Abstract: A headbox apparatus is disclosed for ejecting stock onto a forming wire of a papermaking machine. The apparatus includes a header for the flow therethrough of the stock. The header finds an inlet and an outlet, the outlet having an upstream and a downstream end. The header is tapered in a cross-machine direction from the upstream end towards the downstream end such that the flow of stock through the outlet remains substantially constant from the upstream to the downstream end. A distributor is disposed immediately downstream relative to the outlet and in fluid communication therewith. The distributor includes a plurality of distributor tubes which are disposed parallel relative to each other. Each of the tubes has an upstream extremity such that the stock flows from the outlet through each of the upstream extremities. Each of the extremities defines an upstream edge and a downstream edge such that for each tube, the upstream edge is nearer than the downstream edge to the upstream end of the outlet.