A method cycle of a method for layerwise production of a tangible object (5) comprises the successive steps of: solidifying a predetermined area of a layer (10) of a liquid (3), said liquid layer adjoining a construction shape (6), so as to obtain a solid layer (14) having a predetermined shape; separating said solid layer from said construction shape; and moving the separated solid layer and the construction shape to a predetermined position relative to one another for letting the liquid flow-in between the separated solid layer and the construction shape. Reduced pressure is applied to at least one fluid, such as the liquid (3).