A point
D
is chosen on side
BC
of triangle
ABC
with incentre
I
. The perpendicular
bisector of
BC
meets
BI
and
CI
at
U
and
V
respectively. The circle (
BDU
) intersects
AB
at
E
, and the circle (
CDV
) intersects
AC
at
F
, and the circles (
BDU
) and (
CDV
)
meet at
K
. Prove that points
E, F, K, I
are concylic
Mathbot Says...
I wasn't able to parse your question, but the HE.NET team is hard at work making me smarter.