Abstract
AbstractThe main objective of this work is focused on classifying the families of curves defined by the intersection of an arbitrary ellipsoid with an arbitrary torus, sharing the same center, based on the number of their connected components and on the number of their auto-intersection points. The graphic geometric representation of these curves, in GeoGebra, and the respective algebraic descriptions, supported from a theoretical and computational point of view, were of fundamental importance for the development of this work. In this paper, we describe a procedure and the necessary implementations to achieve the objective outlined.KeywordsGeoGebraToric sectionsQuadricsIntersection curves
Published Version
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