10217
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
THINGS TO TRY
Slider Zoom
Automatic Animation
SNAPSHOTS
RELATED LINKS
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Marden's Theorem
Bruce Torrence
Binomial Theorem
Stephen Wolfram
Lucas-Gauss Theorem
Bruce Torrence
Fermat's Little Theorem
Michael Schreiber
The Fundamental Theorem of Algebra
Ed Pegg Jr
Binomial Theorem (Step-by-Step)
Bruce Colletti
The Fundamental Theorem of Finite Abelian Groups
Marc Brodie (Wheeling Jesuit University)
Applying the Pólya-Burnside Enumeration Theorem
Hector Zenil and Oleksandr Pavlyk
The Distributive Property
Sarah Lichtblau
Distributive Property of Multiplication over Addition
Enis Siniksaran
Related Topics
Algebra
High School Algebra II and Trigonometry
High School Mathematics
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+