Hıe theorems about closed motion in Euclidean space is given in [2] and [3]. İn this paper, using the real Steiner rotation and franslation vectors, we have given some theorans about the real pitch and the real aııgle of pitch whidı are the integral invariants of the closed space-like ruled surfaces. Taking a space-like line x in Frenet trihedron n, the real angle of pitdı of space-like ruled surface, which is dravm by the space-üke line x, is calculated by the real angle of pitdıs of space-like ruled surfaces tbose are drawn by the space-like lines t and b. Ih en, we give some theorems about dral and harmonic curvaturein R’ .