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Articles written by R. Friedberg and R.H. Good in the American Journal of Physics focused on the link between the surface charge density functions on a conducting disk and a conducting sphere that has the same charge. Computations show that the same concept applies in the acquisition of the charge densities of both elliptic disks and charged conducting ellipsoids. In addition, the charge distribution of ellipsoids can also be determined using the elliptic disk's principal cross section.