Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{1a}\) \((013)\)

\(\displaystyle\overrightarrow{AA^\prime}=\frac6{11}\overrightarrow{AI_A}\),   \(\displaystyle\overrightarrow{BB^\prime}=\frac{11}{96}\overrightarrow{BI_A}\),   \(\displaystyle\overrightarrow{CC^\prime}=\frac{88}{27}\overrightarrow{CI_A}\).
\(\displaystyle A^\prime=\frac1{22}:\frac{375}{847}:\frac{867}{1694}\),   \(\displaystyle B^\prime=-\frac{11}{128}:\frac{1315}{1344}:\frac{289}{2688}\),   \(\displaystyle C^\prime=-\frac{22}9:\frac{500}{189}:\frac{151}{189}\).
1a (013)

Hiroyasu Kamo