# Desargues theorem for incenters. x(1127)

- Author:
- A.Zakharov

D - incenter of ABC
incenters G,E,F are constructed for the triangles ABD, BCD, ACD accordingly.
if J,I,H lie on a line, (and apparently that is always the case)
applying the converse to Desargues theorem to triangles ABC и GEF
it follows that
AF, AE, CG intersect in the pont K.
K = x(1127)
I wonder what is known about line JIH ?