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

• Results about conjugate triangles can be found here.

Sources

• 1933: D.M.Y. Sommerville: Analytical Conics (3rd ed.) ... (previous) ... (next): Chapter $\text {III}$. The Circle: $9$. Conjugate triangles