Excerpt from Newton's Principia: Sections I. II. III., With Notes and Illustrations, Also a Collection of Problems Principally Intended as Examples of Newton's MethodsThroughout the Problems and Theorems which depend upon the sixth proposition, the variations have been re placed by equations. By this method oi' treating the subject, now commonly adopted in treatises professing to be versions of these Sections of the Principia, it is believed that clearer ideas of the meaning of each step of the demonstrations are obtained by the student.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.