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Collinearity of an Incenter and Two Circumcenters
Let ABC be a triangle with excentral triangle A'B'C'. Let I be the incenter and O the circumcenter of ABC, and let
be the circumcenter of A'B'C'. Then I, O, and
are collinear and O bisects
.
Contributed by:
Jay Warendorff
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RELATED LINKS
Circumcenter
(
Wolfram
MathWorld
)
Circumcircle
(
Wolfram
MathWorld
)
Excenter
(
Wolfram
MathWorld
)
Excentral Triangle
(
Wolfram
MathWorld
)
Excircles
(
Wolfram
MathWorld
)
Incenter
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Collinearity of an Incenter and Two Circumcenters
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/CollinearityOfAnIncenterAndTwoCircumcenters/
Contributed by:
Jay Warendorff
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