συμπληρωματικῶς
From LSJ
οὗτος μὲν ὁ πιθανώτερος τῶν λόγων εἴρηται, δεῖ δὲ καὶ τὸν ἧσσον πιθανόν, ἐπεί γε δὴ λέγεται, ῥηθῆναι → this is the most credible of the stories told; but I must relate the less credible tale also, since they tell it
English (LSJ)
Adv. A by way of supplement, Sch.Od.8.567ap.An.Par.3.457, Eust.adD.P.41.
