This is a list of topics named after the
Greek mathematician
Greek mathematics refers to mathematics texts and ideas stemming from the Archaic through the Hellenistic and Roman periods, mostly extant from the 7th century BC to the 4th century AD, around the shores of the Eastern Mediterranean. Greek mathem ...
Euclid.
Mathematics
Number theory
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Euclidean algorithm
In mathematics, the Euclidean algorithm,Some widely used textbooks, such as I. N. Herstein's ''Topics in Algebra'' and Serge Lang's ''Algebra'', use the term "Euclidean algorithm" to refer to Euclidean division or Euclid's algorithm, is an effi ...
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Extended Euclidean algorithm
In arithmetic and computer programming, the extended Euclidean algorithm is an extension to the Euclidean algorithm, and computes, in addition to the greatest common divisor (gcd) of integers ''a'' and ''b'', also the coefficients of Bézout's ide ...
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Euclidean division
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Euclid–Euler theorem
The Euclid–Euler theorem is a theorem in number theory that relates perfect numbers to Mersenne primes. It states that an even number is perfect if and only if it has the form , where is a prime number. The theorem is named after mathematician ...
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Euclid number In mathematics, Euclid numbers are integers of the form , where ''p'n''# is the ''n''th primorial, i.e. the product of the first ''n'' prime numbers. They are named after the ancient Greek mathematician Euclid, in connection with Euclid's theor ...
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Euclid's lemma
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Euclid's orchard
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Euclid–Mullin sequence The Euclid–Mullin sequence is an infinite sequence of distinct prime numbers, in which each element is the least prime factor of one plus the product of all earlier elements. They are named after the ancient Greek mathematician Euclid, because the ...
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Euclid's theorem
Algebra
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Euclidean domain
In mathematics, more specifically in ring theory, a Euclidean domain (also called a Euclidean ring) is an integral domain that can be endowed with a Euclidean function which allows a suitable generalization of the Euclidean division of integers. ...
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Euclidean field
Geometry
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Euclidean group
In mathematics, a Euclidean group is the group of (Euclidean) isometries of a Euclidean space \mathbb^n; that is, the transformations of that space that preserve the Euclidean distance between any two points (also called Euclidean transformations). ...
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Euclidean geometry
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Non-Euclidean geometry
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Euclid's formula
A Pythagorean triple consists of three positive integers , , and , such that . Such a triple is commonly written , and a well-known example is . If is a Pythagorean triple, then so is for any positive integer . A primitive Pythagorean triple is ...
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Euclidean distance
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Euclidean distance matrix In mathematics, a Euclidean distance matrix is an matrix representing the spacing of a set of points in Euclidean space.
For points x_1,x_2,\ldots,x_n in -dimensional space , the elements of their Euclidean distance matrix are given by squares o ...
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Euclidean space
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Pseudo-Euclidean space
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Euclidean vector
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Euclidean relation
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Euclidean topology
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Euclid's fifth postulate
In geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's ''Elements'', is a distinctive axiom in Euclidean geometry. It states that, in two-dimensional geometry:
''If a line segme ...
Other
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Euclid's Elements
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Euclid's Optics
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Euclid (spacecraft)
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Euclid, Ohio
Euclid, Minnesota
Euclid is an unincorporated community in Polk County, Minnesota, United States. It is situated on U.S. Route 75, north of Crookston. Euclid has a post office with ZIP code 56722.
History
A post office called Euclid has been in operation since ...
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Euclidean rhythm
The Euclidean rhythm in music was discovered by Godfried Toussaint in 2004 and is described in a 2005 paper "The Euclidean Algorithm Generates Traditional Musical Rhythms". a term
coined by
Godfried Toussaint
Godfried Theodore Patrick Toussaint (1944 – July 2019) was a Canadian computer scientist, a professor of computer science, and the head of the Computer Science Program at New York University Abu Dhabi (NYUAD) in Abu Dhabi, United Arab Emirates. ...
in his 2005 paper "The Euclidean Algorithm Generates Traditional Musical Rhythms"
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Euclid (computer program) Euclid is a CAD software which has been developed since 1970. Initially written by Jean Marc Brun and Michel Théron at Laboratoire d'informatique pour la mécanique et les sciences de l'ingénieur (LIMSI) for modelling fluid flow, they founded the ...
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Euclid (programming language)
* Euclid, a supercomputer built by the fictional character Maximillian Cohen in the 1998 film
π
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Euclid Creek
Euclid Creek is a long stream located in Cuyahoga and Lake counties in the state of Ohio in the United States. The long main branch runs from the Euclid Creek Reservation of the Cleveland Metroparks to Lake Erie. The west (also known as south) ...
* Euclid Avenue, a street in
Manassas, Virginia
* Euclid Avenue, a street in
Arlington Heights, Illinois
Arlington Heights is a municipality in Cook County with a small portion in Lake County in the U.S. state of Illinois. A suburb of Chicago, it lies about northwest of the city's downtown. Per the 2020 Census, the population was 77,676. Per the ...
* Euclid Avenue, a street in
Miami Beach, Florida
Miami Beach is a coastal resort city in Miami-Dade County, Florida. It was incorporated on March 26, 1915. The municipality is located on natural and artificial island, man-made barrier islands between the Atlantic Ocean and Biscayne Bay, the ...
* Euclid Avenue, a street in
Des Moines, Iowa
* Euclid St, a street in
Orange County, California
* Euclid, an object designation within the SCP Foundation stories, denoting an anomaly that is difficult, but fairly straightforward to contain.
* Mount Euclid in New Zealand's
Paparoa Range was named after him in 1970 by the
Department of Scientific and Industrial Research Department of Scientific and Industrial Research, abbreviated DSIR was the name of several British Empire organisations founded after the 1923 Imperial Conference to foster intra-Empire trade and development.
* Department of Scientific and Industria ...
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Euclidate
References
{{Reflist
Euclid
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