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.
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.