Not so fast, Matteos. You are not moving on, yet.
I would like to take a different approach to your query.
Have you ever played strip poker? (Bear with me, moderators; I am not as perverted as you may think.)
If you have, then follow my logic here. Let's strip the sentence down to its bear necessities: subject + verb +/- direct object. In other words, we are going to remove all the modifiers. Therefore, we now have...
[face=SPIonic]ta\ bibli/a...e)pai/deue tou\j...a)nqrw/pouj,...[/face]
"The books (subject noun phrase) were educating (finite verb) the men (direct object noun phrase)."
Remember, Matteos, that neuter plural nouns
take singular verbs
Now, let's add some "clothing" to the sentence, i.e., the modifiers (underlined), to make it more meaningful.
[face=SPIonic]ta\ bibli/a ta\ para\ tw=n ce/nwn[/face]
-->Here we have an adjectival prepositional phrase in apposition (or in the 2nd attributive position, as Paul would say) modifying the subject. (Remember, in Greek the prepositional phrase, like in English, can also function as an adjectival modifier: The man in the brothel...
-->The finite verb of the sentence: 3rd person, singular (because the subject is neuter plural), imperfect, indicative, active.
[face=SPIonic]tou\j e)n th=| a)gora=| a)nqrw/pouj,[/face]
-->Here we have an adjectival prepositional phrase in attributive position (between the article and the noun) modifying the direct object.
[face=SPIonic]tou\j (Omh/rou fi/louj.[/face]
-->Here we have a noun phrase in apposition modifying [face=SPIonic]tou\j...a)nqrw/pouj[/face]
, i.e., the men (in the market place), the friends of Homer.
Make note, Matteos, that although the sentence comes across as inflated, Hanson is just trying to emphasize the material learned.
I hope this helps. If I really screwed up, I expect the Greek language police -- Paul, Chad and Annis -- to reprimand me forthwith!
Now, I shall leave you to translate the sentence in polished form.
As for me, I shall now click to the Open Board to take on the forces of evil, aka "the republicans."