distance formula

distance formula
Algebraic expression that gives the distances between pairs of points in terms of their coordinates (see coordinate system).

In two-and three-dimensional Euclidean space, the distance formulas for points in rectangular coordinates are based on the Pythagorean theorem. The distance between the points (a,b) and (c,d) is given by (a -c)2 + (b -d)2. In three dimensional space, the distance between the points (a, b, c) and (d, e, f) is (a -d)2 + (b -e)2 + (c -f)2.

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Universalium. 2010.

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