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The Sum of the Reciprocals of the Exradii
Let ABC be a triangle with inradius
. Let
,
, and
be the exradii of the excircles opposite A, B, and C, respectively. Then
.
Contributed by:
Jay Warendorff
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Excircles
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)
Exradius
(
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)
Incircle
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MathWorld
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Inradius
(
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The Sum of the Reciprocals of the Exradii
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheSumOfTheReciprocalsOfTheExradii/
Contributed by:
Jay Warendorff
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