Excerpt from A Geometrical Treatise on Conic Sections: With Numerous ExamplesI propose to investigate the properties of the Conic Sections from the definitions given above, and afterwards to show in what manner a Cone must be divided by a plane in order that the curve of intersection may be a Parabola, Ellipse, or Hyperbola.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.