Alkan, AkinKocayigit, HuseyinAgirman Aydin, Tuba2024-10-042024-10-0420241304-72051304-7191https://doi.org/10.14744/sigma.2023.00049http://hdl.handle.net/20.500.12403/3518In 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.eninfo:eu-repo/semantics/openAccessDarboux FrameMoving FrameNormal Darboux VectorOsculator Darboux VectorRectifying Darboux VectorArticle4241023102910.14744/sigma.2023.000492-s2.0-85200784164N/AWOS:001316114100007N/A