View source for ユークリッド距離

==Japanese==
{{ja-kanjitab|きょ|り|yomi=on|sort=ユークリッドきょり}}

===Noun===
{{ja-noun|ユークリッド きょり}}

# {{lb|ja|geometry|sort=ゆうくりっどきょり}} [[Euclidean distance]] - the [[distance]] between two [[point]]s defined as the [[square root]] of the [[sum]] of the [[square]]s of the [[difference]]s between the corresponding [[coordinate]]s of the points; for example, in [[two-dimensional]] [[Euclidean geometry]], the Euclidean distance between two points '''a''' = ('''a'''<sub>''x''</sub>, '''a'''<sub>''y''</sub>) and '''b''' = ('''b'''<sub>''x''</sub>, '''b'''<sub>''y''</sub>) is defined as:<br>
: <math>d(\textbf{a}, \textbf{b}) = \sqrt{(\textbf{a}_x - \textbf{b}_x)^2 + (\textbf{a}_y - \textbf{b}_y)^2}</math>