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Miklós Schweitzer
1985 Miklós Schweitzer
3
3
Part of
1985 Miklós Schweitzer
Problems
(1)
Miklós Schweitzer 1985- Problem 3
Source:
9/5/2016
3. Let
k
k
k
and
K
K
K
be concentric circles on the plane, and let
k
k
k
be contained inside
K
K
K
. Assume that
k
k
k
is covered by a finite system of convex angular domains with vertices on
K
K
K
. Prove that the sum of the angles of the domains is not less than the angle under which
k
k
k
can be seen from a point of
K
K
K
. (G.38) [Zs.. Páles]
college contests
geometry