Passage 7.1.7
δυνηθέντων δὲ ἔν τε Ἄργει καὶ Λακεδαίμονι τῶν Ἀχαιοῦ παίδων, τοὺς ἀνθρώπους τοὺς ἐνταῦθα ἐξενίκησεν Ἀχαιοὺς κληθῆναι· τοῦτο μέν σφισιν ὄνομα ἦν ἐν κοινῷ, Δαναοὶ δὲ Ἀργείοις ἰδίᾳ. τότε δὲ ὑπὸ Δωριέων ἐκπεπτωκότες ἔκ τε Ἄργους καὶ ἐκ Λακεδαίμονος ἐπεκηρυκεύοντο Ἴωσιν αὐτοί τε καὶ ὁ βασιλεὺς Τισαμενὸς ὁ Ὀρέστου γενέσθαι σύνοικοί σφισιν ἄνευ πολέμου· τῶν δὲ Ἰώνων τοὺς βασιλέας ὑπῄει δέος, μὴ Ἀχαιῶν ἀναμιχθέντων αὐτοῖς Τισαμενὸν ἐν κοινῷ βασιλέα ἕλωνται κατά τε ἀνδραγαθίαν καὶ γένους δόξαν.
When the sons of Achaeus prevailed in Argos and Lacedaemon, the people living there came to be called Achaeans. This was their common name, though the Argives also kept the special name of Danaans. Later, driven out from Argos and Lacedaemon by the Dorians, they and their king, Tisamenus, son of Orestes, sent envoys to the Ionians, asking that they might be allowed to settle among them peacefully. But fear seized the kings of the Ionians, lest, if the Achaeans were admitted among them, the Ionians might choose Tisamenus as their common king because of his bravery and illustrious ancestry.