Geodesic lines–Minimal surfaces

#constant curvature#constant mean curvature#minimal surface#geodesic line#surface of revolution#catenary#Bacharach#Brill

Date of design: 1877

Designer: J. Bacharach under supervision of Prof. Dr. L. Brill in TU München

Title in the catalog: (de) Die Rotationsflächen constanter mittlerer Krümmung nebst geodatischen Linien. Catenoid

Size: 18x10 cm

Price in the catalog: 9.50 marks (1911)

Catenoid is a non-compact surface of revolution obtained after rotation of a catenary line $y = a \cosh \frac{x}{a}$ around the $x$-axis. It is an example of a surface with zero mean curvature (so-called, minimal surface).Line drawn on the model are geodesic lines.

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