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Clawson Point: Orthic Triangle, Extangents Triangle, Homothecy or Homothety

The figure shows a triangle ABC with its orthic triangle HAHBHC, and the extangents triangle TATBTC. Prove that the triangle TATBTC is homothetic to triangle HAHBHC, and lines TAHA, TBHB, TCHC are concurrent at the homothetic center L, called the Clawson point.
 

Clawson Point, Triangle orthic, extangents, homotetic center
 

  

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