Definition of Euclidean in English:

Euclidean

Line breaks: Eu¦clid|ean
Pronunciation: /juːˈklɪdɪən
 
/

adjective

  • 1Relating to or denoting the system of geometry based on the work of Euclid and corresponding to the geometry of ordinary experience: Euclidean geometry
    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.
  • 1.1Of such a nature that the postulates of the Euclidean system of geometry are valid: all points on a Euclidean circle are equidistant from the centre Euclidean space 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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Word of the day milord
Pronunciation: mɪˈlɔːd
noun
used to address an English nobleman