Derousseau's Generalization of the Malfatti circles

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


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\(\displaystyle\overrightarrow{AA^\prime}=\frac{54}{35}\overrightarrow{AI_A}\),   \(\displaystyle\overrightarrow{BB^\prime}=\frac{35}{96}\overrightarrow{BI_A}\),   \(\displaystyle\overrightarrow{CC^\prime}=\frac{56}{135}\overrightarrow{CI_A}\).
\(\displaystyle A^\prime=-\frac{17}{10}:\frac{675}{539}:\frac{7803}{5390}\),   \(\displaystyle B^\prime=-\frac{35}{128}:\frac{1967}{2112}:\frac{1445}{4224}\),   \(\displaystyle C^\prime=-\frac{14}{45}:\frac{100}{297}:\frac{1447}{1485}\).
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Hiroyasu Kamo