Abstract: A system for use in construction or similar activities, for layout of points or lines using a projected laser beam includes a remotely controlled turntable unit having a rotatable turntable for receiving a portable, hand-carryable self-leveling laser projecting instrument. The portable self-leveling laser instrument preferably has a relatively wide self-leveling range, such as up to about 4.degree. in two axes, and is useful in layout operations separate from the remote turntable. When placed on the remote turntable unit, the direction of pointing of the laser or lasers from the instrument can be controlled by the operator from a distance, through operation of a hand-held remote unit having directional buttons which control a motor of the turntable unit. Provision can be included for measuring angles on the turntable unit, for varying the speed of rotation of the turntable, as by holding down one of the buttons, and for generating a preselected angle (such as 90.degree.) from a remote position.