Ilarslan K.Nešovi? E.2020-06-252020-06-25200804201213https://hdl.handle.net/20.500.12587/2020In this paper, we give some characterization for a osculating curve in 3-dimensional Euclidean space and we define a osculating curve in the Euclidean 4-space as a curve whose position vector always lies in orthogonal complement B1 ? of its first binormal vector field Si. In particular, we study the osculating curves in E4 and characterize such curves in terms of their curvature functions. © 2008 Warsaw University. All rights reserved.eninfo:eu-repo/semantics/closedAccessFrenet equationsOsculating curvePlanar curve and curvatureArticle4149319392-s2.0-84882643949Q1