This paper investigates the homography which transforms a set of points in projective space when undergoing a rigid translation, termed a projective translation. A representation with seven parameters is proposed. They represent explicitly the geometric entities constraining and defining the translation. A practical algebraic method for extracting these parameters is developed. It allows for affine calibration of a stereo rig, for characterizing the motion intrinsics, as well as for composing projective translations. The practical effectiveness of calibration is evaluated on synthetic and real image data.