Two Geometrical Memoirs On The General Properties Of Cones Of The Second Degree And On The Spherical Conics PDF Download

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Two Geometrical Memoirs on the General Properties of Cones of the Second Degree, and on the Spherical Conics (Classic Reprint)

Two Geometrical Memoirs on the General Properties of Cones of the Second Degree, and on the Spherical Conics (Classic Reprint)
Author: M. Chasles
Publisher:
Total Pages: 128
Release: 2015-07-26
Genre: Mathematics
ISBN: 9781331982135

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Excerpt from Two Geometrical Memoirs on the General Properties of Cones of the Second Degree, and on the Spherical Conics The two Memoirs by M. Chasles, "On the Properties of Cones of the second Degree," and "On the Spherical Conics," of which a translation is now presented to English geometers, were printed in the sixth volume of the Transactions of the Royal Academy of Brussels. Whether they are considered merely as exercises of pure geometry, exhibiting its elegance and power in a remarkable degree, or as a rich and early contribution to the theory of spherical curves, they possess strong claims on the attention of mathematicians. But, published as they were, they remained unseen by the greater number of our geometers, so that it appeared highly desirable to make them more generally known by means of a reprint or translation; more especially as there is no detached work in the English language treating of the same 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.


Two Geometrical Memoirs of the General Properties of Cones of the Second Degree, and On the Spherical Conics, Tr. With Notes and Additions by C. Graves

Two Geometrical Memoirs of the General Properties of Cones of the Second Degree, and On the Spherical Conics, Tr. With Notes and Additions by C. Graves
Author: Michel Chasles
Publisher: Legare Street Press
Total Pages: 0
Release: 2023-07-18
Genre:
ISBN: 9781022765313

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Michel Chasles presents two groundbreaking geometrical memoirs in this seminal work on cones. With clear and concise descriptions, Chasles lays out his discoveries on the general properties of cones of the second degree and the spherical conics. Complete with detailed notes and additions by C. Graves, this book is essential reading for anyone interested in the history of geometry. 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.


Two Geometrical Memoirs on the General Properties of Cones of the Second Degree, and on the Spherical Conics - Primary Source Edition

Two Geometrical Memoirs on the General Properties of Cones of the Second Degree, and on the Spherical Conics - Primary Source Edition
Author: Michel Chasles
Publisher: Nabu Press
Total Pages: 126
Release: 2013-09
Genre:
ISBN: 9781289357559

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This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.


Two Geometrical Memoirs of the General Properties of Cones of the Second Degree and on the Spherical Conics ... Translated ... with notes and additions, and an appendix on the application of analysis to spherical geometry by the Rev. Charles Graves

Two Geometrical Memoirs of the General Properties of Cones of the Second Degree and on the Spherical Conics ... Translated ... with notes and additions, and an appendix on the application of analysis to spherical geometry by the Rev. Charles Graves
Author: Michel CHASLES
Publisher:
Total Pages: 112
Release: 1841
Genre:
ISBN:

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Non-Euclidean Laguerre Geometry and Incircular Nets

Non-Euclidean Laguerre Geometry and Incircular Nets
Author: Alexander I. Bobenko
Publisher: Springer Nature
Total Pages: 142
Release: 2021-10-29
Genre: Mathematics
ISBN: 3030818470

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This textbook is a comprehensive and yet accessible introduction to non-Euclidean Laguerre geometry, for which there exists no previous systematic presentation in the literature. Moreover, we present new results by demonstrating all essential features of Laguerre geometry on the example of checkerboard incircular nets. Classical (Euclidean) Laguerre geometry studies oriented hyperplanes, oriented hyperspheres, and their oriented contact in Euclidean space. We describe how this can be generalized to arbitrary Cayley-Klein spaces, in particular hyperbolic and elliptic space, and study the corresponding groups of Laguerre transformations. We give an introduction to Lie geometry and describe how these Laguerre geometries can be obtained as subgeometries. As an application of two-dimensional Lie and Laguerre geometry we study the properties of checkerboard incircular nets.