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Geometrical Conics Charles Smith

Geometrical Conics

Charles Smith

Published April 23rd 2018
ISBN : 9781330458518
270 pages
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Excerpt from Geometrical ConicsIn the first chapter of the following work I have proved some of the properties of conics by methods which are applicable to all the different forms, and have then proceeded to consider the three types of conics in... MoreExcerpt from Geometrical ConicsIn the first chapter of the following work I have proved some of the properties of conics by methods which are applicable to all the different forms, and have then proceeded to consider the three types of conics in detail in separate chapters. The book may, however, be said to have two beginnings- for the chapter on the Parabola is so written that it may be read first by those who prefer this arrangement.In the first chapter I have made use of the Eccentric Circle of Boscovich to obtain a general proof of the fundamental theorem that the ratio of the rectangles contained by the segments of two chords of a conic drawn in fixed directions is constant. This method was first introduced into English text-books by Dr C. Taylor in his very able and comprehensive Treatise on the Ancient and Modem Geometry of Conics.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.