Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{4a}\) \((211)\)

\(\displaystyle\overrightarrow{AA^\prime}=-\frac87\overrightarrow{AI_A}\),   \(\displaystyle\overrightarrow{BB^\prime}=-\frac{63}{32}\overrightarrow{BI_A}\),   \(\displaystyle\overrightarrow{CC^\prime}=-\frac{14}9\overrightarrow{CI_A}\).
\(\displaystyle A^\prime=3:-\frac{500}{539}:-\frac{578}{539}\),   \(\displaystyle B^\prime=\frac{189}{128}:\frac{965}{704}:-\frac{2601}{1408}\),   \(\displaystyle C^\prime=\frac76:-\frac{125}{99}:\frac{217}{198}\).
4a (211)

Hiroyasu Kamo