Y by Smkh, Adventure10
Let
be the bisector of a triangle
. Points
and
are chosen on the line
such that
is the midpoint of the segment
. A line
, different from
, passes through
and intersects the lines
and
at points
and
, respectively.
Find the locus of the points of intersection of the lines
and
for all possible positions of
.
(M. Karpuk)














Find the locus of the points of intersection of the lines



(M. Karpuk)