Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{3b}\) \((123)\)

\(\displaystyle\overrightarrow{AA^\prime}=-\frac{55}{36}\overrightarrow{AI_B}\),   \(\displaystyle\overrightarrow{BB^\prime}=-\frac9{55}\overrightarrow{BI_B}\),   \(\displaystyle\overrightarrow{CC^\prime}=-\frac{45}{11}\overrightarrow{CI_B}\).
\(\displaystyle A^\prime=\frac{791}{648}:\frac{1375}{972}:-\frac{3179}{1944}\),   \(\displaystyle B^\prime=-\frac7{50}:\frac{217}{165}:-\frac{289}{1650}\),   \(\displaystyle C^\prime=-\frac72:\frac{125}{33}:\frac{47}{66}\).
3b (123)

Hiroyasu Kamo