Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{5c}\) \((312)\)

\(\displaystyle\overrightarrow{AA^\prime}=-\frac{28}5\overrightarrow{AI_C}\),   \(\displaystyle\overrightarrow{BB^\prime}=-\frac57\overrightarrow{BI_C}\),   \(\displaystyle\overrightarrow{CC^\prime}=-\frac4{35}\overrightarrow{CI_C}\).
\(\displaystyle A^\prime=-\frac{11}{80}:-\frac{175}{24}:\frac{2023}{240}\),   \(\displaystyle B^\prime=-\frac{55}{64}:\frac{527}{672}:\frac{1445}{1344}\),   \(\displaystyle C^\prime=-\frac{11}{80}:-\frac{25}{168}:\frac{2161}{1680}\).
5c (312)

Hiroyasu Kamo