10095
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
An Application of the Gergonne-Euler Theorem
Let the intersection of lines
and
be denoted
. Let the line through point P and parallel to the line
be denoted by [P,
].
Let ABC and A'B'C' be two triangles. Let
,
, and
. Let
,
, and
. Then XX', YY', and ZZ' are concurrent.
Contributed by:
Jay Warendorff
After work by:
Darij Grinberg
THINGS TO TRY
Drag Locators
SNAPSHOTS
RELATED LINKS
Concurrent
(
Wolfram
MathWorld
)
Parallel Lines
(
Wolfram
MathWorld
)
PERMANENT CITATION
Jay Warendorff
"
An Application of the Gergonne-Euler Theorem
"
http://demonstrations.wolfram.com/AnApplicationOfTheGergonneEulerTheorem/
Wolfram Demonstrations Project
Published: September 12, 2008
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
The Gergonne Point
Jay Warendorff
Adams' Circle and the Gergonne Point
Jay Warendorff
Euler's Triangle Formula
Jay Warendorff
Concurrent Lines that Intersect on the Euler Line
Jay Warendorff
Stengel's Theorem
Jay Warendorff
Ceva's Theorem
Jay Warendorff
Simson's Theorem
Jay Warendorff
The Ratio Theorem
Jay Warendorff
Euler Line
Eric Rowland
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+