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Excerpt from A Treatise on the Analytical Geometry of the Point, Line, Circle, and Conic Sections: Containing an Account of Its Most Recent Extensions, With Numerous Examples For several years Analytical Geometry has been my special study, and some of the investigations in the more advanced portions of this Treatise were first published in Papers written by myself. These include: finding the Equation of a Circle touching Three Circles; Of a Conic touching Three Conics extending the equations of Circles inscribed and circumscribed to Triangles to Circles in scribed and circumscribed to Polygons of any number of sides; the extension to Conics of the properties of Circles cutting orthogonally; proving that the Tact-invariant of two conics is the product of Six Anharmonic Ratios; and some others. Of the Propositions in the other parts of the Treatise, the proofs given will be found to be not only simple and elementary, but in some instances original. 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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9781333021863

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