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Excerpt from A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric Methods, 2d Rev. And Enl Art. 1. Geometrical theorems may be divided into two classes theorems concerning the magnitude of lines, and concerning their position; for example, that the square of the hypothenuse is equal to the sum of the squares of the sides, is a theorem con cerning magnitude; that the three perpendiculars of a triangle meet in a point, is a theorem concerning position. 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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