Ravna linija kojoj se približava neka kriva, tako da međusobno odstojanje teži prema nuli.
Prava koja u odnosu prema jednoj krivi leži tako da se njih dve ako se produžuju sve više približuju jedna drugoj, ali se nikad ne dodiruju, npr. hirperbola ima dve asimptote (simbol beskrajne čovečje težnje koja nikad ne postiže svoj cilj; Lajbnic je nazvao čoveka "asimptotom božanstva".
asymptote / æsɪmptoʊt /
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.