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Serie I, Nr 5

The geodesics on a 3-axis ellipsoid through the umbilic point.


  

Mathematical description
The model represents an ellipsoid with three different axis. In this case, the ellipsoid is given by the equation:

                 x2    y2    z2
                --- + --- — ---  = 1
                 1     2     3
The model represents the geodesics that pass through an umbilical point, i.e., a point on the ellipsoid at which the curvature is the same in any direction. A geodesic is a locally length minimizing curve.

Title model and translation
Die Geodätischen Linien durch die Nabelpunkte des dreiaxigen Ellipsoids.
The geodesics on a 3-axis ellipsoid through the umbilic point.

Text on Sticker and translation
Geodät linien des Ellipsoids.
The geodesics on an ellipsoid.

Designer
K. Rohn under the supervision of Dr. A. Brill
München in 1877

Company
Martin Schilling in Halle a.S.

Original price
Mark 7,-

Dimension
10-18-18 cm

Material
Plaster

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