The surface of a balloon is not an Euclidean space, and therefore does not follow the rules of Euclidean geometry.
Source: tatoeba (378627)
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The surface of a balloon is not an Euclidean space, and therefore does not follow the rules of Euclidean geometry.
Source: tatoeba (378627)
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
Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.