Excerpt from Plane Geometry The addition of another text to the long list of existing geometry texts calls for an explanation of the motives under lying its preparation. Briefly stated, this text aims to effect a compromise between the extreme demands of certain reformers and the equally un tenable position of overconservative writers. Our educational troubles cannot be cured by a complete break with the past, nor by ignoring the legitimate demands of our times. Accordingly, the authors have tried to endow the subject with life and reality, and at the same time to retain, as far as possible, that spirit of careful reasoning for which geometry has always been famous. 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.