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Euler Triangle Formula

Let $O$ and $I$ be the Circumcenter and Incenter of a Triangle with Circumradius $R$ and Inradius $r$. Let $d$ be the distance between $O$ and $I$. Then

\begin{displaymath}
d^2=R^2-2rR.
\end{displaymath}




© 1996-9 Eric W. Weisstein
1999-05-25