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Mathematics, 06.07.2021 19:20 brianadee800

Given a sphere S, a great circle of S is the intersection of S with a plane through its center. Every great circle divides S into two parts. A hemisphere is the union of the great circle and one of these two parts. Show that if five points are placed arbitrarily on S, then there is a hemisphere that contains four of them

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Given a sphere S, a great circle of S is the intersection of S with a plane through its center. Ever...
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