Definition:Central Conic

Definition
A central conic is a conic section which has a center of symmetry.

Hence a central conic is a conic section which is a circle, an ellipse or a hyperbola.

Also defined as
Many sources define a central conic as a conic section which is either an ellipse or a hyperbola.

However, this coincides with the definition as given here, given Circle is Ellipse with Equal Major and Minor Axes.