Definition:Conic Section/Center

Definition
The center of a section is the point midway between the foci.

Center of Circle
The circle is usually treated differently.

From Circle has Two Coincident Foci, the foci and the center are all the same point.


 * Circle.png

Center of Ellipse
Let $K$ be an ellipse.


 * EllipseParts.png

Center of Hyperbola
Let $K$ be a hyperbola.


 * HyperbolaParts.png

Center of Parabola
Note that the parabola has no center.