Excerpt from Elements of the Conic Sections
The hyperbola, in which any point is nearer the directrix than the focus; the constant ratio is less than unity.
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Excerpt from Elements of the Conic Sections
The hyperbola, in which any point is nearer the directrix than the focus; the constant ratio is less than unity.
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.
Excerpt from Elements of the Conic Sections
For two years I have been giving my advanced classes in Geometry work in conic sections by means of notes copied by the hektograph. The amount of work has grown on my hands till it has been too large for convenient use in its present form; so it is now put in the hands of the printer.
To show the connection of the curves by their definition, and not to follow too closely the line of reasoning in other American works on this subject, I used Boscovitch's definitions, and find by so doing many theorems can be demonstrated with less work than by using the ordinary definitions.
The demonstrations are necessarily longer than those relating to the straight line and circle, but there is a corresponding advantage in discipline to the student.
Although more details are given than in English works, it is hoped that enough has been omitted to require the independent thought of the student; and the author trusts it may be of some use to those desiring a knowledge of this extensive subject.
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.
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330245583
Anzahl: 15 verfügbar
Anbieter: Forgotten Books, London, Vereinigtes Königreich
Paperback. Zustand: New. Print on Demand. This book is a veritable treasure trove of knowledge, delving into the fascinating world of conic sections. It masterfully unveils the secrets of parabolas, ellipses, and hyperbolas through a comprehensive exploration of their definitions, properties, and applications. The author meticulously dissects each conic section, laying bare its unique characteristics and relationships. Beyond the theoretical framework, the book also illuminates the historical significance of conic sections. It traces their origins from ancient Greek mathematics to their pivotal role in astronomy and physics. The author demonstrates how these curves have shaped our understanding of the physical world, from the orbits of planets to the trajectory of projectiles. Thematic depth abounds within this book's pages. It explores the profound connections between conic sections and a diverse range of topics, including geometric constructions, calculus, and even art and architecture. The author skillfully weaves together these diverse threads, revealing the underlying unity and elegance of mathematics. In conclusion, this book is a testament to the enduring power and versatility of conic sections. Through its comprehensive analysis and engaging historical perspective, it offers readers a profound appreciation for these fundamental mathematical curves and their far-reaching impact on our understanding of the world around us. 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. print-on-demand item. Bestandsnummer des Verkäufers 9781330245583_0
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