The square on a major (straight line) applied to a rational (straight line) produces as breadth a fourth binomial (straight line).^{1} * Let $AB$ be a major (straight line) having been divided at $C$, such that $AC$ is greater than $CB$, and (let) $DE$ (be) a rational (straight line). * And let the parallelogram $DF$, equal to the (square) on $AB$, have been applied to $DE$, producing $DG$ as breadth. * I say that $DG$ is a fourth binomial (straight line).
(not yet contributed)
Proofs: 1
Proofs: 1
In other words, the square of a major is a fourth binomial. See [Prop. 10.57] (translator's note). ↩