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Euler's Distribution Theorem
For signed distances on a line segment (so that XY = -YX), AB×CD + AC×DB + AD×BC = 0. If
,
,
, and
are the coordinates of the four points on the line, this follows from the algebraic identity
.
Contributed by:
Jon Perry
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Euler's Distribution Theorem
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Euler's Distribution Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/EulersDistributionTheorem/
Contributed by:
Jon Perry
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