eulers distribution theorem

Input interpretation

Euler's distribution theorem

Definition

For signed distances on a line segment, (A B)^_·(C D)^_ + (A C)^_·(D B)^_ + (A D)^_·(B C)^_ = 0, since (b - a)(d - c) + (c - a)(b - d) + (d - a)(c - b) = 0.
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Subject classifications

MathWorld

ranges

MSC 2010

51Mxx

Associated person

Leonhard Euler
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