Conic Sections Their Principal Properties Proved Geometrically

Author : C. Taylor
Publisher : Forgotten Books
ISBN 13 : 9781330245323
Total Pages : 236 pages
Book Rating : 4.2/5 (453 download)

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Download or read book Geometrical Conics written by C. Taylor and published by Forgotten Books. This book was released on 2015-06-27 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Geometrical Conics: Including Anharmonic Ratio and Projection, With Numerous Examples This work contains elementary proofs of the principal properties of Conic Sections, together with Chapters on Projection and Anharmonic Ratio. The term Conic, elsewhere frequently employed as an abbreviation, is here formally adopted, with reference to the fact that it is no longer usual to define the curves in question as sections of a surface. The term Conic Section is introduced in Chapter XI. In Chapter II., some fundamental propositions are proved by methods applicable to all Conics, a Conic being considered as the locus of a point whose distance from a fixed point bears a constant ratio to its perpendicular distance from a fixed straight line. The propositions of this Chapter have been selected as either important in themselves or useful in their application. To the latter class belong Props. VII., VIII. which are useful in proving the Anharmonic Properties of Conics. Prop. XII., in which the fundamental property of diameters is established, leads to important simplifications. Prop, XIII., which follows immediately from it, has been applied to prove that, in the ellipse, CV.CT = CP2, (p. 81). The Lemma is shown, in the Appendix, to be closely connected with some important properties of central Conics. 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.