On Integral Invariants of Ruled Surfaces Generated By the Darboux Frames of the Transversal Intersection Curve of Two Surfaces in E-3

Abstract

In this paper, the some characteristic properties of ruled surfaces which are generated by the Darboux frame of the transversal intersection curve of two surfaces were given in 3-dimensional Euclidean space E-3. Also, the relations between the integral invariants of the closed ruled surfaces were showned. Finally, the examples for parametric-parametric and imlicit-implicit surfaces were given.