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Definition of asymptote:

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.

Synonyms:

Usage examples:

The poor gentleman might just as well have tried to understand the character of an asymptote, or to win the confidence of a Will- o'- the- wisp; and nothing but misery can come of it when a middle- aged city merchant, born without even a rudimentary sense of humour, suddenly determines to cultivate that gift for the benefit of a boy who can detect humour in the wording of an invoice.

- "Audrey Craven", May Sinclair.
Then produce your asymptote!

- "All Around the Moon", Jules Verne.