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Prepositions with the accusative: cause
διὰ γυναικῶν ὕβρεις πολλαὶ τυραννίδες ἀπολώλασιν.
‘Through the outrageous behaviour of women many tyrannies have been overthrown.’ (Aristot. Pol. 5.1314b)
The preposition διά with the accusative signals a cause.
Less frequently one also finds ἀμφί, κατά, παρά, περί and πρός.
‘because of’, ‘on the basis of’, ‘thanks to’, ‘in the light of’
Ἀριστοτέλην δὲ θαυμάζων ἐν ἀρχῇ καὶ ἀγαπῶν οὐχ ἧττον, ὡς αὐτὸς ἔλεγε, τοῦ πατρός, ὡς δι᾿ ἐκεῖνον μὲν ζῶν, διὰ τοῦτον δὲ καλῶς ζῶν
Aristotle he admired from the start and loved - as he said himself - no less than his father: it was thanks to the former than he lived, and thanks to the latter that he lived well.