Definition:Diameter of Central Conic/Also defined as

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Some sources define the diameter of a central conic $\KK$ as a chord of $\KK$ which passes through the center of $\KK$.

This is a perfectly adequate definition of a diameter of an ellipse.

Indeed, in the context of a circle, this is how a diameter is routinely defined.

However, it falls short of providing a full definition of the diameter of a hyperbola.

Hence, for the general central conic, and one that is not specifically a circle, this definition is not used on $\mathsf{Pr} \infty \mathsf{fWiki}$.

Also see

  • Results about diameters of conic sections can be found here.