The vertices of an
gon are placed on the edges of a regular
gon so that the perimeter of the
gon is divided into equal parts. How does one choose these
points in order to obtain the
gon with
maximal area;
minimal area?
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$(NET 1)$ The vertices of an $(n + 1)-$gon are placed on the edges of a regular $n-$gon so that the perimeter of the $n-$gon is divided into equal parts. How does one choose these $n + 1$ points in order to obtain the $(n + 1)-$gon with
$(a)$ maximal area;
$(b)$ minimal area?
Školjka