euclidean Definition

of, relating to, or based on the geometry of Euclid or a geometry with similar axioms

a method of finding the greatest common divisor of two numbers by dividing the larger by the smaller, the smaller by the remainder, the first remainder by the second remainder, and so on until exact division is obtained whence the greatest common divisor is the exact divisor —called also Euclid's algorithm

geometry based on Euclid's axioms

the geometry of a euclidean space

a space in which Euclid's axioms and definitions (as of straight and parallel lines and angles of plane triangles) apply

not assuming or in accordance with all the postulates of Euclid's Elements