The square on a medial (straight line), being applied to a rational (straight line), produces as breadth a (straight line which is) rational, and incommensurable in length with the (straight line) to which it is applied. * Let $A$ be a medial (straight line), and $CB$ a rational (straight line), and let the rectangular area $BD$, equal to the (square) on $A$, have been applied to $BC$, producing $CD$ as breadth. * I say that $CD$ is rational, and incommensurable in length with $CB$.
(not yet contributed)
Proofs: 1
Proofs: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28