Y by CyclicISLscelesTrapezoid, thanosaops, r00tsOfUnity, Kagebaka, MathLuis, aansc1729, MihaiT, mathmax12, anantmudgal09, Kingsbane2139, SpecialBeing2017, PHSH, dolphinday, Rounak_iitr, vrondoS, Funcshun840
Let
be a triangle with incenter
and excenters
,
, and
opposite
,
, and
, respectively. Let
be an arbitrary point on the circumcircle of
that does not lie on any of the lines
,
, or
. Suppose the circumcircles of
and
intersect at two distinct points
and
. If
is the intersection of lines
and
, prove that
.
Proposed by Zach Chroman





















Proposed by Zach Chroman
This post has been edited 2 times. Last edited by v_Enhance, Jun 19, 2023, 5:10 PM
Reason: fix latex
Reason: fix latex