Transmission of the Greek Classics on music ("De institutione musica libri quinque", unfinished) contributed to medieval education. "De arithmetica", begins with modular arithmetic, such as even and odd, evenly even, evenly odd, and oddly even. He then turns to unpredicted complexity by categorizing numbers and parts of numbers. His translations of Euclid on geometry and Ptolemy on astronomy, if they were completed, no longer survive. Boethius made Latin translations of Aristotle's "De interpretation" and "Categories" with commentaries. These were widely used during the Middle Ages. In the Western Provinces (what today is considered the Western Europe's heartland), the collapsing Roman empire lost many Greek manuscripts
Attic Greek used for the language of later writers following conventionally the accession in 285 BC of Greek-speaking Ptolemy II to the throne of the Kingdom of Egypt. Ruling from Alexandria, Ptolemy launched the Alexandrian period, during which the city of Alexandria and its expatriate Greek-medium scholars flourished. The original range of the spoken Attic dialect included Attica and a number of the central Cyclades islands; the closely related Ionic was also spoken along the western and northwestern coasts of Asia Minor in modern Turkey, in Chalcidice, Thrace, Euboea, and in some colonies of Magna Graecia. Eventually, the texts of literary Attic