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# hyperbola

[hahy-pur-buh-luh]
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noun Geometry.
1. 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 2y 2/b 2 = ±1.

## Origin of .css-1fxfie5{font-size:22px;}@media (max-width:768px){.css-1fxfie5{font-size:18px;margin:0 10px 10px 0;word-break:break-all;word-wrap:break-word;-webkit-hyphens:auto;-moz-hyphens:auto;-ms-hyphens:auto;hyphens:auto;line-height:22px;}}hyperbola

1660–70; < New Latin < Greek hyperbolḗ the geometrical term, literally, excess. See hyperbole
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## Examples from the Web for hyperbola

### Historical Examples

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

An Enquiry Concerning Human Understanding

David Hume

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

British Dictionary definitions for hyperbola

# hyperbola

noun plural -las or -le (-ˌliː)
1. 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

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

## Word Origin and History forhyperbola

### n.

1660s, from Latinized form of Greek hyperbole "extravagance," literally "a throwing beyond" (see hyperbole). Perhaps so called because the inclination of the plane to the base of the cone exceeds that of the side of the cone.

Online Etymology Dictionary, © 2010 Douglas Harper

hyperbola in Science

# hyperbola

[hī-pûrbə-lə]
Plural hyperbolas hyperbolae (hī-pûrbə-lē)
1. 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.

hyperbola in Culture

# hyperbola

[(heye-pur-buh-luh)]

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