adjective
- of or relating to Euclid or the geometry based on his axioms and postulates, in which parallel lines never meet and the angles of a triangle sum to 180 degrees
Usage: also spelled Euclidean; mathematics
Examples
- In euclidian geometry, the shortest distance between two points is a straight line.
- Most high school students learn euclidian geometry before studying non-euclidian spaces.
- The euclidian plane is the foundation of classical mathematics.
- Euclidian space assumes that parallel lines will never intersect.
- Modern physics sometimes requires non-euclidian geometry to describe the universe.