Apparatus and method for producing a reliable breaking line for the industrial cutting to length of glass sheets by means of a cutting wheel running on a float glass line under pressure imposed from above, with the following features: a) the location of the beginning of a breaking line is determined and a cutting wheel holder (20) with a cutting wheel (2) is brought into position, b) the cutting wheel holder (20) is lowered and the cutting wheel (2) is lowered onto the glass sheet (1) concerned with the desired pressing pressure, wherein the pressing pressure is set by means of a swing arm (3) and is monitored by means of a strain gauge (4) secured thereto, c) a change in the height of the glass sheet (1) prompts a control signal for an actuating motor (12) to be derived from the change in the resistance of the strain gauge (4), and the actuating motor brings about a corresponding change in the pressing pressure of the cutting wheel (2).