engleski

Theorems on Foci and Asymptotes of Conics in the Isotropic Plane

Every conic with foci in the isotropic plane can be represented by the equation of the form y^2 = ε x^2 + x, where ε is an element of {;− 1, 0, 1}; for an ellipse, a parabola and a hyperbola with foci respectively. Using this equation the important properties of the foci are being proved. According to duality the properties of asymptotes of the hyperbola in the isotropic plane are valid as well.

isotropic plane; conic section; focus

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