# Euclidean

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

## Definition of Euclidean in English:

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.

### Words that rhyme with Euclidean

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

## Definition of Euclidean in:

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= trending

## More on Euclidean

### Nearby words

Result list for Euclidean

### More words in this category

abscissa cardinality closed cube diagonal matrix

### Translate Euclidean

into Spanish
Word of the day
Pronunciation: rɪˈzɪlɪənt