Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{4b}\) \((301)\)

\(\displaystyle\overrightarrow{AA^\prime}=\frac{165}{32}\overrightarrow{AI_B}\),   \(\displaystyle\overrightarrow{BB^\prime}=\frac{24}{55}\overrightarrow{BI_B}\),   \(\displaystyle\overrightarrow{CC^\prime}=\frac5{66}\overrightarrow{CI_B}\).
\(\displaystyle A^\prime=\frac{49}{192}:-\frac{1375}{288}:\frac{3179}{576}\),   \(\displaystyle B^\prime=\frac{28}{75}:\frac{79}{495}:\frac{1156}{2475}\),   \(\displaystyle C^\prime=\frac7{108}:-\frac{125}{1782}:\frac{3583}{3564}\).
4b (301)

Hiroyasu Kamo