Triangle is Self-Conjugate to Unique Circle
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Theorem
Let $\triangle PQR$ be a triangle.
Then there exists exactly one circle $\CC$ such that $\triangle PQR$ is self-conjugate with respect to $\CC$.
Proof
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Sources
- 1933: D.M.Y. Sommerville: Analytical Conics (3rd ed.) ... (previous) ... (next): Chapter $\text {III}$. The Circle: $9$. Conjugate triangles: Example $2$