engleski

On foci and asymptotes of conics in the isotropic plane

The paper shows that every conic with foci in the isotropic plane can be represented by the equation of the form $y^2 = \epsilon x^2 +x$, where $\epsilon \in\{; ; ; ; ; -1, 0, 1\}; ; ; ; ; $ for an ellipse, a parabola and a hyperbola with foci respectively. Using this equation some importaint properties of the foci are proved. According to duallity the properties of asymptotes of the hyperbola in the isotropic plane are valid as well.

isotropic plane; conic section; focus

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