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... shall be justified by pregnant theorems. The solution of the problem, to find the measure of curvature at any point of a curved surface, appears in different forms according to the manner in which the nature of the curved surface is given. When the...

General Investigations of Curved Surfaces of 1827 and 1825 - Page 47
by Carl Friedrich Gauss - 1902 - 126 pages
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Mathematical Masterpieces: Further Chronicles by the Explorers

Art Knoebel, Reinhard Laubenbacher, Jerry Lodder, David Pengelley - Mathematics - 2007 - 346 pages

...the nature of the curved surface is given. When the points in space, in general, are distinguished by three rectangular coordinates, the simplest method...relation between this measure of curvature and the curvature of the curves formed by the intersections of the curved surface with planes normal to it....

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