Convex Figures and the Function S(F)
A perfect result is achieved, a series of problems is solved. Now what?Well, a good solution to a good problemgeneratesmany new questions. That is why mathematics will always be alive!
We have found an interesting property of the triangle: in any set of five points in a triangle of area S there are three points that forma triangle of area at most S/4. Moreover, five is the minimal number of points in a triangle that guarantees this result.
KeywordsEquilateral Triangle Maximum Area Supporting Line Parallel Projection Pigeonhole Principle
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