Excerpt from The Parabola, Ellipse, and Hyperbola, Treated GeometricallyLong experience has proved to me that it would be a. Great practical advantage for the general class of students to acquire a knowledge of even the elementary Geometrical properties of' the Parabola, Ellipse, and Hyperbola - a knowledge which may be attained, in a very short time, by any one acquainted with the six Books of Euclid, though many have neither the ability nor the perseverance necessary for the Analytical investigation.In the following Treatise I have endeavoured to demon strate, on strictly geometrical principles, the most useful properties of these curves. In the definition of a tan gent I have avoided the notion of a limit, adopting, in preference, Euclid's definition, and the demonstrations depending thereon will, I think, he found somewhat new and interesting.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.