Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{2b}\) \((121)\)

\(\displaystyle\overrightarrow{AA^\prime}=-\frac74\overrightarrow{AI_B}\),   \(\displaystyle\overrightarrow{BB^\prime}=-\frac97\overrightarrow{BI_B}\),   \(\displaystyle\overrightarrow{CC^\prime}=-\frac97\overrightarrow{CI_B}\).
\(\displaystyle A^\prime=\frac{451}{360}:\frac{175}{108}:-\frac{2023}{1080}\),   \(\displaystyle B^\prime=-\frac{11}{10}:\frac{73}{21}:-\frac{289}{210}\),   \(\displaystyle C^\prime=-\frac{11}{10}:\frac{25}{21}:\frac{191}{210}\).
2b (121)

Hiroyasu Kamo