Steady rest for—under operating conditions—supporting central workpiece regions, in particular bearing points on shaft parts, in particular crankshafts, during the machining of central and/or eccentric workpiece regions, which is brought to the workpiece from a retracted to a supporting position so as to grind the workpiece and has at least two supporting parts that can be advanced to the workpiece region at respectively separated peripheral regions, with the workpiece along with its workpiece region being held in the supporting position, characterized in that the supporting parts are disposed so as to form an opening angle with respect to each other at each lateral flank of a prism that opens in a fork-like manner at a steady rest arm, in a fixed position with respect to one another and with respect to the steady rest arm and in the supporting position sub-centric to the longitudinal axis of the workpiece region, that a bisector formed between both supporting parts manifests a fixed acute angle with respect to the perpendicular running through the longitudinal axis of the workpiece region and that a CNC-controlled infeed to the workpiece region takes place along this bisector.