Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{1c}\) \((112)\)

\(\displaystyle\overrightarrow{AA^\prime}=-\frac{28}{27}\overrightarrow{AI_C}\),   \(\displaystyle\overrightarrow{BB^\prime}=-\frac{27}{28}\overrightarrow{BI_C}\),   \(\displaystyle\overrightarrow{CC^\prime}=-\frac{12}7\overrightarrow{CI_C}\).
\(\displaystyle A^\prime=\frac{341}{432}:-\frac{875}{648}:\frac{2023}{1296}\),   \(\displaystyle B^\prime=-\frac{297}{256}:\frac{635}{896}:\frac{2601}{1792}\),   \(\displaystyle C^\prime=-\frac{33}{16}:-\frac{125}{56}:\frac{593}{112}\).
1c (112)

Hiroyasu Kamo