Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{2c}\) \((130)\)

\(\displaystyle\overrightarrow{AA^\prime}=\frac{14}{135}\overrightarrow{AI_C}\),   \(\displaystyle\overrightarrow{BB^\prime}=\frac{30}7\overrightarrow{BI_C}\),   \(\displaystyle\overrightarrow{CC^\prime}=\frac{27}{70}\overrightarrow{CI_C}\).
\(\displaystyle A^\prime=\frac{4411}{4320}:\frac{175}{1296}:-\frac{2023}{12960}\),   \(\displaystyle B^\prime=\frac{165}{32}:\frac{257}{112}:-\frac{1445}{224}\),   \(\displaystyle C^\prime=\frac{297}{640}:\frac{225}{448}:\frac{151}{4480}\).
2c (130)

Hiroyasu Kamo