A line in the plane of a triangle
intersects the sides
and
respectively at points
and
such that
. Find the locus of the center of the circumcircle of triangle
%V0
A line in the plane of a triangle $ABC$ intersects the sides $AB$ and $AC$ respectively at points $X$ and $Y$ such that $BX = CY$ . Find the locus of the center of the circumcircle of triangle $XAY .$
Školjka