Derousseau's Generalization of the Malfatti circles

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


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\(\displaystyle\overrightarrow{AA^\prime}=\frac1{22}\overrightarrow{AI}\),   \(\displaystyle\overrightarrow{BB^\prime}=\frac{22}9\overrightarrow{BI}\),   \(\displaystyle\overrightarrow{CC^\prime}=\frac{99}{32}\overrightarrow{CI}\).
\(\displaystyle A^\prime=\frac{213}{220}:\frac{25}{1694}:\frac{289}{16940}\),   \(\displaystyle B^\prime=\frac{11}{15}:-\frac{41}{63}:\frac{289}{315}\),   \(\displaystyle C^\prime=\frac{297}{320}:\frac{225}{224}:-\frac{2089}{2240}\).
4 (200)

Hiroyasu Kamo