Liddell-Scott-Jones

προσμίγνυμι (prosmignumi) to mingle with ^G:V

προσμίγνυμι,

[Refs 5th c.BC+] also προσμίσγω (see. below): future -μείξω: aorist -έμειξα:— make to reach or touch, μακρὰ τείχη τῇ θαλάσσῃ [Refs 1st c.AD+] lead him to sure victory, [Refs 5th c.BC+]

__2 Arith., add, [Refs]
__3 mix in as well, Zos.Alch.p.142B.
__II intransitive, hold intercourse with, approach, ἐκείνῳ γ᾽ οὐδὲ προσμεῖξαι [Refs 5th c.BC+]; of things, ὅρος ὅρῳ προσμειγνύς [Refs 5th c.BC+]; ψυχὴ ἀρετῇ θείᾳ προς μείξασα having had communion with.. , [Refs]; προσέμειξεν.. τοὔπος ἡμῖν came suddenly upon us, [Refs 5th c.BC+]; also ἐπειδὴ προσέμειξεν ἐγγὺς τοῦ στρατεύματος came near.. , [Refs 5th c.BC+]
__II.2 in hostile sense, meet in battle, engage with, προσέμειξαν τοῖσι βαρβάροισι [Refs 5th c.BC+]: absolutely, engage, ὅπῃ προσμείξειαν [Refs 5th c.BC+]; [οἱ Σκύθαι] ἄποροι προσμίσγειν difficult to come to close quarters with, [Refs 5th c.BC+]
__II.3 come or go close up to.. , προσέμειξαν τῷ τείχει τῶν πολεμίων [Refs 5th c.BC+]; but πρὸς τὰς ἐντὸς [ναῦς] προσμεῖξαι form a junction with them, [Refs 5th c.BC+]
__II.4 προσέμειξαν (-ξε) τῇ Νάξῳ, τῇ Πελοποννήσῳ, τῇ Ἀσίῃ, put to shore at, arrived at, landed in, [Refs 5th c.BC+]