IMO Shortlist 1975 problem 15
Dodao/la:
arhiva2. travnja 2012. Can there be drawn on a circle of radius
![1](/media/m/a/9/1/a913f49384c0227c8ea296a725bfc987.png)
a number of
![1975](/media/m/9/0/a/90a357ed26536241df68c979ba93ce77.png)
distinct points, so that the distance (measured on the chord) between any two points (from the considered points) is a rational number?
%V0
Can there be drawn on a circle of radius $1$ a number of $1975$ distinct points, so that the distance (measured on the chord) between any two points (from the considered points) is a rational number?
Izvor: Međunarodna matematička olimpijada, shortlist 1975