General Investigations Of Curved Surfaces: Edited With An Introduction And Notes by Peter Pesic, 9780486446455, Dover Publications
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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 schief titles to fame, and as still the most finished and useful introduction to the study of infinitesimal geometry1. 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. ,T om. VI. (ad a. 1823-1827). Gottingse, 1828, pages 99-146. This sixth volume is rare; so much so, indeed, that theB ritish Museum Catalogue indicates that it is missing in that collection. With the signatures changed, and the paging changed to pages 1-50, la 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 sA pplication de 1analyse a la gometrie, fifth edition, edited by Liouville, Paris, 1850, on pages 505-546, is a reprint, added by theE ditor, in Latin under the title: Recherches sur la thorie genrale des surfaces courbes; Par M. C.-F. Gauss. 1G. Darboux, Bulletin desS ciences Math. Ser. 2, vol. 24, page 278, 1900.
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