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Soros Olympiad in Mathematics
I Soros Olympiad 1994-95 (Rus + Ukr)
10.9
10.9
Part of
I Soros Olympiad 1994-95 (Rus + Ukr)
Problems
(1)
any 1994-gon may be cut in n cyclic quadr. (I Soros Olympiad 1994-95 R1 10.9)
Source:
7/31/2021
Prove that for all natural
n
≥
6000
n\ge 6 000
n
≥
6000
any convex
1994
1994
1994
-gon can be cut into
n
n
n
such quadrilaterals thata circle can be circumscribed around each of them
combinatorics
geometry
combinatorial geometry
cyclic quadrilateral