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# asymptote

[as-im-toht]
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noun Mathematics.
1. a straight line approached by a given curve as one of the variables in the equation of the curve approaches infinity.

## 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;}}asymptote

1650–60; < Greek asýmptōtos, equivalent to a- a-6 + sýmptōtos falling together (sym- sym- + ptōtós falling, derivative of ptō-, variant stem of píptein to fall + -tos verbid suffix)
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.

Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 7

Various

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

Theodicy

G. W. Leibniz

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

British Dictionary definitions for asymptote

# asymptote

noun
1. 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

## 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 forasymptote

### 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.