1. Hermann shortens the argument in the way of excluding all the arguments connected with the lower par of the circle. He also shortens and rearranges the argument for the upper part. In the present record only the sentence “lam vero MK et KG duo latera reliquo longiora sunt” corresponds to the Greek, while the argument, in the beginning of this reord, on the length of sides of triangles contained in bigger triangles comes later in the Greek text, see below. Further, Hermann here, at the end of the sentence involving the point N, also refers to the argument later in the proposition that only two lines touching the periphery have the same length, se further below.