asymptote

[ as-im-toht ]

/ ˈæs ɪmˌtoʊt /

noun Mathematics.

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

Origin of asymptote

1650–60; <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)

Words nearby asymptote

asymmetric bars, asymmetric time, asymmetric warfare, asymmetry, asymptomatic, asymptote, asymptotic, asymptotic freedom, asynapsis, asynchronism, asynchronous

Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020

Example sentences from the Web for asymptote

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
If these factors are all real and distinct, there is an asymptote corresponding to each factor.
Encyclopaedia Britannica, 11th Edition, Volume 14, Slice 5|Various
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 Sciences|Edward Hitchcock
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.
Encyclopaedia Britannica, 11th Edition, Volume 10, Slice 5|Various

British Dictionary definitions for asymptote

asymptote

/ (ˈæsɪmˌtəʊt) /

noun

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 for asymptote

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

Scientific definitions for asymptote

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.

单词	asymptote
释义	asymptote [ as-im-toht ] / ˈæs ɪmˌtoʊt / noun Mathematics. a straight line approached by a given curve as one of the variables in the equation of the curve approaches infinity. Origin of asymptote 1650–60; <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) Words nearby asymptote asymmetric bars, asymmetric time, asymmetric warfare, asymmetry, asymptomatic, asymptote, asymptotic, asymptotic freedom, asynapsis, asynchronism, asynchronous Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020 Example sentences from the Web for asymptote 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 If these factors are all real and distinct, there is an asymptote corresponding to each factor. Encyclopaedia Britannica, 11th Edition, Volume 14, Slice 5\|Various 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 Sciences\|Edward Hitchcock 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. Encyclopaedia Britannica, 11th Edition, Volume 10, Slice 5\|Various British Dictionary definitions for asymptote asymptote / (ˈæsɪmˌtəʊt) / noun 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 for asymptote 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 Scientific definitions for asymptote 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. The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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