Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{6c}\) \((330)\)

\(\displaystyle\overrightarrow{AA^\prime}=\frac7{18}\overrightarrow{AI_C}\),   \(\displaystyle\overrightarrow{BB^\prime}=\frac27\overrightarrow{BI_C}\),   \(\displaystyle\overrightarrow{CC^\prime}=\frac27\overrightarrow{CI_C}\).
\(\displaystyle A^\prime=\frac{1243}{1152}:\frac{875}{1728}:-\frac{2023}{3456}\),   \(\displaystyle B^\prime=\frac{11}{32}:\frac{365}{336}:-\frac{289}{672}\),   \(\displaystyle C^\prime=\frac{11}{32}:\frac{125}{336}:\frac{191}{672}\).
6c (330)

Hiroyasu Kamo