Why was it important to Menaechmus’ solution of the problem of two mean proportionals that the plane cutting the cone be at right angles to one of its generators?

Complete question below Given that we have no documents from the time of Greek mathematics the earliest manuscripts we have are medieval how can we be sure that the texts we have are actually what the authors wrote?Were the copyists who wrote the early medieval manuscripts simply concerned with reproducing the text faithfully, or is […]