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Several observations about Maneeals - a peculiar system of lines
(2016)
For an arbitrary triangle $ABC$ and an integer $n$ we define points
$D_n$, $E_n$, $F_n$ on the sides $BC$, $CA$, $AB$ respectively, in such a manner that
\[\frac{|AC|^n}{{|AB|}^n} = \frac{|CD_n|}{|BD_n|}, \frac{|AB|^ ...