Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{4c}\) \((310)\)

\(\displaystyle\overrightarrow{AA^\prime}=\frac{44}9\overrightarrow{AI_C}\),   \(\displaystyle\overrightarrow{BB^\prime}=\frac1{11}\overrightarrow{BI_C}\),   \(\displaystyle\overrightarrow{CC^\prime}=\frac4{11}\overrightarrow{CI_C}\).
\(\displaystyle A^\prime=\frac{287}{144}:\frac{1375}{216}:-\frac{3179}{432}\),   \(\displaystyle B^\prime=\frac7{64}:\frac{1085}{1056}:-\frac{289}{2112}\),   \(\displaystyle C^\prime=\frac7{16}:\frac{125}{264}:\frac{47}{528}\).
4c (310)

Hiroyasu Kamo