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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
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PERMANENT CITATION
Jay Warendorff
"
An Application of the Gergonne-Euler Theorem
"
http://demonstrations.wolfram.com/AnApplicationOfTheGergonneEulerTheorem/
Wolfram Demonstrations Project
Published: September 12, 2008
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