Excerpt from The Collected Mathematical Works of George William Hill, Vol. 3 Plana undertook, shortly after, to compute the portions of the great inequalities which arise from considering the square of the disturbing force.1 The results he obtained failed to satisfy an equation of condition which laplace had employed in his investigation. After some discussion laplace abandoned his equation and sub stituted for it another, which plana's results were as far from satisfying as before. Pontecoulant then, taking up the subject, discovered that laplace's results had been taken with the wrong sign, and that plana had made errors of some importance in his investigation. When these oversights had been corrected the different results were brought into tolerable agreement. 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.