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Excerpt from The Elements of Geometry The present text, the outgrowth of over twenty years' expo ricuce with classes in geometry, carries the work from the simple elements necessary in the beginning class of the high school to the most advanced requirements of university prepa ration. For many years we have followed in our own classes the plan here presented, with such modifications and improve ments as experience has suggested. It is generally conceded that much of the pupil's difficulty in demonstration arises from his failure to grasp thoroughly and keep vividly in mind as separate and distinct statements, first, the exact data of the proposition, and, second, the precise fact to be established. To remove this stumbling-block, we have stated the hypothesis and conclusion separately for every theorem and corollary demonstrated. Through the open arrangement of the printed matter, we have sought to make each successive step stand out clearly; and by so adjusting diagrams and text that in the course of any single demonstration it is unnecessary to turn the page, we have endeavored to avoid waste of effort on the part of the pupil. 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.

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