engleski

Curvature of the Focal Conic in Isotropic Plane

In the paper Beban-Brkić, Šimić, Volenec : On Foci and Asymptotes of conics in Isotropic Plane there is shown that every focal conic C in the isotropic plane can be represented by the equation y^2 = ε x^2 + x, ε is an element of {; ; ; ; ; ; ; − 1, 0, 1}; ; ; ; ; ; ; and parametrized. This paper gives the equation of the circle of curvature at the point T of the focal conic C. The radius of curvature r at the point T of the focal conic C is given as well as its relation to the span d from the center of C to the tangent t at the point T and to the length of the half diameter of C on the diameter parallel to the tangent t.

isotropic plane; conic; circle of curvature

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