MathDB

16

Part of 2003 Iran MO (3rd Round)

Problems(1)

Points lie on a circle

Source: Iranian National Olympiad (3rd Round) 2003

1/24/2009
Segment AB AB is fixed in plane. Find the largest n n, such that there are n n points P1,P2,…,Pn P_1,P_2,\dots,P_n in plane that triangles ABPi ABP_i are similar for 1≤i≤n 1\leq i\leq n. Prove that all of Pi P_i's lie on a circle.
geometry proposedgeometry