A method, which is executed in a grinding machine , which comprises: - a cup grinding wheel provided with an abrasive surface (18.1, 18.2); - a tool spindle for accommodating and for rotationally driving the cup grinding wheel around a tool-axis of rotation (R1), wherein the tool spindle is provided with an eccentric drive in order to be able to move the cup grinding wheel excentrically, - a dressing tool , which is designed for dressing the cup grinding wheel , - a dressing spindle for accommodating and for rotationally driving the dressing tool around a dressing-axis of rotation (R3), - a bevel gear workpiece , - a workpiece spindle for accommodating the bevel gear workpiece and for rotationally driving the bevel gear workpiece around a workpiece-axis of rotation (R2), having the following dressing steps: a) rotationally driving the cup grinding wheel around the axis of rotation (R1) of the tool spindle at a first rotational speed (n1), b) rotationally driving the dressing tool around the axis of rotation (R3) of the dressing spindle at a second rotational speed (n3), c) carrying out a dressing method, in which the cup grinding wheel is dressed using the dressing tool , wherein a predetermined, fixed rotational speed ratio (DV) is specified between the first rotational speed (n1) and the second rotational speed (n3) during this step, and having the following machining steps, which are executed after carrying out the dressing steps: i. eccentrically rotationally driving the cup grinding wheel around the tool-axis of rotation (R1) at a first rotational machining speed (n1*) using the eccentric drive , ii. carrying out a grinding method, in which the bevel gear workpiece is machined by grinding using the cup grinding wheel . - a cup grinding wheel provided with an abrasive surface (18.1, 18.2); - a tool spindle for accommodating and for rotationally driving the cup grinding wheel around a tool-axis of rotation (R1), wherein the tool spindle is provided with an eccentric drive in order to be able to move the cup grinding wheel excentrically, - a dressing tool , which is designed for dressing the cup grinding wheel , - a dressing spindle for accommodating and for rotationally driving the dressing tool around a dressing-axis of rotation (R3), - a bevel gear workpiece , - a workpiece spindle for accommodating the bevel gear workpiece and for rotationally driving the bevel gear workpiece around a workpiece-axis of rotation (R2), a) rotationally driving the cup grinding wheel around the axis of rotation (R1) of the tool spindle at a first rotational speed (n1), b) rotationally driving the dressing tool around the axis of rotation (R3) of the dressing spindle at a second rotational speed (n3), c) carrying out a dressing method, in which the cup grinding wheel is dressed using the dressing tool , wherein a predetermined, fixed rotational speed ratio (DV) is specified between the first rotational speed (n1) and the second rotational speed (n3) during this step, i. eccentrically rotationally driving the cup grinding wheel around the tool-axis of rotation (R1) at a first rotational machining speed (n1*) using the eccentric drive , ii. carrying out a grinding method, in which the bevel gear workpiece is machined by grinding using the cup grinding wheel . <EOS>