Tuesday 21 January 2014

Start with an even number of points (at least four points) in the plane

Start with an even number of points (at least four points) in the plane, no three
on the same straight line, half colored blue and half colored yellow.
Show there is a straight line, which does not meet any of the points,
which divides the points into two non-empty sets of points, both sets being
half blue and half yellow.

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