Euclid

Euclid (; ; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the Elements treatise, which established the foundations of geometry that largely dominated the field until the early 19th century. His system, now referred to as Euclidean geometry, involved innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and Theaetetus. With Archimedes and Apollonius of Perga, Euclid is generally considered among the greatest mathe

algorithm for computing greatest common divisors

conventional distance in mathematics and physics

lemma

Commutative ring with an Euclidean division

British mathematician; (1687-1768)

British civil servant, mathematician and classicist (1861–1940)

algorithm for computing the coefficients of Bézout's Identity

English mathematician (1820-1884)

theorem characterizing the even perfect numbers

relation ∼ such that, for every a, b, c, if a∼b and a∼c, then b∼c

fragment of the second book of the Elements by Euclid

natural topology induced by the Euclidean metric

maximally even rhythm

analysis of the complexity of Euclidean algorithm