# hyperbola

[ hahy-pur-buh-luh ]

/ haɪˈpɜr bə lə /

### noun Geometry.

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 distinct and similar 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.

## Nearby words

## Origin of hyperbola

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

## Examples from the Web for hyperbola

## British Dictionary definitions for hyperbola

## hyperbola

/ (haɪˈpɜːbələ) /

### noun plural -las or -le (-ˌliː)

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

## Word Origin for hyperbola

C17: from Greek huperbolē, literally: excess, extravagance, from hyper- + ballein to throw

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Science definitions for hyperbola

## hyperbola

[ hī-pûr′bə-lə ]

### Plural hyperbolas hyperbolae (hī-pûr′bə-lē)

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® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## Culture definitions for hyperbola

## hyperbola

[ (heye-pur-buh-luh) ]

In geometry, a curve having a single bend, with lines going infinitely far from the bend.

## Note

The path of a comet that enters the solar system and then leaves forever is a hyperbolic curve (half of a hyperbola).

The New Dictionary of Cultural Literacy, Third Edition
Copyright © 2005 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.