The Cone And Its Sections
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The Cone And Its Sections Treated Geometrically
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Author : S. A. Renshaw
language : en
Publisher:
Release Date : 1875
The Cone And Its Sections Treated Geometrically written by S. A. Renshaw and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1875 with Conic sections categories.
The Cone And Its Sections Treated Geometrically
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Author : S. A. Renshaw
language : en
Publisher: BoD – Books on Demand
Release Date : 2023-11-17
The Cone And Its Sections Treated Geometrically written by S. A. Renshaw and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-17 with Fiction categories.
Reprint of the original, first published in 1875.
The Cone And Its Sections
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Author : S. A. Renshaw
language : en
Publisher: Forgotten Books
Release Date : 2018-01-17
The Cone And Its Sections written by S. A. Renshaw and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-17 with Mathematics categories.
Excerpt from The Cone and Its Sections: Treated Geometrically 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.
The Cone And Its Sections
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Author : S. A. Renshaw
language : en
Publisher: Forgotten Books
Release Date : 2015-06-26
The Cone And Its Sections written by S. A. Renshaw and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-26 with Mathematics categories.
Excerpt from The Cone and Its Sections: Treated Geometrically Of the works of the ancient Geometricians that hare descended to us, none perhaps has been more justly celebrated than the Treatise of Apllonius, of Perga, on the Conic Sections - a work that has, apparently, maintained its superiority over every other Treatise that has since been written on the subject. According to his Commentator, Eutocius, Apollonius was the first to derive the Sections from the Scalene Cone by different inclinations of the Cutting Plane, and in accordance with this derivation of the Curves he deduces the Primary Properties of the Sections from the Cone itself. 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 Prop. 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 plano, 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. The description of the Curves in plano and the derivation of their Properties thence, has however not been omitted; the method adopted in this part of the work being that of the Generating Circle, by which means not only the elementary, but many other Properties of the Sections can be proved both easily and elegantly. In the Articles on the Anharmonic Properties of the Sections, demonstrations of two important Theorems have been specially added in further illustration of the utility of this principle. 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.
Elements Of Conic Sections Deduced From The Cone
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Author : Abram Robertson
language : en
Publisher:
Release Date : 1825
Elements Of Conic Sections Deduced From The Cone written by Abram Robertson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1825 with Conic sections categories.
Elements Of Conic Sections Deduced From The Cone And Designed As An Introduction To The Newtonian Philosophy
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Author : Abram ROBERTSON (D.D., F.R.S.)
language : en
Publisher:
Release Date : 1818
Elements Of Conic Sections Deduced From The Cone And Designed As An Introduction To The Newtonian Philosophy written by Abram ROBERTSON (D.D., F.R.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1818 with categories.
Treatise On Practical Solid Or Descriptive Geometry
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Author : W. Timbrell Pierce
language : en
Publisher:
Release Date : 1873
Treatise On Practical Solid Or Descriptive Geometry written by W. Timbrell Pierce and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1873 with Geometry, Descriptive categories.
The Encyclopaedia Britannica
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Author : Thomas Spencer Baynes
language : en
Publisher:
Release Date : 1877
The Encyclopaedia Britannica written by Thomas Spencer Baynes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1877 with Encyclopedias and dictionaries categories.
Specifications Of Inventions
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Author : Great Britain. Patent Office
language : en
Publisher:
Release Date : 1870
Specifications Of Inventions written by Great Britain. Patent Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1870 with Patents categories.
The Encyclop Dia Britannica Or Dictionary Of Arts Sciences And General Literature With Extensive Improvements And Additions And Numerous Engravings
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Author :
language : en
Publisher:
Release Date : 1854
The Encyclop Dia Britannica Or Dictionary Of Arts Sciences And General Literature With Extensive Improvements And Additions And Numerous Engravings written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1854 with Encyclopedias and dictionaries categories.
