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Öğe DIFFERENTIAL EQUATIONS CHARACTERIZATION FOR Di-DARBOUX SLANT HELICES(Editura Bibliotheca-Bibliotheca Publ House, 2025) Alkan, Akin; Kocayigit, Huseyin; Aydin, Tuba AgirmanIn this article, the differential equation characterizations for D-i-Darboux slant helices given with the help of three new orthogonal frames are introduced for the curves lying on a surface. These moving frames, obtained based on the Darboux frame, are called Osculating Darboux Frame, Normal Darboux Frame, and Rectifying Darboux Frame, respectively.Öğe New moving frames for the curves lying on a surface(Yildiz Technical Univ, 2024) Alkan, Akin; Kocayigit, Huseyin; Agirman Aydin, TubaIn this article, three new orthogonal frames are defined for the curves lying on a surface. These moving frames, obtained based on the Darboux frame, are called Osculator Darboux Frame, Normal Darboux Frame and Rectifying Darboux Frame, respectively. Also, the Osculator Darboux Frame components and curvatures are calculated for a presented example.












