18. Uluslararası Geometri Sempozyumu, Malatya, Türkiye, 12 - 13 Temmuz 2021, ss.81
In this study, we give a new type of osculating curve in the n-
dimensional Euclidean space. Using the denition of an osculating
curve in lower dimensions we give a generalization of osculating curve
in En. Additionally, we show that the curvatures of the generalized
osculating curve construct the solution of a higher order dierential
equation.