Definition of Euclidean in English:

Share this entry


Pronunciation: /yo͞oˈklidēən/


1Relating to Euclid, in particular.
1.1Of or denoting the system of geometry based on the work of Euclid and corresponding to the geometry of ordinary experience.
Example sentences
  • He was one of the earliest mathematicians to demonstrate that the ordinary experience of Euclidean concepts can be extended meaningfully beyond geometry into the idealised constructions of more complex abstract mathematics.
  • The second chapter presents a development of absolute and Euclidean geometry based on Hilbert's axioms.
  • A Euclidean geometry is based on false assumptions, which are called definitions, axioms, and postulates.
1.2Of such a nature that the postulates of Euclidean geometry are valid. Compare with non-Euclidean.
Example sentences
  • Mathematics has considered alternatives to Euclidean space since the early nineteenth century.
  • A hyperbolic display contains much more space than a simple Euclidean plane because the circumference and area of the circle it's mapped upon grows exponentially with the length of its radius.
  • The latter are mediated by DNA-loops bringing two chemically remote segments of the DNA close in Euclidean space.

Words that rhyme with Euclidean

ascidian, Derridean, Dravidian, enchiridion, Floridian, Gideon, Lydian, meridian, Numidian, obsidian, Pisidian, quotidian, viridian

For editors and proofreaders

Syllabification: Eu·clid·e·an

Share this entry

What do you find interesting about this word or phrase?

Comments that don't adhere to our Community Guidelines may be moderated or removed.