Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{0c}\) \((110)\)

\(\displaystyle\overrightarrow{AA^\prime}=\frac{44}{135}\overrightarrow{AI_C}\),   \(\displaystyle\overrightarrow{BB^\prime}=\frac{15}{44}\overrightarrow{BI_C}\),   \(\displaystyle\overrightarrow{CC^\prime}=\frac{108}{55}\overrightarrow{CI_C}\).
\(\displaystyle A^\prime=\frac{2303}{2160}:\frac{275}{648}:-\frac{3179}{6480}\),   \(\displaystyle B^\prime=\frac{105}{256}:\frac{1553}{1408}:-\frac{1445}{2816}\),   \(\displaystyle C^\prime=\frac{189}{80}:\frac{225}{88}:-\frac{3449}{880}\).
0c (110)

Hiroyasu Kamo