. Prove that: 
be a point on side 
at 
and ray 
at 
. The circumcircle of triangle 
intersects the circumcircle 
of triangle 
distinct from point 
and 
intersect 
and 
respectively.
such that 
for all real number 
and 
and 
on the plane such that 
is an equilateral . Let 
and 
at 
and 
at 
Y by
Given a scalene triangle 
, let 
, 
, 
be the intersection points of the internal angle bisectors of 
, 
, 
with opposite sides, respectively. Let 
be the intersection of 
and the perpendicular bisector of 
. Define 
and 
analogously. Show that , and are collinear.
, let 
, 
, 
be the intersection points of the internal angle bisectors of 
, 
, 
with opposite sides, respectively. Let 
be the intersection of 
and the perpendicular bisector of 
. Define 
and 
analogously. Show that , and are collinear.This post has been edited 2 times. Last edited by parmenides51, Dec 10, 2022, 2:37 AM
