Definition of Euclidean in English:
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.
- 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.
- 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:
- British & World English dictionary
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