Excerpt from Algebraic Geometry: A New Treatise on Analytical Conic Sections The recent reforms in the teaching of Mathematics will, it is hoped, be considered sufficient justification for the appearance of a new treatise on Algebraic Geometry, and attention may be called to the following points which differentiate the present volume from its predecessors on the same subject: As it is written for beginners, and for the average boy, the straight line and the circle are very fully treated. The ele mentary ideas of the Calculus have been utilised, and full use made of one of the best of recent reforms, viz., the abolition of the water-tight compartment between Geometry and Algebra. The examples are numerous and varied, and a number of new types have been introduced, such as have been set in recent Examinations. Revision questions which may be taken orally, and Revision papers, are also given at various stages. The use of squared paper is encouraged, and another special feature of the work is the very free use of diagrams. All the most important properties of the Conic Sections are proved, either by Algebra. Or by Geometry, and the book claims to be complete as far as, and including the use of Cartesian and Polar coordinates. 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.