# asymptote

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## as·ymp·tote

(ăs′ĭm-tōt′, -ĭmp-)*n.*

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

[Ultimately from Greek asumptōtos,

*not intersecting*: a-,*not*; see**a-**^{1}+ sumptōtos,*intersecting*(from sumpiptein, sumptō-,*to converge*: sun-,*syn-*+ piptein,*to fall*; see pet- in Indo-European roots).]**as′ymp·tot′ic**(-tŏt′ĭk),

**as′ymp·tot′i·cal**

*adj.*

**as′ymp·tot′i·cal·ly**

*adv.*

## asymptote

(ˈæsɪmˌtəʊt)*n*

(Mathematics) 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

[C17: from Greek

*asumptōtos*not falling together, from a-^{1}+ syn- +*ptōtos*inclined to fall, from*piptein*to fall]## as•ymp•tote

(ˈæs ɪmˌtoʊt)*n.*

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

**asymptote**

left: The x- and y-axes are both asymptotes of the curve (a hyperbola).

right: The x-axis is the asymptote of the wave.

## as·ymp·tote

(ăs′ĭm-tōt′) A line whose distance to a given curve tends to zero. An asymptote may or may not intersect its associated curve.

ThesaurusAntonymsRelated WordsSynonyms

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Noun | 1. | asymptote - a straight line that is the limiting value of a curve; can be considered as tangent at infinity; "the asymptote of the curve"straight line - a line traced by a point traveling in a constant direction; a line of zero curvature; "the shortest distance between two points is a straight line" |

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