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# asymptote

[as-im-toht] /ˈæs ɪmˌtoʊt/
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 asymptote
1650-1660
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 Dictionary, © Random House, Inc. 2016.
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Examples from the Web for asymptote
Historical Examples
• But after you have demonstrated to him the properties of the hyperbola and its asymptote, the apparent absurdity vanishes.

Edward Hitchcock
• asymptote, a line always approaching some curve but never meeting it.

Edited by Rev. James Wood
• The curve is symmetrical about the axis of y and has the axis of x for its asymptote.

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

G. 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.

British Dictionary definitions for asymptote

## asymptote

/ˈæsɪmˌtəʊt/
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
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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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.

Online Etymology Dictionary, © 2010 Douglas Harper
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asymptote in Science
 asymptote   (ās'ĭm-tōt')    A line whose distance to a given curve tends to zero. An asymptote may or may not intersect its associated curve.
The American Heritage® Science Dictionary
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### Difficulty index for asymptote

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### Word Value for asymptote

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17
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