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Half planes covering the plane - Problem


This problem was posted to sci.math on 4 Oct 1998 by Norman Grégoire (normand@contact.net)

Here is a problem I'd like to prove, but I don't know how to proceed :

We have a set H of n half-planes (n>3), covering R2.
Prove that some subset of three half-planes of H is enough to cover R2.

A Solution + Generalisation

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