impede the mounting of a weft cutter or other weaving machine parts next to the fabric edge 3 fig2 shows a known embodiment which does not have the disadvantage of the embodiment of fig1 i e the support 4 is replaced by a support 10 which is situated in the middle of the temple 1 however this solution has the disadvantage that two stretching zones a and b are created which in the case of sensitive fabrics may lead to the formation of fabric lines above the support 10 in the fabric 2 in a warp direction the present invention concerns a fastening which does not have any of the disadvantages mentioned above fig3 shows the environment of the invention in the weaving machine the present invention concerns a fastening for temples 11 of the type which exerts a traction on the fabric edges 3 of the fabric 2 as is conventional as shown in fig4 and 5 such temples 11 have a cylindrical form whereby a number for example twenty of rings 12 are mounted on the temple recessed from the mantle surface and these rings are usually provided with needles 13 at their outer surface as indicated in fig6 the fabric 2 is guided over a gutter shaped fabric guide 15 a short distance from the stop bead up line 14 whereby the fabric is pressed by the temples 11 into the gutter shape by these temples 11 the above mentioned rings 12 are mounted such that on the one hand they can make an eccentric movement in relation to the actual mantle of the temple 11 such that the needles 13 are presented either more or less further from the temple 11 as a function of their place on.