Definition:Conjugate Lines
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This page is about Conjugate Lines. For other uses, see Conjugate.
Definition
Let $\CC$ be a circle.
Let $\PP$ and $\QQ$ be the straight lines in the plane of $\CC$.
Let $P$ and $Q$ be the poles of $\PP$ and $\QQ$ with respect to $\CC$ respectively.
Let $P$ and $Q$ be such that $P$ lies on $\QQ$ and $Q$ lies on $\PP$.
Then $\PP$ and $\QQ$ are known as conjugate lines with respect to $\CC$.
Also see
- Results about conjugate lines can be found here.
Sources
- 1933: D.M.Y. Sommerville: Analytical Conics (3rd ed.) ... (previous) ... (next): Chapter $\text {III}$. The Circle: $8$. Reciprocal property of pole and polar