Page:The Algebra of Mohammed Ben Musa (1831).djvu/70

 amounts to twenty? ” 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, which when multiplied by its third amounts to ten, the solution is, that when multiplied by itself it will amount to thirty; and it is consequently the root of thirty.

If the question be: “To find a quantity, which when multiplied by four times itself, gives one-third of the first quantity as product,” 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,” then the solution is that if you multiply the root by one-third of the square, the original square is