A surgical cutting tool guide (20, 320, 420, 520) includes a target arm (30) and primary and secondary sight arms (32A, 32B), which are pivotably attached to the target arm (30) so as to be rotatable with respect to one another about primary and secondary target pivot points (34A, 34B), respectively. A sight (40) includes a sight housing (42), which defines a sight passage (44) for aligning a surgical cutting tool (22) with a sight target axis (46), and is attached to the primary and the secondary sight arms (32A, 32B) such that the sight housing (42) and the primary and the secondary sight arms (32A, 32B), respectively, are rotatable with respect to each other about the primary and secondary sight pivot points (34A, 34B), respectively. The surgical cutting tool guide (20, 320, 420, 520) is arranged to automatically and non-electrically maintain the sight target axis (46) oriented to pass within an offset distance of a target point (60) over an entire range of angles over which the sight (40) directs the sight passage (44) toward the target point (60).