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Accusative: degree/measure as satellite

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Meaning

ἀμφὶ τὴν κάμινον ἔχω τὰ πολλά

‘Usually I occupy myself with my furnace.’ (Luc. Prom. 5)

The accusative expresses a degree or measure as a satellite.

Lexical usage

Expressions of degree or measure are often almost adverbial: (τὴν) ἀρχήν οὐ/μή ‘not at all, not in the least’, τὸ ἐλάχιστον ‘at least’, μέγα, μεγάλα ‘to a large extent’, πολύ, πολλά ‘very’ τὸ πολύ, τὰ πολλά ‘largely, for the greater part’.
Pronouns are also frequently used in the accusative: οὐδέν or μηδέν ‘by no means’, ὅσον, ὅσα ‘as many as’, τι ‘somewhat, to some extent’, τοσοῦτον, τοσαῦτα ‘to that extent’. With comparatives the dative is more common.

Example Sentences: 

τοσοῦτόν γ’ οἶδα κἀμαυτὴν, ὅτι ἀλγῶ

Indeed, I know myself so well that I suffer.

ἁλὴς δὲ ἐὼν ὁ ναυτικὸς στρατὸς δυσμεταχείριστός τε αὐτοῖσι γίνεται, καὶ ἀρχὴν οὐκ ἀξιόμαχοί τοι ἔσονται

When the navy is gathered it is invincible to them (= the enemy), and they will by no means be able to give battle.

Δάματερ μέγα χαῖρε πολύτροφε πουλυμέδιμνε

Many greetings, Demetrius, well-fed and possessing many medimni. ֍

ἀλλ’ οὐδέν τι χαλεποῦ πράγματος ἐπιθυμεῖς, ὦ Ἀλκιβιάδη, φάναι τὸν Περικλέα, βουλόμενος γνῶναι τί ἐστι νόμος

Well, Alcibiades, Pericles said, you do not desire a very difficult matter, if you wish to know what a law is.