Article
MSC:
97G40
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Summary:
The article concerns the following problem: Given square $ABCD$ with the side of 1. Find points $E,F$ so that the sum $l=|AE|+|DE|+|EF|+|BF|+|CF|$ is the smallest possible. Four solutions are given which are examples of the connection between several mathematical disciplines (geometry, algebra and calculus). The article concludes with a note on the history of the presented problem (leading to P. Fermat and others).
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