A plane that includes a plane body having an opening positioned in a bottom surface of the plane body; an angled support structure carried by the plane body; a blade supported by the angled support structure, the blade having an edge positionable to protrude from the opening; a blade adjuster operatively connected with the blade; and a lateral stabilizer is provided. The lateral stabilizer is selectively adjustable to prevent or permit a lateral movement of the blade and the lateral stabilizer is configured to prevent lateral movement of the blade without preventing longitudinal adjustability of the blade. When the lateral stabilizer is configured to prevent lateral movement of the blade, the lateral stabilizer does not engage the blade.