Interest in sail design has recently stimulated some work, using thin aerofoil theory, to obtain the velocity distribution on simple polynomial mean lines. In particular in reference 1, a solution has been obtained for a cubic mean line. There is an omission in equation (3) of this reference where an x should appear in the numerator outside the curly bracket. (The equation is subsequently used in its correct form).In the present note a general solution is obtained for polynomial mean lines. It is demonstrated by applying the result to Boyd's equation (3).