Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{3c}\) \((132)\)

\(\displaystyle\overrightarrow{AA^\prime}=-\frac{22}{27}\overrightarrow{AI_C}\),   \(\displaystyle\overrightarrow{BB^\prime}=-\frac{54}{11}\overrightarrow{BI_C}\),   \(\displaystyle\overrightarrow{CC^\prime}=-\frac3{22}\overrightarrow{CI_C}\).
\(\displaystyle A^\prime=\frac{721}{864}:-\frac{1375}{1296}:\frac{3179}{2592}\),   \(\displaystyle B^\prime=-\frac{189}{32}:-\frac{85}{176}:\frac{2601}{352}\),   \(\displaystyle C^\prime=-\frac{21}{128}:-\frac{125}{704}:\frac{1889}{1408}\).
3c (132)

Hiroyasu Kamo