Kosnita Point

Let O is the circumcenter of

ABC. Define
cA - the circle passing through B, O, C.
cB - the circle passing through A, O, C.
cC - the circle passing through A, O, B.
A1 - the center of circle cA.
B1 - the center of circle cB.
C1 - the center of circle cC.
The Kosnita Point K is the perspector of

ABC and

A₁B₁C₁.