Ilarslan, KazimNesovic, Emilija2025-01-212025-01-2120080420-12132391-4661https://hdl.handle.net/20.500.12587/25461In 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 B-1(perpendicular to) of its first binormal vector field B-1. In particular, we study the osculating curves in E-4 and characterize such curves in terms of their curvature functionseninfo:eu-repo/semantics/closedAccessosculating curve; Frenet equations; planar curve and curvatureArticle414931939WOS:000210119500020N/A