Ἀεὶ ὁ θεὸς γεωμετρεῖ.
God is always doing geometry.
Plutarch attributes the words to Plato, who was a great believer in geometry, as you can learn at Wikipedia: Plato - The Forms. Even more fascinating is the fact that the words have been elaborated into an expanded statement, Ἀεὶ ὁ θεὸς ὁ μέγας γεωμετρεῖ τὸ σύμπαν, "Always the great god is doing geometry on the universe," which is an encoding of the digits of pi, based on the number of letters in each word: 3.1415926. (I found this nifty mnemonic widely shared online but without attribution; if anyone knows more about its source, let me know!) And, of course, we get English geometry from Greek γεωμετρία, literally "earth-measuring."
Ζεῖ χύτρα, ζῇ φιλία.
(While) the pot is boiling, friendship lives.
The idea is that when there is good food to share, it's easy to find and keep friends. Note the sound-play between the verbs ζεῖ and ζῇ. There is also a related but rather different saying cited by Erasmus: χύτρης φιλία, "a friendship of the pot," which means a friendship that exists only because of good food, convenience, opportunity, etc., as opposed to true friendship which persists even in adversity. From the Greek φιλία, we get all the -phile words in English, such as... bibliophile!
Εἰς θεῶν ὦτα ἤλθεν.
It has reached the ears of the gods.
As Erasmus explains, this saying refers to some kind of criminal deed or shameful secret that, despite being concealed from mankind, has reached the ears of the gods.
Γαλῇ στέαρ.
Fat for a weasel.
This is a saying about giving someone exactly what they want; a weasel will gladly eat the fat that you feed her. For an opposite sort of saying, where you are offering something to someone who doesn't appreciate it, see the previous post about wine for frogs: Βατράχοις οἰνοχοεῖς.
Πρόνοιαν τίμα.
Honor foresight.
The Greek πρόνοια is from the verb προνοέω. You can see a wide range of νοέω derivatives at Wiktionary. This is another one of the maxims attributed by Stobaeus to the Seven Sages.
And to finish up, here's a random proverb and a random LOLCat too:
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