Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{6b}\) \((321)\)

\(\displaystyle\overrightarrow{AA^\prime}=-\frac{105}{16}\overrightarrow{AI_B}\),   \(\displaystyle\overrightarrow{BB^\prime}=-\frac3{35}\overrightarrow{BI_B}\),   \(\displaystyle\overrightarrow{CC^\prime}=-\frac{20}{21}\overrightarrow{CI_B}\).
\(\displaystyle A^\prime=\frac{187}{96}:\frac{875}{144}:-\frac{2023}{288}\),   \(\displaystyle B^\prime=-\frac{11}{150}:\frac{367}{315}:-\frac{289}{3150}\),   \(\displaystyle C^\prime=-\frac{22}{27}:\frac{500}{567}:\frac{529}{567}\).
6b (321)

Hiroyasu Kamo