διαγωνίζομαι
From LSJ
προγράψαντες οὖν τά τε θεωρήματα καὶ τὰ ἐπιτάγματα τὰ χρεῖαν ἔχοντα εἰς τὰς ἀποδείξιας αὐτῶν μετὰ ταῦτα γραψοῦμές τοι τὰ προκείμενα → having therefore written at the beginning the theorems and the postulates that are necessary for their proofs, we will then write out for you the propositions
English (LSJ)
A contend, struggle against, τινί, πρός τινα, X.Mem.3.9.2, Cyr.1.6.26; ταῦτα δ. πρὸς ἀλλήλους ib. 1.2.12; τῷ Διὶ ὑπὲρ εὐδαιμονίας Epicur.Fr.602; ὑπὲρ τῆς ἀρχῆς D.H. 3.17; περί τινος Luc.VH2.8: abs., μάχῃ δ. Th.5.10; λόγῳ δ. Pl. Grg.456b, cf. 464e, D.7.8; finish a contest, of the Chorus, X.HG6.4.16; but, decide a contest, περί τινος Aeschin.3.132:—Pass., διηγώνισται Plu.2.556e; πράξεις διαγωνισθεῖσαι Socr.Ep.30.9, etc.
