Derousseau's Generalization of the Malfatti circles

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


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\(\displaystyle\overrightarrow{AA^\prime}=\frac{27}{14}\overrightarrow{AI}\),   \(\displaystyle\overrightarrow{BB^\prime}=\frac{56}{27}\overrightarrow{BI}\),   \(\displaystyle\overrightarrow{CC^\prime}=\frac7{96}\overrightarrow{CI}\).
\(\displaystyle A^\prime=-\frac7{20}:\frac{675}{1078}:\frac{7803}{10780}\),   \(\displaystyle B^\prime=\frac{28}{45}:-\frac{119}{297}:\frac{1156}{1485}\),   \(\displaystyle C^\prime=\frac7{320}:\frac{25}{1056}:\frac{10079}{10560}\).
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Hiroyasu Kamo