A friend of mine, whom ordinarily I trust, has said that the Ancient Greeks had a device, something with sliding rods on hinges, that let them calculate cube roots.
(Not the Antikythera mechanism, apparently.)
The trouble is that he can’t give me a good reference to it, and I’ve Googled madly and failed to find anything. (I am, alas, a Google dunce.)
Does anyone have any idea what this mechanism might be?