Let a triangle ABC. Construct two similar triangle 
and 
with 
. Construct Isosceles triangle 
with 
. GA intersects perpendicular bisector of 
at 
. Prove that when 
move on the plane then is fixed point. Perpendicular bisector of 
intersects perpendicular bisector of at 
.
Prove that when move on the plane then:
move on the plane then:
1) is a fixed point.
is a fixed point.
2) is a fixed point.
is a fixed point.
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