euclideán

Euclideán is a term that refers to concepts, theories, or systems that are directly derived from or strongly influenced by the principles of Euclidean geometry, named after the ancient Greek mathematician Euclid. This type of geometry is characterized by its axiomatic approach, where fundamental truths, known as postulates or axioms, are assumed to be self-evidently true. From these axioms, a vast body of theorems and propositions are logically deduced.

The most famous of Euclid's axioms is the parallel postulate, which states that through a point not on a given line, there is exactly one line parallel to the given line. For centuries, mathematicians attempted to prove this postulate from the other axioms, which led to the development of non-Euclidean geometries when these attempts failed.

Therefore, when something is described as "Euclideán," it typically implies adherence to these classical geometric rules. This could pertain to mathematical proofs, physical models, or even abstract conceptual frameworks that rely on the same logical structure and assumptions as Euclid's Elements. The term emphasizes a system that is consistent, logical, and built upon a foundation of accepted truths, as established by Euclid.