Definition:Conjugate Points (Geometry)

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This page is about Conjugate Points in the context of Geometry. For other uses, see Conjugate.

Definition

Let $\KK$ be a conic section.

Let $P$ and $Q$ be points in the plane of $\KK$.

Let:

$P$ lie on the polar of $Q$
$Q$ lie on the polar of $P$.


$P$ and $Q$ are known as conjugate points with respect to $\KK$.


Conjugate Points with respect to Circle

Let $\CC$ be a circle.

Let $P$ and $Q$ be points in the plane of $\CC$.

Let:

$P$ lie on the polar of $Q$
$Q$ lie on the polar of $P$.


$P$ and $Q$ are known as conjugate points with respect to $\CC$.


Also see

  • Results about conjugate points can be found here.


Sources