In the present paper it is shown that the analytic methods of the author’s earlier paper yield properties of the type presented by Redheffer;an amended form is given for the final conclusion of Redheffer’s Theorem XII, which is in error. In addition, certain results of the present paper are cast in a form to establish the existence of solutions, rather than to postulate their existence as in the earlier treatments of the author and Redheffer. In particular, the improved result corresponding to Theorem 4.1 of the author’s earlier paper involves a extension of a quadratic form problem considered a number of years ago by the anther and several other writers.
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