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Let $\mathcal S$ denote the set of points inside or on the b

Source: Balkan MO 1998, Problem 3

April 24, 2006
geometry proposedgeometry

Problem Statement

Let S\mathcal S denote the set of points inside or on the border of a triangle ABCABC, without a fixed point TT inside the triangle. Show that S\mathcal S can be partitioned into disjoint closed segemnts. Yugoslavia
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