Excerpt from The Elements of Geometry IN the revision of the author's work on plane and solid geometry, many important improvements have been effected. With a class just commencing the study of Geometry, too much emphasis cannot be laid on the form in which an oral or written demonstration should be presented. The beginner requires a certain amount of practice before he can acquire the art of putting a proof in a clear and logical 'form. To give this drill, the author has, through the whole of Book directly after each step in the proof the full statement of the reason, in smaller type, enclosed in brackets. 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.