Non-Euclidean geometry that are both perpendicular to a third line: Euclidean geometry, named after the Greek mathematician Euclid, includes some of the oldest known mathematics, and geometries that deviated from this were not widely accepted as legitimate until the 19th century. The debate that eventually led to the discovery of the non-Euclidean geometries began almost as soon as Euclid's work "Elements" was written. In the "Elements", Euclid began with a limited number of assumptions (23 definitions, five common notions, and five postulates) and sought to prove all the other results (propositions) in the work. The most notorious of the postulates is often
Transmission of the Greek Classics Transmission of the Greek Classics The transmission of the Greek Classics to "Latin" Western Europe during the Middle Ages was a key factor in the development of intellectual life in Western Europe. Interest in Greek texts and their availability was scarce in the Latin West during the earlier Middle Ages, but as traffic to the East increased so did Western scholarship. Classical Greek philosophy consisted of various original works ranging from those from Ancient Greece (e.g. Aristotle) to those Greco-Roman scholars in the classical Roman Empire (e.g. Ptolemy). Though these works were originally written in Greek, for centuries the language