Definition:Conic Section/Intersection with Cone/Tilting Angle

Definition

 * ConicSections-All.png

Let $C$ be a double napped right circular cone whose base is $B$.

Let $D$ be a plane which intersects $C$.

Let $D$ be inclined at an angle $\phi$ with the axis of $C$.

Let $K$ be the conic section formed by the intersection of $C$ with $D$.

The inclination $\phi$ of the slicing plane with the axis of $C$ is known as the tilting angle of $D$ for $K$.

Also defined as
Some analyses find it more convenient to define the tilting angle as the inclination of $D$ with the horizontal.

It is necessary to specify which is meant in any dissertation which uses the concept.