length of a curve

length of a curve

[′leŋkth əv ə ′kərv]
(mathematics)
A curve represented by x = x (t), y = y (t) for t1tt2, with x (t1) = x1, x (t2) = x2, y (t1) = y1, y (t2) = y2, has length from (x1, y1) to (x2, y2) given by the integral from t1 to t2 of the function √((dx / dt)2+ (dy / dt)2).