EXAMPLES | WORD ORIGIN 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;
a- a- 6
falling together (
falling, derivative of
variant stem of
to fall +
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
Examples from the Web for asymptote Historical Examples of asymptote
The curve is symmetrical about the axis of y and has the axis of x for its
But after you have demonstrated to him the properties of the hyperbola and its
asymptote, the apparent absurdity vanishes.
Even so there are
asymptote figures in geometry where an infinite length makes only a finite progress in breadth.
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 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
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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
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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