Publisher's Synopsis
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.
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