Euler's Distribution Theorem
Initializing live version

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
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 (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
detailSectionParagraphPermanent Citation
"Euler's Distribution Theorem"
http://demonstrations.wolfram.com/EulersDistributionTheorem/
Wolfram Demonstrations Project
Published: March 7 2011