Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{0b}\) \((101)\)

\(\displaystyle\overrightarrow{AA^\prime}=\frac{11}{32}\overrightarrow{AI_B}\),   \(\displaystyle\overrightarrow{BB^\prime}=\frac{18}{11}\overrightarrow{BI_B}\),   \(\displaystyle\overrightarrow{CC^\prime}=\frac9{22}\overrightarrow{CI_B}\).
\(\displaystyle A^\prime=\frac{2737}{2880}:-\frac{275}{864}:\frac{3179}{8640}\),   \(\displaystyle B^\prime=\frac75:-\frac{71}{33}:\frac{289}{165}\),   \(\displaystyle C^\prime=\frac7{20}:-\frac{25}{66}:\frac{679}{660}\).
0b (101)

Hiroyasu Kamo