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IMO Shortlist 1966 problem 36
1966
geo
kružnica
shortlist
trokut
Let
be a quadrilateral inscribed in a circle. Show that the centroids of triangles
lie on one circle.
%V0 Let $ABCD$ be a quadrilateral inscribed in a circle. Show that the centroids of triangles $ABC,$ $CDA,$ $BCD,$ $DAB$ lie on one circle.
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1677
IMO Shortlist 1986 problem 14
1986
geo
kružnica
shortlist
trokut
1
1662
IMO Shortlist 1985 problem 21
1985
geo
kružnica
shortlist
trokut
1
1216
IMO Shortlist 1966 problem 33
1966
geo
kružnica
shortlist
trokut
0
1211
IMO Shortlist 1966 problem 28
1966
geo
kružnica
shortlist
trokut
upisana
1
1202
IMO Shortlist 1966 problem 19
1966
geo
kružnica
opisana
shortlist
trokut
1
1199
IMO Shortlist 1966 problem 16
1966
geo
kružnica
shortlist
trokut
1