engleski

Focal Curve within the Conic Pencils in I_2

Within the classification of conic pencils in the isotropic plane, which has been carried out using methods of analytical geometry and linear algebra, it is specially interesting to observe the curve of isotropic focuses, which it is shown to be a 3rd order curve. The properties of this very curve, for the discussed, most common subtype of conic pencils, are determined. It is shown that, referring to the selection of the fundamental points, it is possible to determine its shape, and to classify it according to the Newton's principle. The discussed cases of conic pencils with its focal curves are illustrated with the figures programmed and drawn by Mathematica . Key words: isotropic plane, fundamental points, pencil of conic sections, focal curve, Newton's classification.

isotropic plane; fundamental points; pencil of conic sections; focal curve; Newton's classification

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