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CUBICAL PARABOLA

Curve studied by Newton and Leibniz in 1675. |

Reduced Cartesian equation: .
Polynomial cubic with a cuspidal point (at infinity in the direction Oy). |

The cubical parabolas are representations of the polynomial functions of degree 3.

Because of their inflection point, they are used to trace railway junctions, under the name of Nördling parabola (see radioid with curvature proportional to the curvilinear abscissa, and this
article).

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© Robert FERRÉOL 2017