The rotating shaped blade for cutting slides from a product strand is only configured over a portion of its outer edge as a circular segment that extends about the rotation axis and which represents the cutting edge so that on the one hand side the cutting edge has a constant width radial distance from a circular segment shaped functional edge of the stop plate over an entire extension of the circular segment, and on the other hand side immediately after releasing the strand cross section by the blade a forward movement of the product strand can be performed up to the stop plate until the radial front edge of the blade has reached the strand cross section again.