Elements of Geometry (Classic Reprint)

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Excerpt from Elements of Geometry The mathematical series of which this book is the first to be published is founded on the works of the late Professor Elias Loomis. In the present instance, however, the work can scarcely be called a revision. We have utilized many of the terse and accurate statements and definitions of the Loomis Geometry, and have aimed to maintain the high standard of that work for rigorous demonstrations, but, aside from these similarities, the arrangement and method of presentation are essentially new. While the book speaks for itself, we would call attention to some of its most important features. The Introduction presents in the shortest possible compass the general outlines of the science to be studied, and leads at once to the actual study itself. The definitions are distributed through the book as they are needed, instead of being grouped in long lists many pages in advance of the propositions to which they apply. An alphabetical index is added for easy reference. The constructions in the Plane Geometry are also distributed, so that the student is taught how to make a figure at the same time that he is required to use it in demonstration. In the Geometry of Space, the figures consist of half-tone engravings from the photographs of actual models recently constructed for use in the class-rooms of Yale University. By the side of these models are skeleton diagrams for the student to copy. 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.