Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{2}\) \((020)\)

\(\displaystyle\overrightarrow{AA^\prime}=\frac{15}7\overrightarrow{AI}\),   \(\displaystyle\overrightarrow{BB^\prime}=\frac7{135}\overrightarrow{BI}\),   \(\displaystyle\overrightarrow{CC^\prime}=\frac{35}{12}\overrightarrow{CI}\).
\(\displaystyle A^\prime=-\frac12:\frac{375}{539}:\frac{867}{1078}\),   \(\displaystyle B^\prime=\frac7{450}:\frac{1433}{1485}:\frac{289}{14850}\),   \(\displaystyle C^\prime=\frac78:\frac{125}{132}:-\frac{217}{264}\).
2 (020)

Hiroyasu Kamo