asymptote
as·ymp·toteMath. a straight line always approaching but never meeting a curve; tangent to a curve at infinity
Origin of asymptote
Modern Latin asymptota from Classical Greek asympt?tos from a-, not + sympt?tos, self-intersecting from syn-, together + piptein, to fall: see featherasymptote
noun
A line whose distance to a given curve tends to zero. An asymptote may or may not intersect its associated curve.
Origin of asymptote
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.)Related Forms:
- as′ymp·tot′ic as′ymp·tot′i·cal
adjective
- as′ymp·tot′i·cal·ly
adverb
asymptote
The x-axis and y-axis are asymptotes of the hyperbola xy = 3.
asymptote
Noun
(plural asymptotes)
Verb
(third-person singular simple present asymptotes, present participle asymptoting, simple past and past participle asymptoted)
- (analysis) To approach, but never quite touch, a straight line, as something goes to infinity.
Origin
From Apollonius Pergaeus's Ancient Greek term ἀσύμπτωτος (asúmptōtos, “not falling together”), from ἀ (a, “not”) + σύν (sun, “together”) + πτωτός (ptōtos, “fallen”).