Greek inheritance and Plato’s influence in European thought

The subject of the essay is Greek inheritance and Plato’s influence in European thought. I think it’s worth mentioning that I am studying in Europe hence the subject regarding this region. I have attached the essay guidelines that I have been given by my professor, aswell as the material that the essay should be based on, which would be Books 8&9 from The Republic by Plato. There should be no introduction nor conclusion, as I am part of a team of 3 and I have the middle part. The essay should have a philosophical and sociological approach, and should not be too complicated, but well composed. Regarding the format of the essay, I don’t really know which one is which, but it’s in the guidelines pdf.