engleski

Curvature of the Focal Conic in the Isotropic Plane

It has been shown that every focal conic C in the isotropic plane can be represented by the equation y^2 = ε x^2 + x, ε is element of {; ; ; ; ; − 1, 0, 1}; ; ; ; ; ; and a parametrization. This paper gives the equation of the circle of curvature at the point T of the focal conic C. The radius of curvature ρ at the point T of the focal conic C is given as well as its relation to the span δ 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

nije evidentirano