« Vrati se
Let A,B be adjacent vertices of a regular n-gon (n\ge5) with center O. A triangle XYZ, which is congruent to and initially coincides with OAB, moves in the plane in such a way that Y and Z each trace out the whole boundary of the polygon, with X remaining inside the polygon. Find the locus of X.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1664IMO Shortlist 1986 problem 10
1246IMO Shortlist 1966 problem 630
1242IMO Shortlist 1966 problem 590
1182IMO Shortlist 1965 problem 51
1157IMO Shortlist 1961 problem 41
1144IMO Shortlist 1959 problem 47