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Euclidean: meaning, definitions and examples

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euclidean

 

[ juหหˆklษชdiษ™n ]

Adjective
Context #1 | Adjective

mathematics geometry

Euclidean refers to the geometry based on the postulates and axioms set forth by the ancient Greek mathematician Euclid. This type of geometry includes concepts such as points, lines, planes, and the relationships between them. Euclidean geometry is characterized by the parallel postulate, which states that through any point not on a given line, there is exactly one line parallel to the given line. This branch of geometry is fundamental to classical mathematics and is widely used in various applications, making it an essential basis for modern disciplines like physics and engineering.

Synonyms

classical geometry, plane geometry.

Examples of usage

  • Euclidean space is a central concept in mathematics.
  • Many mathematical proofs are based on Euclidean principles.
  • The angles in a Euclidean triangle always sum up to 180 degrees.

Translations

Translations of the word "euclidean" in other languages:

๐Ÿ‡ต๐Ÿ‡น euclidiano

๐Ÿ‡ฎ๐Ÿ‡ณ เคฏเฅ‚เค•เฅเคฒเคฟเคกเคฟเคฏเคจ

๐Ÿ‡ฉ๐Ÿ‡ช euklidisch

๐Ÿ‡ฎ๐Ÿ‡ฉ euclidean

๐Ÿ‡บ๐Ÿ‡ฆ ะตะฒะบะปั–ะดะพะฒะธะน

๐Ÿ‡ต๐Ÿ‡ฑ euklidesowy

๐Ÿ‡ฏ๐Ÿ‡ต ใƒฆใƒผใ‚ฏใƒชใƒƒใƒ‰ใฎ

๐Ÿ‡ซ๐Ÿ‡ท euclidien

๐Ÿ‡ช๐Ÿ‡ธ euclidiano

๐Ÿ‡น๐Ÿ‡ท ร–klid

๐Ÿ‡ฐ๐Ÿ‡ท ์œ ํด๋ฆฌ๋“œ์˜

๐Ÿ‡ธ๐Ÿ‡ฆ ุฅู‚ู„ูŠุฏูŠ

๐Ÿ‡จ๐Ÿ‡ฟ euklidovskรฝ

๐Ÿ‡ธ๐Ÿ‡ฐ euklidovskรฝ

๐Ÿ‡จ๐Ÿ‡ณ ๆฌงๅ‡ ้‡Œๅพ—็š„

๐Ÿ‡ธ๐Ÿ‡ฎ evklidski

๐Ÿ‡ฎ๐Ÿ‡ธ euklรญรฐskur

๐Ÿ‡ฐ๐Ÿ‡ฟ ัะฒะบะปะธะดั‚ั–ะบ

๐Ÿ‡ฌ๐Ÿ‡ช แƒ”แƒ•แƒ™แƒšแƒ˜แƒ“แƒฃแƒ แƒ˜

๐Ÿ‡ฆ๐Ÿ‡ฟ evklid

๐Ÿ‡ฒ๐Ÿ‡ฝ euclidiano

Etymology

The term 'Euclidean' is derived from the name of the ancient Greek mathematician Euclid, who is often referred to as the 'Father of Geometry.' His most famous work, 'Elements,' was a comprehensive compilation of the knowledge of geometry up to that time and included definitions, postulates, propositions, and proofs that have influenced mathematics for centuries. The first known edition dates back to around 300 BCE. The principles laid out by Euclid form the foundation of what is now known as Euclidean geometry. The enduring legacy of Euclid's work is seen in the way geometry is taught today and its application in various scientific fields. Even though non-Euclidean geometries have been developed since the 19th century, Euclidean geometry remains a critical area of study, underscoring the lasting impact of Euclidean thought in mathematics.

Word Frequency Rank

This word's position of #33,585 indicates it's among the more rare English words. While understanding it broadens your vocabulary, focus on more common words first.