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Let ABC be a triangle with incenter I. Let A', B' and C' be the excenters opposite A, B, and C, respectively. Then the lines joining the orthocenters of IBC and A'BC, IAC and B'AC, and IAB and C'AB are concurrent.

Contributed by: Jay Warendorff

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Concurrent (Wolfram MathWorld)

Excenter (Wolfram MathWorld)

Excircles (Wolfram MathWorld)

Incenter (Wolfram MathWorld)

Incircle (Wolfram MathWorld)

Orthocenter (Wolfram MathWorld)

"A Concurrency of Lines Joining Orthocenters" from the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/AConcurrencyOfLinesJoiningOrthocenters/

Contributed by: Jay Warendorff

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A Concurrency of Lines Joining Orthocenters

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