History of geometry lost. He was brought to the university at Alexandria by Ptolemy I, King of Egypt. "The Elements" began with definitions of terms, fundamental geometric principles (called "axioms" or "postulates"), and general quantitative principles (called "common notions") from which all the rest of geometry could be logically deduced. Following are his five axioms, somewhat paraphrased to make the English easier to read. Concepts, that are now understood as algebra, were expressed geometrically by Euclid, a method referred to as Greek geometric algebra. Archimedes (287-212 BC), of Syracuse, Sicily, when it was a Greek city-state, is often considered to be the greatest
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