Definition of Euclidean in English:


Syllabification: Eu·clid·e·an
Pronunciation: /yo͞oˈklidēən


  • 1Of or relating 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.
    More 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.
    More 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.

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Pronunciation: ˌkɒlərəˈtjʊərə
elaborate ornamentation of a vocal melody