To take blanks of sheets for producing laminated glass, from a cutting table, an adjustable takeoff roller onto which the sheet blanks are wound is used. To fix the beginning of the sheet blank to be taken off to the takeoff roller, openings for applying negative pressure are provided in the lateral surface of the takeoff roller. When a sheet blank is taken from the cutting table, the takeoff roller is brought into position at the beginning of the sheet blank to be taken off, the blank is fixed to the takeoff roller and the takeoff roller is then moved along the cutting table while rotating about its own axis, and so the sheet blank is wound up around the lateral surface of the takeoff roller. For laying down the sheet blank onto a glass pane during the production of laminated glass, a correspondingly reversed procedure may be used.