Abstract: Improved optical means for automatically controlling or monitoring the position of a relatively moving member such as a tool tip in a numerically controlled machine tool has an image of a region of a datum line projected on to a slit in an optical system. Light passing through the slit falls on to a photoelectric detector device which comprises an array of discrete elements. The elements are electronically scanned sequentially and an electric circuit is provided to produce an output signal when a preset change in incident light intensity is detected by any of the photoelectric elements thus indicating the presence of the movable member at the datum line. There may be two slits projecting images of the region around two transverse datum lines on to two separate arrays so that the movable member can be controlled in two dimensions. Alternatively, in place of two separate arrays and two slits a single two dimensional array may be provided suitably masked.