A Word from Thrasymachus VIII

Χαίρετε!
In Thrasymachus VIII, I am curious why the dative of name, “ὀνόματι” is used. In this case the person is Αἱήτης. Is “ὀνόματι” in the dative because it is associated with him becoming king?

It looks like you were talking about chapter IX.

Some similar uses–

Xenophon: ἐστρατήγει δὲ αὐτῶν Σάμιος ὀνόματι Ἱππεύς, “Hippeus by name.”

LXX (Tobit): καὶ ἔστιν αὐτῷ θυγάτηρ μονογενὴς ὀνόματι Σαρρα, “Sarah by name”

LXX (4 Maccabees): πολλῶν δὲ συναρπασθέντων εἷς πρῶτος ἐκ τῆς ἀγέλης ὀνόματι Ελεαζαρος, “Eleazar by name”

Nuts. It is chapter IX around line 53. Sorry.

In the New Testament this ὀνόματι is used many times, for example:

Matthew 27:32 Ἐξερχόμενοι δὲ εὗρον ἄνθρωπον Κυρηναῖον, ὀνόματι Σίμωνα
Mark 5:22 Καὶ ἰδού, ἔρχεται εἷς τῶν ἀρχισυναγώγων, ὀνόματι Ἰάειρος
Luke 5:27 Καὶ μετὰ ταῦτα ἐξῆλθεν, καὶ ἐθεάσατο τελώνην, ὀνόματι Λευΐν
Luke 10:38 γυνὴ δέ τις ὀνόματι Μάρθα ὑπεδέξατο αὐτόν εἰς τὸν οἶκον αὑτῆς.
Acts 5:1 Ἀνὴρ δέ τις Ἀνανίας ὀνόματι