The invention relates to a device for constructing a laminar body from a plurality of superimposed layers of free-flowing material, in particular particulate material, and a build platform within a working area. The layers are solidified in locally predetermined regions by the action of binders and are joined together so that at least one moulded body is formed by the solidified and joined regions of the layers. The device comprises a discharging device movable back and forth over the working area in at least one discharge direction and having at least one discharge opening from which the free-flowing material can be discharged in individual superimposed layers during the movement of the discharging device.