The Cone and Its Sections: Treated Geometrically (Classic Reprint)
Idioma: inglés
Editorial: Forgotten Books, 2018
- Tapa blanda
- Nuevo
Librería: Forgotten Books, London, Reino UnidoForgotten Books
Vendedor de AbeBooks desde 2 de junio de 2021
Condición: Nuevo
EUR 17,66
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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.…
N° de ref. del artículo 9781330228944_0
- Título
- The Cone and Its Sections: Treated Geometrically (Classic Reprint)
- Autor
- S. A. Renshaw
- Editorial
- Forgotten Books
- Año de publicación
- 2018
- Estado
- New
- Tipo de libro
- print-on-demand item
- Encuadernación
- Paperback
- Idioma
- inglés
- ISBN 10
- 1330228944
- ISBN 13
- 9781330228944
- Catálogos de vendedores
- Geometry
Modern writers have however to a considerable extent departed from this method commencing their works by definitions of the Curves described in plano, such definitions being adapted to or derived from Properties of the Curves themselves; a strong tendency has however been shown, and especially by one Geometer of the last century, Hamilton, to revert to the Apollonian method. Accordingly in the present work the Primary Properties of the Sections are derived from the Cone, and it is believed that this is the case to a greater extent than in any previous Treatise. The reasons that have principally led to this course of treatment, are first, that the elementary Properties alluded to, and contained in Pr0p. V., are by the help of the most elementary Properties of the Cone demonstrated as it were together, and their connection and mutual dependence shown in the clearest manner; and secondly, it is presumed that by becoming acquainted with these principles as thus deduced, a deeper impression is obtained of their great and essential importance than could possibly be the case were that acquaintance made by deductions from any definition of the Curves in pla no, seeing that according to the definition adopted the process of deduction must necessarily vary.
These Properties will then be found demonstrated both from the Scalene and Right Cone, and although their derivation from the former involves considerable prolixity, it is believed that the reader will be well repaid for the time and patience expended in the investigation.
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.
“Sinopsis” puede pertenecer a otra edición de este título.
Reseña del editor
Modern writers have however to a considerable extent departed from this method commencing their works by definitions of the Curves described in plano, such definitions being adapted to or derived from Properties of the Curves themselves; a strong tendency has however been shown, and especially by one Geometer of the last century, Hamilton, to revert to the Apollonian method. Accordingly in the present work the Primary Properties of the Sections are derived from the Cone, and it is believed that this is the case to a greater extent than in any previous Treatise. The reasons that have principally led to this course of treatment, are first, that the elementary Properties alluded to, and contained in Pr0p. V., are by the help of the most elementary Properties of the Cone demonstrated as it were together, and their connection and mutual dependence shown in the clearest manner; and secondly, it is presumed that by becoming acquainted with these principles as thus deduced, a deeper impression is obtained of their great and essential importance than could possibly be the case were that acquaintance made by deductions from any definition of the Curves in pla no, seeing that according to the definition adopted the process of deduction must necessarily vary.
These Properties will then be found demonstrated both from the Scalene and Right Cone, and although their derivation from the former involves considerable prolixity, it is believed that the reader will be well repaid for the time and patience expended in the investigation.
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.
“Acerca de” puede pertenecer a otra edición de este título.
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