The surface of a balloon is not an Euclidean space, and therefore does not follow the rules of Euclidean geometry.
Source: tatoeba (378627)
Euclidean
/juːˈklɪd.i.ən/
Synonyms for "euclidean" (14 found)
Ranked by relevance and common usage.
Closest matches (3)
Adjective(3 words)
algebraic euclidean propertyclassical geometrydivision domain property
Strong matches (4)
Related words (7)
Adjective(6 words)
geometric designsgeometric figuresgeometric notiongeometric objectpythagorean metricstandard metric
Noun(1 words)
geometry terms
Related word relations
OpenGloss and ConceptNet supply richer edges like generalizations, collocations, and derivations.
More general
5 entriesMore specific
6 entriesEuclidean distanceEuclidean domainEuclidean normEuclidean ringplane geometrysolid geometry
Collocations
6 entriesEuclidean algorithmEuclidean distanceEuclidean geometryEuclidean metricEuclidean planeEuclidean space
Inflections
2 entriesmore Euclideanmost Euclidean
Derivations
5 entriesSample sentences
4 total sentences available.
The Euclidean algorithm serves not only to determine the greatest common divisor between two whole numbers, but also to solve Diophantine equations.
Source: tatoeba (9120119)
The Euclidean algorithm serves not only to determine the greatest common divisor between two integers, but also to solve Diophantine equations.
Source: tatoeba (9174243)
If (#92;alpha#95;1,#92;dots,#92;alpha#95;n) is an orthonormal basis of a euclidean space V, then for all #92;alpha,#92;beta in V#92;alpha#61;#92;sum#95;#123;i#61;1#125;ⁿ(#92;alpha#92;vert#92;alpha#95;i)#92;alpha#95;i#92;quad#92;text#123;and#125;#92;quad(#92;alpha#92;vert#92;beta)#61;#92;sum#95;#123;i#61;1#125;ⁿ(#92;alpha#92;vert#92;alpha#95;i)(#92;beta#92;vert#92;alpha#95;i).We turn now to a somewhat more profound matter. Suppose that we partially order by inclusion the collection of all orthonormal sets of vectors in a euclidean space V. A maximal element of this set is called a maximal orthonormal set.
Source: wiktionary