Definition:Conjugate Lines of Conic Section

This page is about conjugate lines. For other uses, see conjugate.

Definition

Let $\KK$ be a conic section.

Let $\PP$ and $\QQ$ be the straight lines in the plane of $\KK$.

Let $P$ and $Q$ be the poles of $\PP$ and $\QQ$ respectively with respect to $\KK$.

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 $\KK$.

Also see

• Results about conjugate lines can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): conjugate lines (of a conic)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): conjugate lines (of a conic)