  Surfaces and curves play an important role in geometric design. In recent
years, problem of finding a surface passing through a given curve have
attracted much interest. In the present paper, we propose a new method to
construct a surface interpolating a given curve as the geodesic curve of it.
Also, we analyze the conditions when the resulting surface is a ruled surface.
In addition, developablity along the common geodesic of the members of surface
family are discussed. Finally, we illustrate this method by presenting some
examples.
