Phrase Hound found 24 phrases and 3 compound words that contain euclidean. The most common are listed below. Open euclidean in the live search for definitions, filters, and the full list.
Phrases 24
- Euclidean geometryThe familiar geometry of the real world, based on the parallel postulate.
- Euclidean spaceOrdinary n-dimensional space, characterized by an infinite extent along each dimension and a constant distance between any pair of parallel lines.
- Euclidean algorithmAny of certain algorithms first described in Euclid's Elements.
- non-EuclideanOf, or relating to non-Euclidean geometry.
- Euclidean divisionThe process of dividing one integer by another to yield a quotient and a remainder smaller than the divisor.
- non-Euclidean geometryAny system of geometry not based on the set of axioms of Euclidean geometry, which is based on the three-dimensional space of common experience.
- Euclidean metricIn the space ℝⁿ, the metric d(⃑x,⃑y)=√ where ⃑x=(x_1,...,x_n) and ⃑y=(y_1,...,y_n).
- Euclidean planeTwo-dimensional Euclidean space.
- Euclidean alphabetThe classical Greek alphabet, a modified form of the Ionic alphabet adopted by Athens in 403 BC following its defeat in the Peloponnesian War.
- Euclidean distanceThe distance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points; for example, in two-dimensional Euclidean geometry, the Euclidean distance between …
- Euclidean domainan integral domain in which division with remainder is possible
- Euclidean groupthe set of rigid motions that are also affine transformations.
- Euclidean normA norm of an ordinary Euclidean space, for which the Pythagorean theorem holds, defined by ‖x‖=√
- Euclidean spacesplural of Euclidean space: Ordinary n-dimensional space, characterized by an infinite extent along each dimension and a constant distance between any pair of parallel lines.
- extended Euclidean algorithmAn extension to the Euclidean algorithm, which computes the coefficients of Bézout's identity in addition to the greatest common divisor of two integers.
- non-Euclidean geometriesplural of non-Euclidean geometry: Any system of geometry not based on the set of axioms of Euclidean geometry, which is based on the three-dimensional space of common experience.
- Euclidean algorithmsplural of Euclidean algorithm: Any of certain algorithms first described in Euclid's Elements.
- Euclidean distancesplural of Euclidean distance: The distance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points; for example, in two-dimensional Euclidean geometry …
- Euclidean divisionsplural of Euclidean division: The process of dividing one integer by another to yield a quotient and a remainder smaller than the divisor.
- Euclidean domainsplural of Euclidean domain: an integral domain in which division with remainder is possible
- Euclidean groupsplural of Euclidean group: the set of rigid motions that are also affine transformations.
- Euclidean metricsplural of Euclidean metric: In the space ℝⁿ, the metric d(⃑x,⃑y)=√ where ⃑x=(x_1,...,x_n) and ⃑y=(y_1,...,y_n).
- Euclidean normsplural of Euclidean norm: A norm of an ordinary Euclidean space, for which the Pythagorean theorem holds, defined by ‖x‖=√
- Euclidean planesplural of Euclidean plane: Two-dimensional Euclidean space.
Compound words 3
- EuclideannessThe property of being Euclidean.
- EuclideanismThe Euclidean approach to geometry.
- noneuclideanAlternative letter-case form of non-Euclidean