Definition:Chord of Contact/Ellipse

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Definition

Let $\EE$ be an ellipse embedded in the plane.

Let $P$ be a point also embedded in the plane which is outside the boundary of $\EE$.

Let $\TT_1$ and $\TT_2$ be tangents to $\EE$ passing through $P$.


Let:

$\TT_1$ touch $\EE$ at $U$
$\TT_2$ touch $\EE$ at $V$.


$UV$ is known as the chord of contact on $\EE$ with respect to $P$.


Also see

  • Results about chords of contact can be found here.