The diagonals
and
of the regular hexagon
are divided by inner points
and
respectively, so that
Determine
if
and
are collinear.
%V0
The diagonals $AC$ and $CE$ of the regular hexagon $ABCDEF$ are divided by inner points $M$ and $N$ respectively, so that $${AM\over AC}={CN\over CE}=r.$$ Determine $r$ if $B,M$ and $N$ are collinear.
Školjka