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 asumpt&omacron;tos, not intersecting : a-, not; see a–1 + sumpt&omacron;tos, intersecting (from sumpiptein, sumpt&omacron;-, 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”).