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Serie XXX, Nr 3

Models of a surface of order three, for the explanation of the behavior of a curved surface close to a parabolic point.


  

Mathematical description
This model illustrates a surface of order three. On the front side, it contains hyperbolic points, and on the back side, elliptic ones. Both sides are separated by a curve of parabolic points, in this case, a parabola of order two. Its aim is to explain the behavior of a surface that is closed to a parabolic point. It shows all three different kinds of curvature of a surface. At the same time it is an approximation of a parabolic point.

Title model and translation
Modelle einer Fläche dritter Ordnung, zur Erläuterung des Verhaltens einer krummen Fläche in der Nähe eines parabolischen Punktes.
Models of a surface of order three, for the explanation of the behavior of a curved surface close to a parabolic point.

Text on Sticker and translation
Osculations fläche In einem parabolischen Punkte.
Osculation surface into parabolic points.

Designer
O. Losehand and W. Quidde under supervision of Prof. Dr. P. Stäckel.
Kiel in 1903, 1905, 1909 of 1910

Company
Martin Schilling in Halle a.S.

Original price
Mark 7,50

Dimension
15 cm

Material
Plaster

Literature
Schilling, M., Catalog mathematischer Modelle für den höheren mathematischen Unterricht, Leipzig: Verlag von Martin Schilling, 1911