such that 
.
.
and 
be the feet of the altitudes from 
to 
to 
and 
as the reflections of 
be the circumcircle of 
.
the second intersection of line 
with 
the intersection of ray 
with 
is the circumcenter of 
can be inscribed within a circle.
of positive integers satisfying the following two conditions:
,
is in 
,
and 
;
such that 
is not divisible by 
.
?
Y by
Point 
is chosen inside the triangle 
on the perpendicular bisector of the side 
. The triangles and 
, similar to the triangle 
, are built on the sides 
and 
to the outside. In what respect does the line 
divide the segment 
?
is chosen inside the triangle 
on the perpendicular bisector of the side 
. The triangles and 
, similar to the triangle 
, are built on the sides 
and 
to the outside. In what respect does the line 
divide the segment 
?This post has been edited 1 time. Last edited by parmenides51, Feb 24, 2021, 1:38 PM
Reason: latex
Reason: latex
and 
.
to 
is parallelogram and so 
