General Investigations Of Curved Surfaces Of 1827 And 1825
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General Investigations Of Curved Surfaces Of 1827 And 1825
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Author : Carl Friedrich Gauss
language : en
Publisher:
Release Date : 1902
General Investigations Of Curved Surfaces Of 1827 And 1825 written by Carl Friedrich Gauss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1902 with Surfaces categories.
General Investigations Of Curved Surfaces Of 1827 And 1825
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Author : Karl Friedrich Gauss
language : en
Publisher:
Release Date : 1902
General Investigations Of Curved Surfaces Of 1827 And 1825 written by Karl Friedrich Gauss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1902 with categories.
General Investigations Of Curved Surfaces
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Author : Karl Friedrich Gauss
language : en
Publisher:
Release Date : 2019
General Investigations Of Curved Surfaces written by Karl Friedrich Gauss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
General Investigations Of Curved Surfaces Of 1827 And 1825
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Author : Karl Friedrich Gauss
language : en
Publisher: Forgotten Books
Release Date : 2018-01-09
General Investigations Of Curved Surfaces Of 1827 And 1825 written by Karl Friedrich Gauss and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-09 with Mathematics categories.
Excerpt from General Investigations of Curved Surfaces of 1827 and 1825: Translated With Notes and a Bibliography Recently the eighth volume of Gauss's Works has appeared. This contains on pages 408 - 442 the paper which Gauss wrote out, but did not publish, in 1825. This paper may be called the New General Investigations of Curved Surfaces, or the Paper of 1825, to distinguish it from the Paper of 1827. The Paper of 1825 shows the manner in which many of the ideas were evolved, and while incomplete and In some cases inconsistent, nevertheless, when taken in connection with the Paper of 1827, shows the development of these ideas in the mind of Gauss. In both papers are found the method of the spherical representation, and, as types, the three important theorems: The measure of curvature is equal to the product of the reciprocals of the principal radii of curvature of the surface, The measure of curvature remains unchanged by a mere bending of the surface, The excess of the sum of the angles of a geodesic triangle is measured by the area of the corresponding triangle on the auxiliary sphere. But in the Paper of 1825 the first six sections, more than one-fifth of the whole paper, take up the consideration of theorems on curvature in a plane, as an introduction before the ideas are used in space; whereas the Paper of 1827 takes up these ideas for space only. Moreover, while Gauss introduces the geodesic polar coordinates In the Paper of 1825, in the Paper of 1827 he uses the general coordinates, p, 9, thus introducing a new method, as well as employing the principles used by Monge and others. 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.
General Investigations Of Curved Surfaces
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Author : Karl Friedrich Gauss
language : en
Publisher: Courier Corporation
Release Date : 2005-10-24
General Investigations Of Curved Surfaces written by Karl Friedrich Gauss and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-24 with Mathematics categories.
Originally published: General investigations of curved surfaces of 1827 and 1825. [Princeton]: Princeton University Library, 1902.
General Investigations Of Curved Surfaces Of 1827 And 1825
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Author : Karl Friedrich Gauss
language : en
Publisher: Franklin Classics Trade Press
Release Date : 2018-10-18
General Investigations Of Curved Surfaces Of 1827 And 1825 written by Karl Friedrich Gauss and has been published by Franklin Classics Trade Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-18 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 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. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
General Investigations Of Curved Surfaces
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Author : Karl Friedrich Gauss
language : en
Publisher:
Release Date : 2019-12-20
General Investigations Of Curved Surfaces written by Karl Friedrich Gauss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-20 with categories.
In 1827 Gauss presented to the Royal Society of Göttingen his important paper on the theory of surfaces, which seventy-three years afterward the eminent French geometer, who has done more than any one else to propagate these principles, characterizes as one of Gauss's chief titles to fame, and as still the most finished and useful introduction to the study of infinitesimal geometry._ This memoir may be called: General Investigations of Curved Surfaces, or the Paper of 1827, todistinguish it from the original draft written out in 1825, but not published until 1900. A list of the editions and translations of the Paper of 1827 follows.There are three editions in Latin, two translations into French, and two into German. The paper was originally published in Latin under the title: Ia. Disquisitiones generales circa superficies curvas auctore Carolo Friderico Gauss.
General Investigations Of Curved Surfaces Of 1827 And 1825
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Author : Carl Friedrich Gauss
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-04-23
General Investigations Of Curved Surfaces Of 1827 And 1825 written by Carl Friedrich Gauss and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-23 with categories.
Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy. We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.
General Investigations Of Curved Surfaces
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Author : Karl Friedrich Gauss
language : en
Publisher: BoD - Books on Demand
Release Date : 2022-12-14
General Investigations Of Curved Surfaces written by Karl Friedrich Gauss 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 2022-12-14 with Mathematics categories.
INTRODUCTION In 1827 Gauss presented to the Royal Society of Göttingen his important paper on the theory of surfaces, which seventy-three years afterward the eminent French geometer, who has done more than any one else to propagate these principles, characterizes as one of Gauss’s chief titles to fame, and as still the most finished andusefulintroductiontothestudyofinfinitesimalgeometry.∗ Thismemoirmay be called: General Investigations of Curved Surfaces, or the Paper of 1827, to distinguish it from the original draft written out in 1825, but not published until 1900. A list of the editions and translations of the Paper of 1827 follows. There are three editions in Latin, two translations into French, and two into German. The paper was originally published in Latin under the title: Ia. Disquisitiones generales circa superficies curvas auctore Carolo Friderico Gauss. Societati regiæ oblatæ D. 8. Octob. 1827, and was printed in: Commentationes societatis regiæ scientiarum Gottingensis recentiores, Commentationes classis mathematicæ. Tom. VI. (ad a. 1823–1827). Gottingæ, 1828, pages 99–146. This sixth volume is rare; so much so, indeed, that the British Museum Catalogue indicates that it is missing in that collection. With the signatures changed, and the paging changed to pages 1–50, Ia also appears with the title page added: Ib. Disquisitiones generales circa superficies curvas auctore Carolo Friderico Gauss. Gottingæ. Typis Dieterichianis. 1828. II. In Monge’s Application de l’analyse à la géométrie, fifth edition, edited by Liouville, Paris, 1850, on pages 505–546, is a reprint, added by the Editor, in Latin under the title: Recherches sur la théorie générale des surfaces courbes; Par M. C.-F. Gauss. IIIa. A third Latin edition of this paper stands in: Gauss, Werke, Her- ausgegeben von der Königlichen Gesellschaft der Wissenschaften zu Göttingen, Vol. 4, Göttingen, 1873, pages 217–258, without change of the title of the original paper (Ia). IIIb. The same, without change, in Vol. 4 of Gauss, Werke, Zweiter Abdruck, Göttingen, 1880. IV. A French translation was made from Liouville’s edition, II, by Captain Tiburce Abadie, ancien élève de l’École Polytechnique, and appears in Nouvelles Annales de Mathématique, Vol. 11, Paris, 1852, pages 195–252, under the title: Recherches générales sur les surfaces courbes; Par M. Gauss. This latter also appears under its own title. Va. Another French translation is: Recherches Générales sur les Surfaces Courbes. Par M. C.-F. Gauss, traduites en français, suivies de notes et d’études sur divers points de la Théorie des Surfaces et sur certaines classes de Courbes, par M. E. Roger, Paris, 1855.
General Investigations Of Curv
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Author : Carl Friedrich 1777-1855 Gauss
language : en
Publisher: Wentworth Press
Release Date : 2016-08-26
General Investigations Of Curv written by Carl Friedrich 1777-1855 Gauss and has been published by Wentworth Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-26 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 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.