Excerpt from Proceedings of the American Academy of Arts and Sciences, Vol. 7: From May, 1865, to May, 1868 As the unit of x is arbitrary, when the interpolations are made at equal intervals it can be taken equal to one of the equal parts of at corresponding to the interpolated values of F3, and then to will repre sent the number Of interpolated intervals contained in one of the origi nal intervals; that is, a) 1 will represent the number of interpola tions in each original interval. In this case the value of 90 used in interpolating is always one of the numbers IF 1, I]: 2, ZF 3, and if the number of interpolations to each original interval is not too great, the different terms in the expression of E, are readily obtained after the constants B1, B, &c. Have been computed. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.