The Cone and Its Sections: Treated Geometrically (Classic Reprint)

Language: English

Published by Forgotten Books, 2018

1330228944 / 9781330228944

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Print on Demand. This book explores the Conic Sections, a class of plane curves of immense mathematical and scientific significance. Consisting of the circle, parabola, ellipse and hyperbola, and first described by the mathematician Apollonius around 200 BC, their study has informed our understanding of everything from the elliptical orbits of planets to the parabolic trajectories of projectiles. Apollonius derived these curves from the cone - a solid shape generated by a straight line passing around a circumference whilst remaining parallel to a fixed straight line. This approach is central to the author's thorough examination of the primary properties of these conic sections, their areas, curvature and other characteristics. Of particular interest is the section detailing how anharmonic properties of the sections can be used to establish relationships between diameters, their ordinates and the tangents at their extremities. These relationships, which describe the geometric form of the curves, exemplify the book's depth of mathematical insight. This book is an authoritative and illuminating account of the fascinating field of conic sections, whose study has had a profound impact on our understanding of geometry, astronomy and physics, and whose principles underpin much of mathematics as we know it today. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781330228944_0

Title
The Cone and Its Sections: Treated Geometrically (Classic Reprint)
Author
S. A. Renshaw
Publisher
Forgotten Books
Publication year
2018
Condition
New
Book Type
print-on-demand item
Binding
Paperback
Language
English
ISBN 10
1330228944
ISBN 13
9781330228944
Seller catalogs
Geometry

Forgotten Books

London, United Kingdom

5-star seller

AbeBooks seller since June 2, 2021

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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 quality of the aged text.

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FB &c Ltd

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