conventional distance in mathematics and physics From Wikipedia, the free encyclopedia
In Euclidean geometry, the Euclidean distance is the usual distance between two points p and q. This distance is measured as a line segment. The Pythagorean theorem can be used to calculate this distance.[1][2]
In the Euclidean plane, if p = (p1, p2) and q = (q1, q2) then the distance is given by[3]
This is equivalent to the Pythagorean theorem, where legs are differences between respective coordinates of the points, and hypotenuse is the distance.
Alternatively, if the polar coordinates of the point p are (r1, θ1) and those of q are (r2, θ2), then the distance between the points is
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