## General Investigations of Curved Surfaces of 1827 and 1825 |

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abscissas arbitrary Area LL'P'P Atti della Reale auxiliary sphere C. F. Gauss centre circa superficies curvas circle constant coordinates correct to terms correspond cos2 curved line curved surface definite point denote Derivation of formula differential dp dp dp dp dq drawn dx dy dy dz easily seen equation expression figure Flachen formed by shortest functions fur Math Gauss geodesic Hence infinitely small values integral curvature intersection Journ length linear element magnitudes mean curvature means measure of curvature method multiplying normal notation obtain paper plane curve pole polygon positive or negative preceding article quantities radii radius of curvature Reale Accad regarded represents the direction respectively right angles shortest lines side sin f sixth degree spherical angle straight lines substituting suppose tangent theorem theory tion total curvature translation Ueber variables Wangerin Wissenschaften