FIG. 1 is a perspective view of a handpiece housing for a surgical drill, reamer, sagittal saw or the like showing our new design, the broken lines showing a power tool support and trigger being for illustrative purposes only and forming no part of the claimed design;

FIG. 2 is an enlarged front elevational view thereof;

FIG. 3 is an enlarged rear elevational view thereof;

FIG. 4 is an enlarged left side elevational view thereof;

FIG. 5 is an enlarged top plan view thereof; and,

FIG. 6 is an enlarged bottom plan view thereof.