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IMO Shortlist 1985 problem 20
1985
IMO
geo
kružnica
shortlist
A circle whose center is on the side
of the cyclic quadrilateral
touches the other three sides. Prove that
%V0 A circle whose center is on the side $ED$ of the cyclic quadrilateral $BCDE$ touches the other three sides. Prove that $EB+CD = ED.$
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1781
IMO Shortlist 1990 problem 11
1990
IMO
geo
kružnica
shortlist
0
1773
IMO Shortlist 1990 problem 3
1990
IMO
geo
kružnica
shortlist
2
1725
IMO Shortlist 1988 problem 18
1988
IMO
geo
kružnica
shortlist
0
1635
IMO Shortlist 1984 problem 14
1984
IMO
geo
kružnica
shortlist
0
1629
IMO Shortlist 1984 problem 8
1984
IMO
geo
kružnica
shortlist
0
1409
IMO Shortlist 1970 problem 8
1970
IMO
geo
kružnica
shortlist
trokut
1