Rectlinear surfaces and their isometric mapping

In this work, rectlinear surfaces which are assumed to be analytic and their isometric mapping are studied. In this respect, first I summerized the main knowledge about the rectlinear surfaces that is the base for studying these surfaces. As a result, it is shown that, quantities of a rectlinear surface can be explained by three functions; ; which depend on base curve parameter and the parameter of generator By using these facts; a) The problem, which a rectilinear surface maps to another rectilinear surface by preserving the generators, is solved. b) The problem, which a rectilinear surface isometrically is mapped by non-preserving generator to another rectilinear surface. c) It is determined the rectilinear surfaces which can be mapped isometrically to a non-rectilinear surface of revolution.