A Treatise On The Circle And The Sphere
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A Treatise On The Circle And The Sphere
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Author : Julian Lowell Coolidge
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
A Treatise On The Circle And The Sphere written by Julian Lowell Coolidge and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with History categories.
Circles and spheres are central objects in geometry. This work looks at systems of circles and spheres and the geometry and groups associated to them. It also examines the differential and projective geometry of the space of various spheres in a given space.
Treatise On The Circle And The Sphere
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Author : JULIAN LOWELL. COOLIDGE
language : en
Publisher:
Release Date : 2018
Treatise On The Circle And The Sphere written by JULIAN LOWELL. COOLIDGE and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
A Treatise On The Circle And The Sphere
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Author : Julian Lowell Coolidge
language : en
Publisher: Forgotten Books
Release Date : 2015-06-16
A Treatise On The Circle And The Sphere written by Julian Lowell Coolidge and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-16 with Mathematics categories.
Excerpt from A Treatise on the Circle and the Sphere Every beginner in the science of geometry knows that the circle and the sphere have always played a central rôle, yet few people realize that the reasons for this are many and various. Attention was first called to these figures by their mechanical simplicity and importance, and the fortunate position thus won was further strengthened by the Euclidean tradition of limiting geometry, on the constructive side, to those operations which can be carried out with the aid of naught but ruler and compass. Yet these facts are far from sufficient to account for the commanding position which the circle and the sphere occupy to-day. To begin with, there would seem no a priori reason why those curves which are the simplest from the mechanical point of view should have the greatest wealth of beautiful properties. Had Euclid started, not with the usual parallel postulate, but with the different assumption either of Lobachevski or Riemann, he would have been unable to prove that all angles inscribed in the same circular arc are equal, and a large proportion of our best elementary theorems about the circle would have been lacking. Again, there is no a priori reason why a curve with attractive geometric properties should be blessed with a peculiarly simple cartesian equation; the cycloid is particularly unmanageable in pure cartesian form. The circle and sphere have simple equations and depend respectively on four and five independent homogeneous parameters. Thus, the geometry of circles is closely related to the projective geometry of three-dimensional space, while the totality of spheres gives our best example of a four-dimensional projective continuum. 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 Treatise On The Circle And Sphere
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Author : Julian Lowell 1873-1954 Coolidge
language : en
Publisher: Arkose Press
Release Date : 2015-10-27
A Treatise On The Circle And Sphere written by Julian Lowell 1873-1954 Coolidge and has been published by Arkose Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-27 with categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Treatise On The Circle And The Sphere By Julian Lowell Coolidge
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Author : Julian Lowell Coolidge
language : en
Publisher:
Release Date : 2006-09
A Treatise On The Circle And The Sphere By Julian Lowell Coolidge written by Julian Lowell Coolidge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09 with Mathematics categories.
A Treatise On The Circle And Sphere
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Author : Julian Lowell Coolidge
language : en
Publisher: Legare Street Press
Release Date : 2022-10-27
A Treatise On The Circle And Sphere written by Julian Lowell Coolidge and has been published by Legare Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-27 with History categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Treatise On The Circle And The Sphere Classic Reprint
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Author : Julian Lowell Coolidge
language : en
Publisher: Forgotten Books
Release Date : 2017-11-25
A Treatise On The Circle And The Sphere Classic Reprint written by Julian Lowell Coolidge and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-25 with Mathematics categories.
Excerpt from A Treatise on the Circle and the Sphere Every writer knows that the pleasantest part of his task consists in writing the preface, for here he has a chance to express his gratitude to the generous friends who have helped him with suggestion and counsel. The present author would especially mention his colleague Professor Maxime bocher, who kindly read the proof of Ch. VIII, and his former pupil Dr. David Barrow, who not only supplied much of the material in Oh. XIV but also did yeoman service in unearth ing mistakes in various parts of the work. Another pupil, Dr. Roger Johnson, has kindly suggested a number of minor corrections, mostly of a bibliographical nature. Yet the greatest debt is not to any one of these. 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 Treatise Of The Sphere
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Author : John Witty
language : en
Publisher:
Release Date : 1734
A Treatise Of The Sphere written by John Witty and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1734 with Spherical projection categories.
Treatise On The Projection Of The Sphere
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Author : Roberdeau Buchanan
language : en
Publisher:
Release Date : 1890
Treatise On The Projection Of The Sphere written by Roberdeau Buchanan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1890 with Spherical projection categories.
A Treatise On Spherical Astronomy
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Author : Robert Stawell Ball
language : en
Publisher: Cambridge University Press
Release Date : 2013-08-22
A Treatise On Spherical Astronomy written by Robert Stawell Ball and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-22 with Mathematics categories.
Originally published in 1908, this monograph by Sir Robert Stawell Ball (1840-1913) is a technical introduction to spherical astronomy.