Hathout, F.Bekar, M.Yayli, Y.2024-02-232024-02-2320170219-88781793-6977https://doi.org/10.1142/S0219887817501456https://hdl.handle.net/20.500.12452/14186In this paper, a one-to-one correspondence is given between the tangent bundle of unit 2-sphere, TS2, and the unit dual sphere, S-D(2). According to Study's map, to each curve on S-D(2) corresponds a ruled surface in Euclidean 3-space, R-3. Through this correspondence, we have corresponded to each curve on TS2 a unique ruled surface in R-3. Moreover, the relationships between the developability conditions of these ruled surfaces and their striction curves are analyzed. It is shown that the ruled surfaces corresponding to the involute-evolute curve couples on TS2 are developable.eninfo:eu-repo/semantics/closedAccessTangent BundleLegendre CurveUnit Dual SphereStudy's MapRuled SurfaceSriction CurveArticle14102-s2.0-85026890765Q3WOS:000410712100012Q310.1142/S0219887817501456