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Öğe DARBOUX ASSOCIATE CURVES OF SPACELIKE CURVES IN E13(Editura Bibliotheca-Bibliotheca Publ House, 2024) Oeztuerk, Ufuk; Mahmood, Ghassan Ali MahmoodIn this paper, we introduce a new type of curve called the k-directional Darboux curve. These curves are generated by vector fields that are constructed using the Darboux frame of a given spacelike curve alpha lying on a timelike surface in Minkowski 3-space . We give the relationships between these curves and their curvatures. In particular, we show how k-directional Darboux curves can be used to classify some special curves, such as helices and slant helices