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Euclidean

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

Definition of Euclidean in English:

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.

Definition of Euclidean in:

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