Geodesic lines–Asymptotic lines –Surfaces of revolution of constant Gaussian curvature
#pseudosphere#surface of revolution#constant curvature#constant Gaussian curvature#negative curvature#geodesic line#asymptotic line#tractrix#Bacharach#Brill
Date of design: 1877Designer: J. Bacharach under supervision of Prof. Dr. L. Brill in TU München.Title in the catalog: (de) Die Rotationsfläche der Tractrix mit geodatischen und Haupttangenten-Curven
Size: 25x18 cmPrice in catalog: 11 marks (1911)
Pseudosphere is the surface of revolution of constant negative Gaussian curvature generated by rotation of a tractrix $t \mapsto \left(\sin t, \pm (\log \tan \frac{t}{2} + \cos t)\right)$, $0\leqslant t + \infty$
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