2Manisa Celal Bayar University, Department of Mathematics, Manisa, Türkiye
3Bayburt University, Faculty of Education, Bayburt, Türkiye
In 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.