Hacısalihoğlu [1 ] obtained two important coroîlaries by using Holditch’s Theorem which. is well’known for one-parameter closed planar motions. Müller [2 ] re-stated Holditch’s Theorem for the parts of snrface in E^. In this paper, we extended the coroîlaries of Hacısalihoğlu applying Müller’s technique to spatial motions and the parts of surface in E^.