MathDB

2

Part of 2005 Czech-Polish-Slovak Match

Problems(1)

Circumcentre, Incentre, Intersection of Diagonals Collinear

Source: Czech-Polish-Slovak 2005 Q2

4/27/2013
A convex quadrilateral ABCDABCD is inscribed in a circle with center OO and circumscribed to a circle with center II. Its diagonals meet at PP. Prove that points O,IO, I and PP lie on a line.
geometryincentersearchgeometry unsolved