Derousseau's Generalization of the Malfatti circles

\(a:b:c=231:250:289\).


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\(\mathbf{7c}\) \((332)\)

\(\displaystyle\overrightarrow{AA^\prime}=-\frac{11}{10}\overrightarrow{AI_C}\),   \(\displaystyle\overrightarrow{BB^\prime}=-\frac{10}{11}\overrightarrow{BI_C}\),   \(\displaystyle\overrightarrow{CC^\prime}=-\frac2{55}\overrightarrow{CI_C}\).
\(\displaystyle A^\prime=\frac{497}{640}:-\frac{275}{192}:\frac{3179}{1920}\),   \(\displaystyle B^\prime=-\frac{35}{32}:\frac{383}{528}:\frac{1445}{1056}\),   \(\displaystyle C^\prime=-\frac7{160}:-\frac{25}{528}:\frac{5761}{5280}\).
7c (332)

Hiroyasu Kamo