Band saw apparatus is disclosed which includes cutting enhancement apparatus formed for tilting of the cutting stretch of the band saw blade to vary the force per unit area of the cutting edge of the blade on the workpiece. The cutting enhancement apparatus which tilts the blade at both guide assemblies is shown. The saw carriage is movably mounted to the remainder of the saw to be substantially free to rebound or move away from the workpiece during tilting of the blade to avoid digging in or shearing off of the blade teeth and to permit close spacing of the blade guides next to the workpiece. The saw includes a feed control system having both an orifice control circuit and a support force control circuit. A method is disclosed which is comprised of using the support force circuit to vary the rate of cutting during the cut to prevent overloading of the blade and/or stalling of the machine. Sensors feedback signals which adjust the support force circuit to control feeding.