Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{1b}\) \((103)\)

\(\displaystyle\overrightarrow{AA^\prime}=\frac{35}{288}\overrightarrow{AI_B}\),   \(\displaystyle\overrightarrow{BB^\prime}=\frac{18}{35}\overrightarrow{BI_B}\),   \(\displaystyle\overrightarrow{CC^\prime}=\frac{45}{14}\overrightarrow{CI_B}\).
\(\displaystyle A^\prime=\frac{5093}{5184}:-\frac{875}{7776}:\frac{2023}{15552}\),   \(\displaystyle B^\prime=\frac{11}{25}:\frac1{105}:\frac{289}{525}\),   \(\displaystyle C^\prime=\frac{11}4:-\frac{125}{42}:\frac{103}{84}\).
1b (103)

Hiroyasu Kamo