Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{3a}\) \((033)\)

\(\displaystyle\overrightarrow{AA^\prime}=\frac37\overrightarrow{AI_A}\),   \(\displaystyle\overrightarrow{BB^\prime}=\frac7{12}\overrightarrow{BI_A}\),   \(\displaystyle\overrightarrow{CC^\prime}=\frac7{27}\overrightarrow{CI_A}\).
\(\displaystyle A^\prime=\frac14:\frac{375}{1078}:\frac{867}{2156}\),   \(\displaystyle B^\prime=-\frac7{16}:\frac{235}{264}:\frac{289}{528}\),   \(\displaystyle C^\prime=-\frac7{36}:\frac{125}{594}:\frac{1169}{1188}\).
3a (033)

Hiroyasu Kamo