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amounts to twenty?[1]” the answer is this: If you multiply it by itself it will be five: it is therefore the root of five.
If somebody ask you for the amount of a square-root,[2] which when multiplied by its third amounts to ten,[3] the solution is, that when multiplied by itself it will amount to thirty; and it is consequently the root of thirty.
(39) If the question be: “To find a quantity[2], which when multiplied by four times itself, gives one-third of the first quantity as product,”[4] the solution is, that if you multiply it by twelve times itself, the quantity itself must re-appear: it is the moiety of one moiety of one-third.
If the question be: “A square, which when multiplied by its root gives three times the original square as product,”[5] then the solution is that if you multiply the root by one-third of the square, the original square is