\begin{definition}[Definition:Conjugate Triangles]
Let $\CC$ be a circle.
Let $\triangle PQR$ be a triangle.
Let:
:$P'$ be the pole of $QR$
:$Q'$ be the pole of $PR$
:$R'$ be the pole of $PQ$
with respect to $\CC$.
Then $\triangle PQR$ and $\triangle P'Q'R'$ are said to be '''conjugate triangles with respect to $\CC$'''.
\end{definition}