such that 
.
.
and from 
respectively.
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
Circles 
and 
meet at 
and 
. Let 
be on and 
on . The lines 
and 
meet again at 
and 
respectively; the line 
and 
meet again at 
and 
, respectively. Assume that 
are in cyclic order around , and that 
and 
are congruent. Prove that 
and lie on a circle whose centre does not depend on the position of and on the circles.
and 
meet at 
and 
. Let 
be on and 
on . The lines 
and 
meet again at 
and 
respectively; the line 
and 
meet again at 
and 
, respectively. Assume that 
are in cyclic order around , and that 
and 
are congruent. Prove that 
and lie on a circle whose centre does not depend on the position of and on the circles.This post has been edited 1 time. Last edited by parmenides51, Jan 15, 2021, 4:30 PM
