A History of the Mathematical Theories of Attraction and the Figure of the Earth From, Vol. 2 of 2

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Excerpt from A History of the Mathematical Theories of Attraction and the Figure of the Earth From, Vol. 2 of 2: The Time of Newton to That of Laplace The investigations of Laplace on Attractions and the Figure of the Earth fall naturally into five divisions. The first division consists of three memoirs, which treat the subjects without the use of what we now call the Potential Function, or of that branch of analysis which we now call Laplace's Functions. The second division consists of a separate volume which uses the Potential Function. The third division consists of various memoirs which use both the Potential Function and Laplace's Functions. The fourth division is formed by the republication of the preceding researches in the first and second volumes of the Mecanique Céleste. The fifth division consists of researches subsequent to the publication of the second volume of the Mécanique Céleste, they are reproduced in the fifth volume of the Mécanique Céleste. We shall consider in the present Chapter Laplace's first three memoirs. We begin with the seventh volume of the Mémoires de Mathématique...par divers Savans... 1773: the date of publication is 1776. This volume contains two memoirs by Laplace, which among other subjects treat largely of Probability: see pages 473...475 of my History...of Probability. The part of the volume with which we are now concerned is entitled Sur la figure de la Terre, it occupies pages 524...534. It is not stated when these investigations were sent to the Academy, but from the title of the volume in which they appear we see that Laplace was not a member of the Academy when they were sent. 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.