a line which draws near nearer for some curve than assignable length but though infinitely extended would not fulfill it Asymptotes might right lines or curves A rectilinear asymptote are conceived as a tangent toward bend at a countless distance
- a straight line that's the restricting value of a curve; can be viewed as tangent at infinity
- a range which draws near nearer for some curve than assignable distance, but, though infinitely extended, would never satisfy it. Asymptotes may be right lines or curves. A rectilinear asymptote might conceived as a tangent to your curve at a countless distance.
"straight line constantly approaching but never meeting a curve," 1650s, from Greek asymptotos "not falling together," from a- "not" + syn "with" + ptotos "fallen," spoken adjective from piptein "to-fall" (see symptom). Relevant: Asymptotic.
(letter.) A line which approaches nearer for some curve than assignable distance, but, though infinitely extended, would not meet it. Asymptotes are right lines or curves. A rectilinear asymptote could be conceived as a tangent to the bend at an infinite distance.
Names may also be used for the different forms of infinite branches, but we have first to consider the distinction of hyperbolic and parabolic. The leg of an infinite branch may have at the extremity a tangent; this is an asymptote of the curve, and the leg is then hyperbolic; or the leg may tend to a fixed direction, but so that the tangent goes further and further off to infinity, and the leg is then parabolic; a branch may thus be hyperbolic or parabolic as to its two legs; or it may be hyperbolic as to one leg and parabolic as to the other.