Önder, Mehmet2022-12-272022-12-272022https://doi.org/10.31801/cfsuasmas.950707http://hdl.handle.net/20.500.12575/86484In this study, we define (1,3)-Bertrand-direction curve and (1,3)-Bertrand-donor curve in the 4-dimensional Euclidean space E 4 . We introduce necessary and sufficient conditions for a special Frenet curve to have a (1,3)-Bertrand-direction curve. We introduce the relations between Frenet vectors and curvatures of these direction curves. Furthermore, we investigate whether (1,3)-evolute-donor curves in E 4 exist and show that there is no (1,3)-evolute-donor curve in E 4 .enDirection curve, (1,3)-Bertrand-direction curve, (0,2)-involute-direction curveArticle7123263381303-5991