The most familiar geometry is known to mathematicians as Euclidean geometry, also called "flat" or "parabolic" geometry, is named after the Greek mathematician Euclid. Euclid's text Elements is an early systematic treatment of this kind of geometry, based on axioms (or postulates). This is the kind of geometry familiar to most people, since it is the kind usually taught in high school.
Euclid's Elements is a mathematical treatise, consisting of 13 books, written by the Greek mathematician Euclid around 300 BC. The Elements is a collection of definitions, postulates, and proofs from Euclidean geometry, named after Euclid.
Euclid based his work on 23 definitions, such as point, line and surface, five postulates and five "common notions" (today they are called axioms).
Translations of this text in Latin were available in period, from the 12th Century.
- Robert Chester's Redation of Euclid's Elements, the so-Called Adelard II Version H. L. Busard (Editor), M. Folkerts (Editor) ISBN 0817627286