Complete Extant Works of Hero of Alexandria, Vol. 3

A diagram presents four sets of nested bracketed diagrams. They illustrate the structural relationships and potential sequence of manuscript gatherings, labeled with numbers and letters:
Set 1: a, 62, 63, 64.
Set 2: 65, 66, 67, 68, 69, 70, 71, 72.
Set 3: 73, 74, 75, 76, 77, 78, 79, 80.
Set 4: 82, b, 83, 84, 85, 86, 87, 81.

Now the question must be taken up more deeply. In the dioptric commentary, there is a passage on p. 196, 2, which Venturi (l.l. p. 85) demonstrated with arguments taken from Hero's own booklet to be deformed by a large gap, so that the argument cannot be more tightly constrained. The points opposed to his most sagacious and truthful reasoning by Vincent are contained partly in Greek words incorrectly explained or freely changed, and partly in poorly concluded arguments. In the beginning, Vincent, although he correctly declared that the terms tumpanon drum/cylinder and tumpanion small drum, as they signify different parts of the dioptric instrument, should be distinguished and not permuted (l.l. p. 184, 22), nevertheless in chapter VIII, since in all codices it is written: epestrathō ho let the [tumpanon] be turned