Abstract : The obstacle which prevented the determination of exact lifting surface solutions was the singularity at the wing tip. This problem has now been solved analytically for the circular wing and thereby, to an extent, for wings with parabolic wing tips in general. The paper reports the analytical results. It describes how numerical solutions for the circular wing can conveniently be calculated if only engineering accuracy is required. Four linearly independent solutions have been determined to very high accuracy and are listed in tables; the tables are short since it is possible to split off the singularity. The samples confirm some expected and provide some unexpected insights into the mechanism of lifting flow.