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SURFACE OF AXIAL REVOLUTION OF THE CATENARY

Homemade name. |

Cylindrical equation: .
Cartesian parametrization: (). |

Surface of revolution generated by the rotation of the catenary around its symmetry axis (whereas the catenoid is the surface of revolution generated by the rotation of the catenary around its *base*).

Opposite, view of this surface along with one of its rhumb lines, the calculation of which is fairly easy:
with . |

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© Robert FERRÉOL 2017