Abstract: A machine device and method for use thereof provides uniform, precision machined chamfers upon pieces of non-uniform shape. The device includes a longitudinal base for supporting and longitudinal fixing thereon a flat, flexible blank having opposing longitudinal edges at least one of which is non-linear and to be chamfered. A longitudinal platform provides a non-planar surface with which to clamp the blank against an opposing corresponding non-planar lower clamping surface, provided upon the longitudinal base, so as to flexibly deform the blank such that the non-linear longitudinal edge of the blank extends by a substantially equal distance at each point thereon from a planar machining path extending along the non-linear longitudinal edge of the clamped blank. A machine cutting device passes a straight-edged cutting tool along a planar cutting path for uniform chamferring of the non-linear edge of the blank.