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Balkan MO
1998 Balkan MO
3
3
Part of
1998 Balkan MO
Problems
(1)
Let $\mathcal S$ denote the set of points inside or on the b
Source: Balkan MO 1998, Problem 3
4/24/2006
Let
S
\mathcal S
S
denote the set of points inside or on the border of a triangle
A
B
C
ABC
A
BC
, without a fixed point
T
T
T
inside the triangle. Show that
S
\mathcal S
S
can be partitioned into disjoint closed segemnts. Yugoslavia
geometry proposed
geometry