Word Pronunciation & Dictionary

euclidean

/juˈklɪd.i.ən/

Word Rarity Rare

Frequency: Zipf frequency 2.79 in modern English

Syllables: eu-clidean
IPA: /juˈklɪd.i.ən/

12

Scrabble Score

9

Letters

2

Syllables

8

Unique Chars

Meaning

adj

Adhering to the principles of traditional geometry, in which parallel lines are equidistant.

adj

Of or relating to Euclid's Elements, especially to Euclidean geometry.

adj

Of or relating to Euclidean zoning.

adj

Alternative spelling of Euclidean.

Example Sentences

"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."

Etymology

Named after Euclid, who established the principles of plane geometry.

Regional Pronunciation

American English: /juˈklɪd.i.ən/
British English: /juːˈklɪd.i.ən/

Inflected Forms

Euclidian (alternative)

Derived Forms

Euclideanness

Phrases

Euclidean algorithm Euclidean distance Euclidean geometry Euclidean group Euclidean relation Euclidean space

Frequently Paired Words

hyperbolic Minkowskian

Synonyms

euclidian

Antonyms

non-Euclidean

Rhymes With

meridian gideon obsidian quotidian lydian viridian enchiridion ophidian ascidian nullifidian eridian aphidian

Questions

How do you pronounce euclidean?: The recorded pronunciation is /juˈklɪd.i.ən/.
What does euclidean mean?: Adhering to the principles of traditional geometry, in which parallel lines are equidistant.
Where does euclidean come from?: Named after Euclid, who established the principles of plane geometry.

How to pronounce euclidean

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