Mathematics

• Euclidean algorithm
  Euclidean algorithm
  In mathematics, the Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, also known as the greatest common factor or highest common factor...
  
  
  • Extended Euclidean algorithm
    Extended Euclidean algorithm
    The extended Euclidean algorithm is an extension to the Euclidean algorithm. Besides finding the greatest common divisor of integers a and b, as the Euclidean algorithm does, it also finds integers x and y that satisfy Bézout's identityThe extended Euclidean algorithm is particularly useful when a...
    
    
• Euclid number
  Euclid number
  In mathematics, Euclid numbers are integers of the form En = pn# + 1, where pn# is the primorial of pn which is the nth prime. They are named after the ancient Greek mathematician Euclid....
  
  
• Euclidean geometry
  Euclidean geometry
  Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions from these...
  
  
• Euclid's lemma
  Euclid's lemma
  In mathematics, Euclid's lemma is an important lemma regarding divisibility and prime numbers. In its simplest form, the lemma states that a prime number that divides a product of two integers must divide one of the two integers...
  
  
• Euclid's orchard
  Euclid's orchard
  In mathematics Euclid's orchard is an array of one-dimensional trees of unit height planted at the lattice points in one quadrant of a square lattice...
  
  
• Euclid–Mullin sequence
• Euclid's formula
• Euclidean distance
  Euclidean distance
  In mathematics, the Euclidean distance or Euclidean metric is the "ordinary" distance between two points that one would measure with a ruler, and is given by the Pythagorean formula. By using this formula as distance, Euclidean space becomes a metric space...
  
  
• Euclidean vector
• Non-Euclidean geometry
  Non-Euclidean geometry
  Non-Euclidean geometry is the term used to refer to two specific geometries which are, loosely speaking, obtained by negating the Euclidean parallel postulate, namely hyperbolic and elliptic geometry. This is one term which, for historical reasons, has a meaning in mathematics which is much...
  
  
• Euclidean domain
  Euclidean domain
  In mathematics, more specifically in abstract algebra and ring theory, a Euclidean domain is a ring that can be endowed with a certain structure – namely a Euclidean function, to be described in detail below – which allows a suitable generalization of the Euclidean algorithm...
  
  
• Euclidean field
  Euclidean field
  In mathematics, a Euclidean field is an ordered field K for which every non-negative element is a square: that is, x ≥ 0 in K implies that x = y2 for some y in K.-Properties:...
  
  
• Euclidean relation
  Euclidean relation
  In mathematics, Euclidean relations are a class of binary relations that satisfy a weakened form of transitivity that formalizes Euclid's "Common Notion 1" in The Elements: things which equal the same thing also equal one another.-Definition:...
  
  
• Euclidean distance
  Euclidean distance
  In mathematics, the Euclidean distance or Euclidean metric is the "ordinary" distance between two points that one would measure with a ruler, and is given by the Pythagorean formula. By using this formula as distance, Euclidean space becomes a metric space...
  
  

Other

• Euclid (spacecraft)
  Euclid (spacecraft)
  Euclid is a planned space telescope, an M-class mission of the ESA Cosmic Vision 2020-2025, planned to be launched in 2019...
  
  
• Euclid, Ohio
  Euclid, Ohio
  Euclid is a city in Cuyahoga County, Ohio, United States. It is part of the Greater Cleveland Metropolitan Area, and borders Cleveland. As of the 2010 census, the city had a total population of 48,920...
  
  
• Euclid, a supercomputer built by the fictional character Maximillian Cohen in the 1998 film π
  Pi (film)
  Pi, also titled ,WorldCat gives the title as [Pi] and provides a note which states, "Title is the mathematical symbol for Pi." . Amazon gives the title as Pi with no notation concerning the math symbol . is a 1998 American psychological thriller film written and directed by Darren Aronofsky...