Algebra Tiles Explorations of al-Khwārizmī ’s Equation Types: Modeling al-Khwārizmī’s More Complicated Problems – Example 15

Example 15: A problem leading to the case “squares and numbers = roots” [Rosen 1831, 51]

I have divided ten into two parts; I have multiplied the one by ten and the other by itself, and the products were the same; then the computation is this:

You multiply thing by ten; it is ten things. Then multiply ten less thing by itself; it is a hundred and a square less twenty things, which is equal to ten things.

Reduce this according to the rules, which I have above explained to you.

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