Abstract: A fixture for reproducibly pivoting a workpiece about a specific point which lies beyond the physical confines of the fixture itself, such fixture being characterized by at least two platform members vertically stacked in horizontal juxtaposition and having a generally arcuate guide rail/guide track arrangement disposed therebetween. Such arcuate guide rail/guide track arrangement enables pivotal manipulation of the upper platform member with respect to the lower platform member about a pivot point which lies beyond the perimeter of either platform member, thereby permit precise convex and concave radius grinding of a workpiece. The workpiece is held on top of the upper platform member and there are provided additional means for precisely adjusting the lateral, front-to-back and angular position of the workpiece on the upper surface of the upper platform member. Additional platform members may be slidably disposed beneath the lower platform member so as to provide for additional adjustability of the fixture.