I'm translating into English the cheiroballistra text written by (Pseudo-)Heron in (Koine) Greek around ~50-100AD. I'm publishing the translation under a free Creative Commons License in the Greek and Roman artillery wiki on this page. The full original text is available in public domain, for example in this publication available on Google Books:
- Wescher, C. 1867. Poliocétique des Grecs. Traités Théoretiques. Récits Historiques. Paris.
Γεγονέτωσαν κανόνες δύο πελεχινωτοὶ οἱ ΑΒ ΓΔ, ἐν τετραγώνοις πελεχίνοις, ὧν θῆλυς μὲν ἔσω ὁ ΑΒ, ἄρρην δὲ ὁ ΓΔ.
I translated this as "Make two dovetailed beams, ΑΒ and ΓΔ, with four-sided dovetails, of which ΑΒ should be female and ΓΔ male". In practice this translation should be adequate, but I can't wrap my head around the two words marked in bold. Γεγονέτωσαν looks like some second perfect form of γίγνομαι / γίνομαι, base form of which is γέγονα. However, I'm confused about the rest of the word. Where does the -έτωσαν come from? I couldn't decipher the meaning of ὧν, either, although it does not seem important for understanding the sentence. Any clues?
PS. If this is not the proper board (or even forum) to ask this kind of questions, please let me know.