Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{7a}\) \((233)\)

\(\displaystyle\overrightarrow{AA^\prime}=-\frac1{35}\overrightarrow{AI_A}\),   \(\displaystyle\overrightarrow{BB^\prime}=-\frac{35}{16}\overrightarrow{BI_A}\),   \(\displaystyle\overrightarrow{CC^\prime}=-\frac75\overrightarrow{CI_A}\).
\(\displaystyle A^\prime=\frac{21}{20}:-\frac{25}{1078}:-\frac{289}{10780}\),   \(\displaystyle B^\prime=\frac{105}{64}:\frac{497}{352}:-\frac{1445}{704}\),   \(\displaystyle C^\prime=\frac{21}{20}:-\frac{25}{22}:\frac{239}{220}\).
7a (233)

Hiroyasu Kamo