asymptote
UK /ˈæsɪmptəʊ̯t/ · US /ˈæsɪmptoʊ̯t/ noun, verb
Forms asymptotes asymptoting asymptoted
- noun (mathematical analysis) A straight line which a curve approaches arbitrarily closely as it goes to infinity. The limit of the curve; its tangent "at infinity".
- noun (by extension, figuratively) Anything which comes near to but never meets something else.
- verb (mathematical analysis) To approach, but never quite touch, a straight line, as something goes to infinity.
Etymology
circa 1650, from Ancient Greek ἀσύμπτωτη (asúmptōtē), the feminine of Apollonius Pergaeus' (circa 200 BC) Ancient Greek adjective ἀσύμπτωτος (asúmptōtos, “not falling together”), from ἀ- (a-, “not”) + συν- (sun-, “together”) + πτωτός (ptōtós, “fallen”). See also a-, syn-, -ote.
Webster’s 1913
- noun A line which approaches nearer to some curve than assignable distance, but, though infinitely extended, would never meet it. Asymptotes may be straight lines or curves. A rectilinear asymptote may be conceived as a tangent to the curve at an infinite distance.
Etymology [Gr. Symptom.]
Sources: Wiktionary · Webster’s 1913 — from the Wiktionary entry “asymptote”, CC BY-SA 4.0. Details