Abstract
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.
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© 2009 Springer-Verlag New York
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Soifer, A. (2009). Convex Figures and the Function S(F). In: How Does One Cut a Triangle?. Springer, New York, NY. https://doi.org/10.1007/978-0-387-74652-4_8
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DOI: https://doi.org/10.1007/978-0-387-74652-4_8
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Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-74650-0
Online ISBN: 978-0-387-74652-4
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