Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{2a}\) \((031)\)

\(\displaystyle\overrightarrow{AA^\prime}=\frac{27}{55}\overrightarrow{AI_A}\),   \(\displaystyle\overrightarrow{BB^\prime}=\frac{55}{12}\overrightarrow{BI_A}\),   \(\displaystyle\overrightarrow{CC^\prime}=\frac{11}{135}\overrightarrow{CI_A}\).
\(\displaystyle A^\prime=\frac{31}{220}:\frac{675}{1694}:\frac{7803}{16940}\),   \(\displaystyle B^\prime=-\frac{55}{16}:\frac{23}{168}:\frac{1445}{336}\),   \(\displaystyle C^\prime=-\frac{11}{180}:\frac{25}{378}:\frac{3761}{3780}\).
2a (031)

Hiroyasu Kamo