Origin of asymptoteModern Latin asymptota from Classical Greek asympt?tos from a-, not + sympt?tos, self-intersecting from syn-, together + piptein, to fall: see feather
Origin of asymptoteUltimately 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 as′ymp·tot′i·cal
The x-axis and y-axis are asymptotes of the hyperbola xy = 3.
(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.
From Apollonius Pergaeus's Ancient Greek term ἀσύμπτωτος (asúmptōtos, “not falling together”), from ἀ (a, “not”) + σύν (sun, “together”) + πτωτός (ptōtos, “fallen”).