Camci, CetinKula, LeventIlarslan, Kazim2025-01-272025-01-2720111224-1784https://hdl.handle.net/20.500.12428/26837In this paper, we give some characterizations of position vector of a unit speed curve in a regular surface M subset of E-3 which always lies in the planes spanned by {T, Z}, {T, Y} and {Y, Z}, respectively, by using (curve-surface)-frame {T,Y,Z} instead of Frenet frame {T, N, B}. We characterize such curves in terms of the geodesic curvature k(g), normal curvature k(n) and geodesic torsion t(r). Furthermore, we give some characterization for the regular surface M by using the concept of transversality of surfaces in Euclidean 3-space.eninfo:eu-repo/semantics/closedAccessPosition vector(curve-surface)-framegeodesic curvaturenormal curvaturegeodesic torsion and transversal surfacesCharacterizations of the position vector of a surface curve in Euclidean 3-spaceArticle1935970Q4WOS:0003009219000052-s2.0-84856446889Q3