So I'm on book ten in Euclid's Elements.
On a third apotome, would the rectangles contained by the rational line set out and the annex/whole really be medial, considering the rational lines are not commensurable in square?
So basically this question is rather esoteric, considering it IS a very unused, error-ridden portion of the Elements, however I'm simply wondering if it is REQUIRED for non-square medial areas to have sides commensurable in square only.