Derousseau's Generalization of the Malfatti circles

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


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\(\mathbf{1c}\)   \((112)\)

\(\displaystyle\overrightarrow{AA^\prime}=-\frac{1+\sqrt{3}}2\overrightarrow{AI_C}\),   \(\displaystyle\overrightarrow{BB^\prime}=-\frac{1+\sqrt{3}}2\overrightarrow{BI_C}\),   \(\displaystyle\overrightarrow{CC^\prime}=-\frac{1+\sqrt{3}}2\overrightarrow{CI_C}\).
1c (112)

Hiroyasu Kamo