online vocabulary.com

Euclidean - Meaning, Definition & English Examples

Euclidean refers to anything related to the geometry of flat, two-dimensional or three-dimensional spaces, based on the principles of the ancient Greek mathematician Euclid. It describes shapes, distances, and angles in classical geometry.

euclidean

/juːˈklɪdiən/ /juːˈklɪdiən/

Definition:

Relating to the geometry of Euclid or based on his axioms.

Synonyms:

geometric, mathematical, axiomatic

Part of Speech:

adjective

Antonyms:

non-Euclidean, curved

Common Collocations:

Euclidean space, Euclidean geometry, Euclidean distance

Derivatives:

Euclid, euclidian (variant)

Usage Tips:

Use "Euclidean" to describe geometry based on flat planes and straight lines, unlike curved spaces.

Common Phrases:

Euclidean plane, Euclidean algorithm, Euclidean norm

Etymology:

Derived from Euclid, the ancient Greek mathematician who founded classical geometry.

Examples:

  • 1. The teacher explained Euclidean geometry using a flat chalkboard.
  • 2. Euclidean distance measures the straight line between two points.
  • 3. Non-Euclidean geometries describe curved surfaces like spheres.
  • 4. The Euclidean algorithm simplifies finding the greatest common divisor.

MORE VOCABULARY LISTS