Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{5}\) \((202)\)

\(\displaystyle\overrightarrow{AA^\prime}=\frac5{14}\overrightarrow{AI}\),   \(\displaystyle\overrightarrow{BB^\prime}=\frac{14}5\overrightarrow{BI}\),   \(\displaystyle\overrightarrow{CC^\prime}=\frac{35}{32}\overrightarrow{CI}\).
\(\displaystyle A^\prime=\frac34:\frac{125}{1078}:\frac{289}{2156}\),   \(\displaystyle B^\prime=\frac{21}{25}:-\frac{49}{55}:\frac{289}{275}\),   \(\displaystyle C^\prime=\frac{21}{64}:\frac{125}{352}:\frac{223}{704}\).
5 (202)

Hiroyasu Kamo