A Treatise on Analytic Geometry

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Excerpt from A Treatise on Analytic Geometry: Especially as Applied to the Properties of Conics: Including the Modern Methods of Abridged Notation In preparing the present treatise on Analytic Geometry, I have had in view two principal objects: to furnish an adequate introduction to the writings of the great masters, and to produce a book from which the topics of first importance may readily be selected by those who can not spare the time required for reading the whole work. I have therefore presented a somewhat extended account of the science in its latest form, as applied to Loci of the First and Second Orders, and have endeavored to perfect in the subject-matter that natural and scientific arrangement which alone can facilitate a judicious selection. Accordingly, not only have the equations to the Right Line, the Conies, the Plane, and the Quadrics been given in a greater variety of forms than usual, but the properties of Conies have been discussed with fullness, and the Abridged Notation has been introduced, with its cognate systems of Trilinear and Tangential Co-ordinates. On the other hand, to facilitate selection, these modern methods have been treated in separate chapters, and, in the discussion of properties, distinct statement, as well as natural grouping, has been constantly kept in view. 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.