9853
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Van Aubel's Theorem for Triangles
In a triangle ABC, draw lines from the vertices through a single point P in the interior of the triangle to points A', B' and C' on the opposite sides. This illustrates Van Aubel's Theorem:
BP/PB' = BC'/C'A + BA'/A'C,
AP/PA' = AC'/C'B + AB'/B'C, and
CP/PC' = CA'/A'B + CB'/B'A.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
RELATED LINKS
Van Aubel's Theorem
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Van Aubel's Theorem for Triangles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/VanAubelsTheoremForTriangles/
Contributed by:
Jay Warendorff
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
Euler's Theorem for Pedal Triangles
Jay Warendorff
Ceva's Theorem
Jay Warendorff
Napoleon's and van Aubel's Theorems
Robert Dickau
Stewart's Theorem
Jay Warendorff
Miquel's Theorem
Jay Warendorff
Menelaus' Theorem
Jay Warendorff
Routh's Theorem
Jay Warendorff
Viviani's Theorem
Jay Warendorff
Napoleon's Theorem
Jay Warendorff
Kosnita's Theorem
Jay Warendorff
Related Topics
Plane Geometry
Triangles
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+