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Webster 1913 Edition


Asymptote

As′ymp-tote

(?; 215)
,
Noun.
[Gr. [GREEK] not falling together;
ἀ
priv. + [GREEK] to fall together; [GREEK] with + [GREEK] to fall. Cf.
Symptom
.]
(Math.)
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.

Webster 1828 Edition


Asymptote

AS'YMPTOTE

,
Noun.
[Gr. priv. with, and to fall; not meeting or coinciding.]
A line which approaches nearer and nearer to some curve, but though infinitely extended, would never meet it. This may be conceived as a tangent to a curve at an infinite distance.