rotating the napping cylinders have the same diameter as the napping cylinders the frusto conical pulleys 12 13 14 and 15 form part of a varying speed device for the regulation of the napping cylinders all four frusto conical pulleys 12 13 14 and 15 have a respective ratchet mechanism interposed between the inside of the pulley and the respective axle the ratchets associated with the pulleys 12 and 14 are adapted so that the pulleys are driven when the axles 16 and 17 both rotate in one direction namely the counter clockwise direction when the apparatus is considered in the orientation of fig1 the ratchets associated with the pulleys 13 and 15 are adapted so that the pulleys are driven when the axles 16 and 17 both rotate in the opposite direction namely the clockwise direction when the apparatus is considered in the orientation of fig1 each axle 16 and 17 is provided at one end thereof with a pulley which is securely fixed on the respective axle for rotation by means of endless belt 18 axles 16 and 17 always rotate at any instant in the same direction and at the same speed for greater clarity the screws which are conventional for.