Excerpt from An Introduction to Analytical Plane Geometry I the earlier part of this book - the part in which the method of co-ordinates is described and applied to the straight line and the conic sections - I have adopted the plan of Mr Todhunter's Co-ordinate Geometry, examining the parabola, ellipse, and hyperbola before discussing the general equation of the second degree. In the thirteenth chapter same account is given of projection and reciprocal polars. In applying perspective projection I have not ventured beyond real conceivable geometry. The last chapter introduces equations of higher degrees than the second. The reader of Mr Salmon's works will anticipate my great obligations to the Conic Sections and Higher Plane Curves. I would also make grateful mention of Mr. Ferrer's Trilinear Co ordinates, though I have not studied to keep strictly apart the methods of trilinear co-ordinates and abridged notation. 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.