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 the Appendix of Indo-European roots).] as′ymp·totic (-tŏtĭk), as′ymp·toti·cal adj. as′ymp·toti·cal·ly adv. (click for a larger image) asymptoteThe x-axis and y-axis are asymptotes of the hyperbola xy = 3. |
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