Abstract: An apparatus which can be attached or removed from a blade style putter as a teaching aid. The apparatus comprises a bracket member for engagement with such putter. The bracket member having a substantially horizontal portion and at least two substantially vertical portions engageable with each end of the substantially horizontal portion. There is a sphere member or a cone member. A portion of the sphere member or cone member is engageable with an end of the first one of the at least two substantially vertical portions of the bracket member. Another portion of the sphere member or cone member is engageable with a face of such putter while a radially opposed outer surface of the sphere member or cone member contacts a golf ball in a putting stroke. There is also a securing means engageable with a second substantially vertical portion of the bracket member and with a back side portion of such face of such putter for securing the bracket to such putter.

Abstract: A machine for cutting lengths of strip or tube from a moving length of strip or tube includes a carriage reciprocable in the direction of movement of the strip and mounting a cutter mechanism operable to sever the strip. The carriage is driven by a motor through a crank mechanism having a rotary input member. The motor speed is controlled so that during a substantial portion of one revolution of the input member the motor speed is constant and during the remaining portion of the one revolution the motor speed is controlled so that the linear speed of the carriage corresponds to that of the strip to be cut. During the latter period the motor speed is controlled in accordance with a plurality of secant values contained in a map.