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asymptote

UK:^*^*UK and possibly other pronunciationsUK and possibly other pronunciations/ˈæsɪmˌtəʊt/US:USA pronunciation: respellingUSA pronunciation: respelling(as′im tōt′)

as•ymp•tote (as′im tōt′),USA pronunciation n. [Math.]

Mathematicsa straight line approached by a given curve as one of the variables in the equation of the curve approaches infinity.

Greek asýmptōtos, equivalent. to a- a-⁶ + sýmptōtos falling together (sym- sym- + ptōtós falling, derivative of ptō-, variant stem of píptein to fall + -tos verbid suffix)
1650–60

Collins Concise English Dictionary © HarperCollins Publishers::

asymptote /ˈæsɪmˌtəʊt/ n

a straight line that is closely approached by a plane curve so that the perpendicular distance between them decreases to zero as the distance from the origin increases to infinity

Etymology: 17th Century: from Greek asumptōtos not falling together, from a-¹ + syn- + ptōtos inclined to fall, from piptein to fall

'asymptote' also found in these entries (note: many are not synonyms or translations):

asymptotic - conchoid - pseudosphere

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⇱ asymptote - WordReference.com Dictionary of English

asymptote