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
Reign of Cleopatra conflicting evidence that he publicly denied fathering him but privately accepted him as his son. Cleopatra, on the other hand, made repeated official declarations about Caesarion's parentage, with Caesar as the father. She also built a Caesareum temple near the harbor of Alexandria dedicated to his worship. Cleopatra VII and her nominal joint ruler Ptolemy XIV visited Rome sometime in late 46 BC, presumably without Caesarion. They were given lodging in Caesar's Villa within the Horti Caesaris. Like he did with their father Ptolemy XII, Julius Caesar awarded both Cleopatra VII and Ptolemy XIV with the legal status of 'friend