Excerpt from Secular Perturbations Arising From the Action of Jupiter on Mars: A Thesis Presented to the Faculty of Philosophy of the University of Pennsylvania, in Partial Fulfilment of the Requirements for the Degree Doctor of Philosophy These equations are known as Lagrange's Canonical Forms, and in deriving them we have assumed that all points of the system have been expressed in terms of t and 70 independent variables qk Since there are 3n cofirdinates altogether in the system, (ml 311 sl, w y z) this assumes that there are (3n k) equa tions of condition. 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.