IMO Shortlist 1966 problem 1
Dodao/la:
arhiva2. travnja 2012. Given
![n>3](/media/m/c/b/e/cbef1f7ac5b499f3987506d46938e285.png)
points in the plane such that no three of the points are collinear. Does there exist a circle passing through (at least)
![3](/media/m/b/8/2/b82f544df38f2ea97fa029fc3f9644e0.png)
of the given points and not containing any other of the
![n](/media/m/a/e/5/ae594d7d1e46f4b979494cf8a815232b.png)
points in its interior ?
%V0
Given $n>3$ points in the plane such that no three of the points are collinear. Does there exist a circle passing through (at least) $3$ of the given points and not containing any other of the $n$ points in its interior ?
Izvor: Međunarodna matematička olimpijada, shortlist 1966