Derousseau's Generalization of the Malfatti circles

\(A=60\degree\), \(B=60\degree\), \(C=60\degree\)


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\(\mathbf{3b}\)   \((123)\)

\(\displaystyle\overrightarrow{AA^\prime}=-\frac{3\sqrt{3}-3}2\overrightarrow{AI_B}\),   \(\displaystyle\overrightarrow{BB^\prime}=-\frac{-1+\sqrt{3}}6\overrightarrow{BI_B}\),   \(\displaystyle\overrightarrow{CC^\prime}=-\frac{5+3\sqrt{3}}2\overrightarrow{CI_B}\).
3b (123)

Hiroyasu Kamo