Imperial Roman in the context of "Roman Senate"

Ancient Greek mathematics refers to the history of mathematical ideas and texts in Ancient Greece during classical and late antiquity, mostly from the 5th century BC to the 6th century AD. Greek mathematicians lived in cities spread around the shores of the ancient Mediterranean, from Anatolia to Italy and North Africa, but were united by Greek culture and the Greek language. The development of mathematics as a theoretical discipline and the use of deductive reasoning in proofs is an important difference between Greek mathematics and those of preceding civilizations.

The early history of Greek mathematics is obscure, and traditional narratives of mathematical theorems found before the fifth century BC are regarded as later inventions. It is now generally accepted that treatises of deductive mathematics written in Greek began circulating around the mid-fifth century BC, but the earliest complete work on the subject is Euclid's Elements, written during the Hellenistic period. The works of renown mathematicians Archimedes and Apollonius, as well as of the astronomer Hipparchus, also belong to this period. In the Imperial Roman era, Ptolemy used trigonometry to determine the positions of stars in the sky, while Nicomachus and other ancient philosophers revived ancient number theory and harmonics. During late antiquity, Pappus of Alexandria wrote his Collection, summarizing the work of his predecessors, while Diophantus' Arithmetica dealt with the solution of arithmetic problems by way of pre-modern algebra. Later authors such as Theon of Alexandria, his daughter Hypatia, and Eutocius of Ascalon wrote commentaries on the authors making up the ancient Greek mathematical corpus.

The catacombs of Kom El Shoqafa (Arabic: مقابر كوم الشقافة, romanized: Maqābir Kūm al-Shuqāfah, lit. 'Mound of Shards') are an historical archaeological site located in Alexandria, Egypt, and are considered one of the Seven Wonders of the Middle Ages.

The necropolis consists of a series of Alexandrian tombs, statues and archaeological objects of the Pharaonic funerary cult with Hellenistic and early Imperial Roman influences. Due to the time period, many of the features of the catacombs of Kom El Shoqafa merge Roman, Greek and Egyptian cultural attributes; some statues are Egyptian in style, yet bear Roman clothes and hairstyles whilst other features share a similar style. A circular staircase, which was often used to transport deceased bodies down the middle of it, leads down into the tombs that were tunneled into the bedrock during the age of the Antonine emperors (2nd century CE). The facility was then used as a burial chamber from the 2nd century to the 4th century, before being rediscovered in 1900 when a donkey accidentally fell into the access shaft. To date, three sarcophagi have been found, along with other human and animal remains which were added later. It is believed that the catacombs were only intended for a single family, but it is unclear why the site was expanded in order to house numerous other individuals.