Definition:Conjugate Triangles

Definition
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 $\CC$.

Also see

 * Triangle Conjugacy is Mutual