Abstract

In 1809 J. IVORY found a distance relation between any two confocal ellipsoids in Euclidean space E3. After that, the “theorem of IVORY” has been formulated for any two nondegenerate confocal quadrics of the same type. In this paper we succeed in completing these results and in formulating and proving them uniformly for any two quadrics of the same type belonging to a general system of confocal quadrics.

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