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.
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.