A system and method of layerwise production of a tangible object (5), they system comprising a construction shape (6) to form a liquid layer to be brought in contact with the tangible object; solidifying means (9) for solidifying a predetermined area of a layer (10) of the liquid (3), so as to obtain a solid layer (14) of the tangible object (5), the solid layer thus having a predetermined shape, separating means (18; 19′; ·″) for separating said solid layer from said construction shape; moving means (18) for moving, relative to one another, the construction shape (6) to a predetermined position relative to the tangible object (5), for carrying out a successive such method cycle for solidifying a predetermined area of a successive such liquid layer; the system is arranged to provide a limited volume of liquid adhered to the construction shape to form a liquid layer of limited height that does not contact the tangible object; wherein said moving of said construction shape and said solidifying of said predetermined area are carried out to take place simultaneously.