Geometrical Conic Sections: An Elementary Treatise in Which the Conic Sections Are Defined as the Plane Sections of a Cone, and Treated by the Method of Projections (Classic Reprint) - Couverture souple

Jackson, J. Stuart

Couverture souple

ISBN 10 : 1332814638 ISBN 13 : 9781332814633

Editeur : Forgotten Books, 2016

Synopsis

Excerpt from Geometrical Conic Sections: An Elementary Treatise in Which the Conic Sections Are Defined as the Plane Sections of a Cone, and Treated by the Method of Projections

It is hoped these may be thought sufficient reasons for departing from the definition which has been in use of late years.

I have retained the proof of the constancy of the ratio of the rectangles under the segments of intersecting chords in constant directions (chap. V. Given by Dean Hamilton in his treatise published in 1773, as an improving and interesting study and one that is in harmony with the scheme of this work.

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.

A propos du livre

Présentation de l'éditeur

The following pages have been written with a view to give the student the benefit of theM ethod of Projections as applied to theE llipse and Hyperbola. This Method is calculated to produce a material simplification in the treatment of those curves and to make the proof of their properties more easily understood in the first instance and more easily remembered. It is also a powerful instrument in the solution of a large class of problems relating to these curves. When theM ethod of Projections is admitted into the treatment of the Conic Sections there are many reasons why they should be defined, not as has been the case of late years with reference to the focus and directrix, but according to the original definition from which they have their name, as planeS ections of aC one. First and principally, because this definition gives an immediate proof of the relation by projection of theE llipse and Circle and of the General andR ectangular Hyperbolas: and in the second place, it naturally divides the properties that may be proved by projection from those connected with the focus and directrix, and thus introduces a valuable simplification into the treatment of the subject.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2016
• Langue: anglais
• ISBN 10: 1332814638
• ISBN 13: 9781332814633
• Reliure: Broché
• Nombre de pages: 194
• Coordonnées du fabricant: Copytech (UK) Ltd, Trading as Printondemand-worldwide.com; gpsr@podww.com; ; 9 Culley Court; Orton Southgate; Peterborough; Cambridgeshire; PE2 6WA; Royaume-Uni
• Personne responsable: Easy Access System Europe Oü, 16879218; +358405003575; gpsr.requests@easproject.com; ; Mustamäe tee 50; Tallinn; 10621; Estonie