Abstract: A method of and apparatus for positioning and supporting any of several different elongated workpieces of circular, substantially square, or substantially non-square rectangular cross-sectional configuration so that a central workpiece axis is located along the same axis for any one of said workpieces includes a tailstock fixture for supporting one end of the workpiece which includes a frustoconical cavity that extends coaxial with the axis for receiving the one end of the workpiece, and a headstock fixture for supporting a second end of the workpiece opposite the first end which includes a generally cylindrical cavity extending coaxial with the axis and four equiangularly spaced workpiece engaging blades within the cylindrical cavity for engaging and supporting the second workpiece end.