If a plane curveMathworldPlanetmath γ has a continuing infinitely far from the origin O, then γ may have an asymptoteMathworldPlanetmath:  The direct line l is an asymptote of γ, if


where d(P,O) means the of the point P of the from the origin and d(P,l) the of P from the line l.

Examples:  The hyperbolaMathworldPlanetmathPlanetmathx2a2-y2b2=1  has the asymptotes  y=±bax;  the curve   y=sinxx  the asymptote  y=0.

Title asymptote
Canonical name Asymptote
Date of creation 2013-03-22 14:32:59
Last modified on 2013-03-22 14:32:59
Owner pahio (2872)
Last modified by pahio (2872)
Numerical id 12
Author pahio (2872)
Entry type Definition
Classification msc 51N99
Related topic SincFunction
Related topic FamousCurvesInThePlane