Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{3}\) \((022)\)

\(\displaystyle\overrightarrow{AA^\prime}=\frac{27}{11}\overrightarrow{AI}\),   \(\displaystyle\overrightarrow{BB^\prime}=\frac{11}{27}\overrightarrow{BI}\),   \(\displaystyle\overrightarrow{CC^\prime}=\frac{11}{12}\overrightarrow{CI}\).
\(\displaystyle A^\prime=-\frac{79}{110}:\frac{675}{847}:\frac{7803}{8470}\),   \(\displaystyle B^\prime=\frac{11}{90}:\frac{137}{189}:\frac{289}{1890}\),   \(\displaystyle C^\prime=\frac{11}{40}:\frac{25}{84}:\frac{359}{840}\).
3 (022)

Hiroyasu Kamo