First Ajima-Malfatti Point

Let cA, cB, cC be the Malfatti circles inscribed in angles A, B, C, respectively. Denote
A1 - tangency point of circles cB and cC.
B1 - tangency point of circles cA and cC.
C1 - tangency point of circles cA and cB.
Then A1B1C1 is the Contact Malfatti Triangle. The First Ajima-Malfatti Point is the perspector of the given triangle and its Contact Malfatti Triangle.

 

The red point - First Ajima-Malfatti Point.