The method of interior parallels applied to polygonal or multiply connected membranes

1.1. The scope of this paper is (a) to discuss the possibilities of the method of interior parallels (Maka, Plya, Payne-Weinberger) by considering the case of polygonal membranes ( 2); (b) to extend it to multiply connected domains in a more satisfactory manner than has hitherto been proposed ( 3); to this end we use a result of H. F. Weinberger