Herbert Weir Smyth, A Greek Grammar for Colleges

““πάντες μετεῖχον τῆς ἑορτῆς” all took part in the festival” X. A. 5.3.9, μετεδίδοσαν ἀλλήλοις ὧν (= τούτων ἃ) εἶχον ἕκαστοι they shared with each other what each had 4. 5. 6, ““τὸ ἀνθρώπινον γένος μετείληφεν ἀθανασία_ς” the human race has received a portion of immortality” P. L. 721b, ““σί_του κοινωνεῖν” to take a share of food” X. M. 2.6.22, ““δικαιοσύνης οὐδὲν ὑ_μῖν προσήκει” you have no concern in righteous dealing” X. H. 2.4.40, ““πολι_τεία_, ἐν ᾗ πένησιν οὐ μέτεστιν ἀρχῆς” a form of government in which the poor have no part in the management of affairs” P. R. 550c. So with μεταλαγχάνειν get a share (along with somebody else), συναίρεσθαι and κοινοῦσθαι take part in, μεταιτεῖν and μεταποιεῖσθαι demand a share in.