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Anticomplementary Triangle

\begin{figure}\begin{center}\BoxedEPSF{anticomplementary_triangle.epsf scaled 810}\end{center}\end{figure}

A Triangle $\Delta A'B'C'$ which has a given Triangle $\Delta ABC$ as its Medial Triangle. The Trilinear Coordinates of the anticomplementary triangle are

$\displaystyle A'$ $\textstyle =$ $\displaystyle -a^{-1}:b^{-1}:c^{-1}$  
$\displaystyle B'$ $\textstyle =$ $\displaystyle a^{-1}:-b^{-1}:c^{-1}$  
$\displaystyle C'$ $\textstyle =$ $\displaystyle a^{-1}:b^{-1}:-c^{-1}.$  

See also Medial Triangle




© 1996-9 Eric W. Weisstein
1999-05-25