Abstract: The wafering machine is provided with a two-piece housing for mounting the spindle of the saw blade. One housing part is mounted on a fixed axis of a support shaft while the other part is pivotally mounted relative to the first housing part about a pivot axis perpendicular to the support shaft axis. Locking screws are provided to fix the two housing parts together while adjustment blocks with adjusting screws are provided to carry out a rotational adjustment of the rotatable housing part. Rotation of the housing part causes the axis of the spindle to be brought into alignment with the fixed axis of the pivotal cutting motion such as to maintain the plane of the cutting portion of the saw blade parallel to the pivotal cutting motion.