Množina: asymptotes

ETYM Greek, not falling together; a priv. + pipein to fall together; a + syn with + piptein to fall. Related to Symptom.
A straight line that is the limiting value of a curve; can be considered as tangent at infinity.
A line that is considered to be the limit to a curve. As the curve approaches the asymptote, the distance separating the curve and the asymptote continues to decrease, but the curve never actually intersects the asymptote.
Line approaching a curve but meeting it only at infinity.
In coordinate geometry, a straight line that a curve approaches more and more closely but never reaches. The x and y axes are asymptotes to the graph of xy = constant (a rectangular hyperbola).
If a point on a curve approaches a straight line such that its distance from the straight line is d, then the line is an asymptote to the curve if limit d tends to zero as the point moves toward infinity. Among conic sections (curves obtained by the intersection of a plane and a double cone), a hyperbola has two asymptotes, which in the case of a rectangular hyperbola are at right angles to each other.

Singular of asymptotes is asymptote.