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The Line through the Incenter and Circumcenter
Let ABC be a triangle with inradius
, incenter I, and circumcenter O. Let the line OI intersect the circumcircle at D and E and the incircle at F and G, with F closer to D than to E. Then
.
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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The statement of the theorem is in
Problem 160. Triangle, Incircle, Incenter, Circumcircle, Circumcenter, Inradius
.
RELATED LINKS
Circumcircle
(
Wolfram
MathWorld
)
Circumradius
(
Wolfram
MathWorld
)
Incenter
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
Inradius
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Line through the Incenter and Circumcenter
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheLineThroughTheIncenterAndCircumcenter/
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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