**хипербола**

**hyperbola**

**hyperbeli**

**hiperbola**

**hyperbel**

Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

## hyperbola

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

Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

Link to this page: