Excerpt from General Investigations of Curved Surfaces: Of 1827 and 1825
In 1827 Gauss presented to the Royal Society of Gottingen 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, 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:
I a. Disquisitiones generales circa superficies curvas
auctore Carolo Friderico Gauss
Societati regise oblatse D. 8. Octob. 1827,
and was printed in: Commentationes societatis regise scientiarum Gottingensis recentiores, Commentationes classis mathematicse. , Tom. VI. (ad a. 1823-1827). Gottingse, 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:
I b. Disquisitiones generales circa superficies curvas
auctore Carolo Friderico Gauss.
Gottingse. Typis Dieterichianis. 1828.
II. In Monge's Application de l'analyse a la geometrie, 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 thorie genrale des surfaces courbes; Par M. C. -F. Gauss.
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. Это и многое другое вы найдете в книге General Investigations of Curved Surfaces (Karl Friedrich Gauss)