Mecanique Celeste, Vol. 1
Excerpt from Mecanique Celeste, Vol. 1 The notation of the author has been strictly adhered to, and the double parentheses, which he has used to denote the partial differentials, have been retained, though at present many mathematicians reject them. For the sake of a more easy method of reference, to any particular part of the work, or to any single formula, the marginal numbers are inserted. These are frequently referred to, in the translation, and in the notes. The introduction of these numbers is the only alteration which has been made in the original work. In other respects it will be found, that the translation has been as nearly literal, as is consistent with a faithful interpretation of the sense of the author. These marginal references might supersede the use of those made by the author, in a few of the most important formulas, but it was thought best to retain them, because they might possibly be referred to, in quoting from the original work. It must be observed that in citing a single formula, the marginal reference will be found on the same line with the formula; but in referring to a particular sentence, or paragraph, it will generally be on the middle line of it. As the author has supposed the quadrant of a circle to be divided into 100 degrees, each degree into 100 minutes, each minute into 100 seconds, and has applied the usual marks to these quantities; it has been found convenient, in the notes, when the sexagesimal division is used, to employ the letters d, m, s, &c., to denote degrees, minutes, seconds, 8cc., of the common sexagesimal notation; so that 1000 is equivalent to 3243. This distinction will be adhered to throughout the work. 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.