Category:Chords of Contact

This category contains results about Chords of Contact.
Definitions specific to this category can be found in Definitions/Chords of Contact.

Circle

Let $\CC$ be a circle embedded in the plane.

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

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

Let:

$\TT_1$ touch $\CC$ at $U$

$\TT_2$ touch $\CC$ at $V$.

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

Ellipse

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 a tangents to $\CC$ 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 $P$.