47-Pair triangle homothetic

Let two triangle  and . Such that ; .  meet  at . Define cyclically. Denote  is center of circumcircle  and . Denote Oa is center of circle , Define  cyclically.  is center of . Define  cyclically.
Prove that: 

1- tangent with three circle 
2- are concurrent at  and  is midpoints of ; when are median triangle then  is midpoints of center Nine point circle and Circumcircle

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