Kofoğlu, Dikmen Nil2024-03-132024-03-1320212148-2683https://doi.org/10.31590/ejosat.963679https://search.trdizin.gov.tr/yayin/detay/1175565https://hdl.handle.net/20.500.12662/2377In this study, we investigated spherical images of a curve according to type-1 Bishop frame in three dimensional Weyl space. Further, we expressed the relations among Frenet-Serret and type-1 Bishop frame apparatus. We defined the concepts of general helix, slant helix, spherical curve and also circle by using prolonged covariant derivative in Weyl space. Later, provided that these spherical images satisfy the above definitions, the conditions obtained were expressed in terms of first and second curvatures and hence Bishop curvatures. Additionally, parallel displacement condition of the binormal vector fields of the _{1}^{n} and _{2}^{n} Bishop spherical images of a curvealong their own tangent vector fields was discussed.eninfo:eu-repo/semantics/openAccessArticle10.31590/ejosat.9636794582745011755650