On the Extension of Brouncker's Method to the Comparison of several Magnitudes

Extract

In the paper on this subject, printed in the twenty-sixth volume of the Society's Transactions, the general principles only of this extension were explained; since then the subject has lain aside. An accident has drawn attention to the use of this method for determining cube-roots, and particularly in regard to the duplication of the cube. The consideration of this matter has led to the observation of certain relations which deserve to be recorded.