# hyperbola

[hahy-pur-buh-luh]

### 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.

## Origin of hyperbola

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

## Related Words for hyperbola

trajectory, arc, arch, contour, loop, swerve, sweep, hairpin, crook, bend, whorl, ambit, concavity, circle, quirk, curvature, festoon, bight, compass, circumference## Examples from the Web for hyperbola

### Historical Examples of hyperbola

An oval is never mistaken for a circle, nor an hyperbola for an ellipsis.

If the cone is cut off vertically on the dotted line, A, the curve is a hyperbola.

Carpentry for BoysJ. S. Zerbe

I said, "if my orbit is a hyperbola, I shall never return to earth."

Christmas Eve and Christmas DayEdward E. Hale

The curve is in this case called an Hyperbola (see fig. 20).

In the hyperbola we have the mathematical demonstration of the error of an axiom.

Fables of Infidelity and Facts of FaithRobert Patterson

## hyperbola

### noun plural -las or -le (-ˌliː)

## 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

Online Etymology Dictionary, © 2010 Douglas Harper

## hyperbola

[hī-pûr′bə-lə]

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

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

## hyperbola

[(heye-pur-buh-luh)]

## 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.