as·ymp·tote | \ˈa-səm(p)-ˌtōt \

Definition of asymptote 

: a straight line associated with a curve such that as a point moves along an infinite branch of the curve the distance from the point to the line approaches zero and the slope of the curve at the point approaches the slope of the line

Illustration of asymptote

Illustration of asymptote

asymptotes to the hyperbola

Other Words from asymptote

asymptotic \ˌa-səm(p)-ˈtä-tik \ adjective
asymptotically \-ti-k(ə-)lē \ adverb

First Known Use of asymptote

1656, in the meaning defined above

History and Etymology for asymptote

probably from New Latin *asymptotus, from Greek asymptōtos not meeting, from a- + sympiptein to meet — more at symptom

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The first known use of asymptote was in 1656

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