διαιτήμασί τε χ?ήσομαι ?π᾽ ὠφελείῃ καμνόντων κατὰ δ?ναμιν καὶ κ?ίσιν ?μήν, ?πὶ δηλήσει δὲ καὶ ἀδικίῃ εἴ?ξειν.
How is the future infinitive εἴ?ξειν functioning here?
διαιτήμασί τε χ?ήσομαι ?π᾽ ὠφελείῃ καμνόντων κατὰ δ?ναμιν καὶ κ?ίσιν ?μήν, ?πὶ δηλήσει δὲ καὶ ἀδικίῃ εἴ?ξειν.
How is the future infinitive εἴ?ξειν functioning here?
Looking at the whole oath, I would say it goes with the original ὄμνυμι (or with ὄμνυμι implied), like the future infinitives before it. It seems kind of strange that it would have a series of future infinitives, then a single future indicative, then an infinitive, and then indicatives, but it does make sense.
At first, I also thought it might be an infinitive of purpose but checking the usual grammars there weren’t any examples with the future infinitive and I’m not really sure it’s possible (or at least common) in this context
I was thinking the same thing about an implied verb of swearing, but wasn’t sure because, like u said, there’s a future indicative before it, and because there are no future infinitives that follow it.
Another problem I had was how to take the prepositional phrases. ει?γειν typically is followed by “apo” or “ek;” I did not see any instance of “epi” in LSJ. how would you translate them? “and (I swear) I will exclude the regimens for harm and injustice.”?