Excerpt from An Elementary Treatise on Analytic Geometry: Embracing Plane Geometry The present work on Analytic Geometry is designed as a text-book for Colleges and Scientific Schools. The object has been to exhibit the subject in a clear and simple manner, especially for the use of beginners, and at the same time to include all that students usually require in the regular undergraduate course. The aim has been to make every principle clear, so as to be easily understood by students of average ability; for I venture to think that there is nothing in the subject that lies beyond the reach of good common minds. It has been the intention to furnish a useful text-book; clear and concise demonstrations have been sought and freely taken from all available sources. Wherever it has been possible to simplify a line of proof as indicated by the leading writers, so as to adapt it to the use of beginners, it has been done; but no attempt has been made to depart from clear and satisfactory methods adopted by others, merely for the purpose of seeming to be original. 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.