If a rational (area) is applied to a rational (straight line) then it produces as breadth a (straight line which is) rational, and commensurable in length with the (straight line) to which it is applied. * For let the rational (area) $AC$ have been applied to the rational (straight line) $AB$, producing the (straight line) $BC$ as breadth. * I say that $BC$ is rational, and commensurable in length with $BA$.
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