# asymptote

[as-im-toht]

- a straight line approached by a given curve as one of the variables in the equation of the curve approaches infinity.

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## Origin of asymptote^{}

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## Examples from the Web for asymptote

### Historical Examples

#### The curve is symmetrical about the axis of y and has the axis of x for its asymptote.

#### But after you have demonstrated to him the properties of the hyperbola and its asymptote, the apparent absurdity vanishes.

The Religion of Geology and Its Connected SciencesEdward Hitchcock

#### Even so there are asymptote figures in geometry where an infinite length makes only a finite progress in breadth.

TheodicyG. W. Leibniz

#### If these factors are all real and distinct, there is an asymptote corresponding to each factor.

#### The area of the loop, which equals the area between the curve and its asymptote, is 3a/2.

## asymptote

- a straight line that is closely approached by a plane curve so that the perpendicular distance between them decreases to zero as the distance from the origin increases to infinity

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## Word Origin

C17: from Greek asumptōtos not falling together, from a- 1 + syn- + ptōtos inclined to fall, from piptein to fall

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 for asymptote

### n.

"straight line continually approaching but never meeting a curve," 1650s, from Greek asymptotos "not falling together," from a- "not" + syn "with" + ptotos "fallen," verbal adjective from piptein "to fall" (see symptom). Related: Asymptotic.

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Online Etymology Dictionary, © 2010 Douglas Harper

## asymptote

[ăs′ĭm-tōt′]

- A line whose distance to a given curve tends to zero. An asymptote may or may not intersect its associated curve.

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