In 1827 Gauss presented to the Royal Society of G ttingen 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,...