The mesolabium of Eratosthenes to find cube roots. (This will find cube roots of numbers between 0 and 1.)

Move point D up and down using the mouse until the length of DI is the desired value. Then use the mouse to move triangle QSH back and forth and triangle UTI back and forth until points A, B, C, and D are all on the same line. Then the length of BG will be the cube root of the length of DI.

(This is based on pp.184-185 of David Burton, The History of Mathematics: An Introduction, Seventh Edition, 2011, McGraw-Hill.)