Κατὰ ______ ἥκεις.
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Κατὰ θεὸν ἥκεις.______ ὀφθαλμός.
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Δίκης ὀφθαλμός.Αὐλητοῦ ______ ζῇς.
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Αὐλητοῦ βίον ζῇς.______ ὕεται.
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Ὄνος ὕεται.Σαρδώνιος ______.
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Σαρδώνιος γέλως.Κατὰ θεὸν ἥκεις.
You come by god.
This is a polite greeting to a guest, especially to an unexpected guest. In other words: it is by the will of a god that you have come here, like a divine version of the English phrase "welcome" (i.e. well-come). The phrase "κατὰ θεὸν" appears in the LSJ dictionary entry for κατά with the meaning of "by the favour of a god, etc."
Δίκης ὀφθαλμός.
The eye of justice.
There is a fuller form of this saying found in Plutarch, quoting an iambic line from an unidentified tragic poet: Ἔστι Δίκης ὀφθαλμός, ὅς τὰ πάνθ' ὁρᾷ, "There is an eye of justice that sees all things" (πάνθ' ὁρᾷ = πάντα ὁρᾷ). For more about Δίκη, the goddess of justice, see Wikipedia: Dike.
Αὐλητοῦ βίον ζῇς.
You are living the life of a flute player.
This referred to living a life of luxury, but at someone else's expense — because of the fact that these flute-players provided entertainment at banquets, where they were able to feast at someone else's table (see Erasmus). You can read more about this Greek instrument at Wikipedia: Aulos. From the Greek root of ζήω, we get English zoology.
Ὄνος ὕεται.
The donkey is being rained on.
This saying refers to someone who can't be bothered to do anything, no matter what is happening, just as a donkey stands there in the rain and doesn't bother to look for shelter.
Σαρδώνιος γέλως.
Sardonic laughter.
The Greek word Σαρδώνιος is a variant of Σαρδάνιος, referring to the island of Sardinia, called Σαρδώ in Greek; see Wikipedia: Sardinia. This phrase has survived in English, meaning laughter that is scornful or mocking. Different ancient authors offer different explanations for this saying. I like the one about a plant that grows in Sardinia which was so bitter that it twisted people's faces into a sneering grin. It might have been a poisonous form of hemlock, so that the people who ate the plant smiled themselves to death; details here: The Chilling Origins Of The Sardonic Laugh.
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Κατὰ θεὸν ἥκεις.______ ὀφθαλμός.
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Δίκης ὀφθαλμός.Αὐλητοῦ ______ ζῇς.
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Αὐλητοῦ βίον ζῇς.______ ὕεται.
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Ὄνος ὕεται.Σαρδώνιος ______.
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Σαρδώνιος γέλως.
And to finish up, here's a random proverb and a random LOLCat too: