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Excerpt from A Key, Containing Solutions and Explanations of the Problems in the Last Four Books of the Elements of Geometry: For the Use of Teachers Only Having carefully read the advanced sheets of Greenleaf's Geometry, I am happy to be able to assure you that the work appears to me to be one of great merit. Of course. No person can expect to find much that is essentially new ina geometrical treatise published at this day. But Mr. Greenleaf's. While it is based, like nearly all American Geometries, upon Legendre's original work, contains valuable propositions not usually found in similar publications, and also presents uncommonly clear demonstrations of many of the standard propositions. The definitions contained in this work are generally consise. Clear. And exact. The exercises in Mensuration, and in the Application of Algebra to Geometry, will be found unusually interesting and useful. In a word, I have no doubt that Mr. Greenleaps Geom etry will be found to compare favorably with the best Geometries yet published. 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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