# Euclidean distance

*Noun.*(

*geometry*) The distance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points; for example, in two-dimensional Euclidean geometry, the Euclidean distance between two points '''a''' = ('''a'''

_{''x''}, '''a'''

_{''y''}) and '''b''' = ('''b'''

_{''x''}, '''b'''

_{''y''}) is defined as:

.

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This entry was last updated on RefTopia from its source on 3/20/2012.