n fw ue89e xd fw n sp the currently prevailing winding ratio wd akt is calculated continuously by the following formula wd akt dh d akt u03c0 tan ue89e ue89e u03b1 2 the current winding ratio wd akt is compared continuously with the next winding ratio wd n 1 that is to succeed the particular prevailing winding stage since the cheese diameter d spakt increases continuously the current winding ratio wd akt correspondingly becomes constantly smaller once is attained a new winding ratio wd n 2 is calculated by the following formula thus beginning with an initial winding ratio wd 0 6 the value for the next winding ratio wd 1 is calculated as follows with the values for this exemplary embodiment wd is obtained by the formula wd 294 d akt u03c0 tan ue89e ue89e 15 ue89e ue89e u2022 at a cheese diameter d 0 the winding ratio wd 0 6 if the result of the continuous calculation of the winding ratio wd is then for the next graduation the winding ratio wd 2 is calculated fig3 is a graph depicting a curve representing the progressing course 24 of the winding ratio wd plotted over the cheese diameter d as fig3 shows the range within which the crossing angle u03b1 indicated at 25 varies during performance of the method of the present invention is considerably narrower than the fluctuation range shown in fig2 for the crossing angle u03b1 therein indicated at 23 in a corresponding manner the successive winding ratios wd and cheese diameters d.