The well known Bresse circle and inflection circle of planar kinematics are calculated on the unit dual sphere. Spatial eguivalents of these circles are derived using the Study mapping. Hence two line congruences are obtained. At any time t there are three common lines of these congruences. These lines are the instantaneous acceleration axes of on e parameter spatial motion which corresponds to the congruences. In general case and in some special cases, the properties of these congruences are discussed.