# Difference between revisions of "Euclid"

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− | + | '''Euclid''' (also referred to as '''Euclid of Alexandria''') (Greek: Εὐκλείδης) (c. 325–c. 265 BC) was a Greek mathematician who lived in Alexandria in Hellenistic Egypt, and almost certainly during the reign of Ptolemy I (323 BC–283 BC), is often considered to be the "father of [[geometry]]". Very little biographical information is known about Euclid. | |

− | '''Euclid''' (also referred to as '''Euclid of Alexandria''') (Greek: Εὐκλείδης) (c. 325–c. 265 BC) | + | |

+ | ==Euclid's Elements== | ||

+ | {{main|Euclid's Elements}} | ||

+ | Euclid's most popular work, [[Euclid's Elements|Elements]], is thought to be one of the most successful textbooks in the history of [[mathematics]]. It is divided into thirteen volumes, each consisting of "common notions" (common [[arithmetic]]al [[axiom]]s), [[postulate]]s ([[geometry|geometrical]] axioms), and "propositions", or theorems. Several propositions in fact should have been either common notions or postulates, as some of Euclid's methods of proof were faulty. | ||

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There are many results still attributed to or named after Euclid in use today. They include: | There are many results still attributed to or named after Euclid in use today. They include: | ||

− | *[[Euclid's lemma]] | + | *The most known type of geometry is known as Euclidean Geometry. |

− | *[[Euclidean Division Algorithm]] | + | *[[Euclid's lemma]] |

+ | *[[Euclidean Division Algorithm]] | ||

*[[Euclid's proof on the infinitude of primes]] | *[[Euclid's proof on the infinitude of primes]] | ||

## Latest revision as of 21:21, 1 December 2020

**Euclid** (also referred to as **Euclid of Alexandria**) (Greek: Εὐκλείδης) (c. 325–c. 265 BC) was a Greek mathematician who lived in Alexandria in Hellenistic Egypt, and almost certainly during the reign of Ptolemy I (323 BC–283 BC), is often considered to be the "father of geometry". Very little biographical information is known about Euclid.

## Euclid's Elements

*Main article: Euclid's Elements*

Euclid's most popular work, Elements, is thought to be one of the most successful textbooks in the history of mathematics. It is divided into thirteen volumes, each consisting of "common notions" (common arithmetical axioms), postulates (geometrical axioms), and "propositions", or theorems. Several propositions in fact should have been either common notions or postulates, as some of Euclid's methods of proof were faulty.

## Results Attributed to Euclid

There are many results still attributed to or named after Euclid in use today. They include:

- The most known type of geometry is known as Euclidean Geometry.
- Euclid's lemma
- Euclidean Division Algorithm
- Euclid's proof on the infinitude of primes

*This article is a stub. Help us out by expanding it.*