Ruled surfaces with the base rectifying curves in Euclidean 3-space

Abstract

There are many studies about rectifying curves. We examine the ruled surfaces in this study which are the base curve is rectifying curve. We say that co-centrode curves which are dened by Chen and Dillen are the parameter curve for the special case u = 1 on the ruled surface with base rectifying curve. Also, we answer the question when does the parameter curves of the surface is a geodesic.