The pentagons P1P2P3P4P5 andI1I2I3I4I5 are cyclic, where Ii is the incentre of the triangle Pi−1PiPi+1 (reckoned cyclically, that is P0=P5 and P6=P1).
Show that the lines P1I1,P2I2,P3I3,P4I4 and P5I5 meet in a single point. geometryincentergeometry proposedCyclicpentagon