Just for anyone coming to this who, like me, assumed that "IBM Cheese Cutter" was a nickname for some 1970s bit of computer hardware that hung off the side of an S/360.

This is a device for cutting big round "wheels" of cheese. It dates from the 1910s, and would have been used in retail outlets selling cheese. In those days cheese was sold wholesale in big "wheels": round blocks of cheese weighing maybe 70 or 80 lb. (High-end cheese is still sold this way, if you really want to buy that much of it).

A retail customer would ask the counter-clerk for 6 oz of Gorgonzola, and he would pull out one of these big wheels, probably with a segment already cut out for previous customers, and slice off 6 oz.

Problem: how to get exactly 6 oz first time. Customers don't want a couple of little chunks added to make up the weight, and slicing off chunks from what you cut to bring the weight back down is wasteful because nobody wants the scraps. Solution: this machine. It has a lever for setting the original weight of the wheel, and another for the weight the customer wants. A nifty bit of mechanical analogue computer underneath rotates the cheese by exactly the right amount.