Abstract: A reciprocal cam-powered razor in which the drive is effected through the use of multi-sided triangular section cams. Each cam has an odd number of cam faces and corresponding apices, beginning with a 3-face cam as of isosceles triangle of two equal length sides and with an apex in a normal or perpendicular line from a mid-length of the cam face. Other cams can be a 5-face or a 7-face and so on with odd numbers thereof. The inner sleeve of an inner and outer hair cutting sleeve head has a slot with longitudinally-spaced side edges against which apices of the respective cams work to reciprocate the inner sleeve in a multiple manner for but a single revolution of the drive shaft. Normal lines between each side and its apex will locate the axial center with which the cam will be co-aligned with drive axis of the handle body drive shaft.

Abstract: A turret lathe box cutting-tool adaptable for interchangeable right hand and left handed cutting of a rotating workpiece, including mechanism for synchronized movement of the cutting blade and of the piece-support rollers to and from predetermined-set positions before initiating cutting and subsequent to cutting but before withdrawing of the workpiece such that pressure of the blade and of the supporting rollers is relieved by withdrawal from the predetermined-set positions prior to the withdrawal of the cut workpiece thereby substantially eliminating any possibility of scarring of the cut workpiece before the moving axially of the blade and rollers away from the cut workpiece.