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HYPERBOLIC CONICAL SPIRAL

Curve studied by Schiffner in 1882. |

Cylindrical equation: ; Cartesian parametrization: . |

The hyperbolic conical spirals are the spirals traced on a cone of revolution that can be projected on the plane perpendicular to the axis onto a hyperbolic spiral with center the vertex of the cone.

The trace of the tangent on xOy is a circle, and this property is a characterization. |

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© Robert FERRÉOL 2018