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Excerpt from Elements of Geometry: With Practical Applications, for the Use of Schools It is proper here to observe that the circle is uniform ly treated in the following work, as a regular polygon of an infinite number of sides. This has done more than all other expedients, to reduce the dimensions of the work, without diminishing the number of results. If this principle had not been introduced, and the properties of the circle and figures depending upon it had been demonstrated by the usual method of a reductio ad absurdum, at least thirty pages more would have been necessary to obtain the same results as are here obtained. This appeared to be a sufficient rea son for introducing it. Under the impression that every student, who is at all inquisitive or curious, must desire to know something of the history Of Geometry, its origin and progress are briefly traced in the Introduction. If the student should read this before studying the body of the work. 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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