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Serie VI, Nr 6a

The space curve of order three on cylinders of second order; the ellipse of order three.


Mathematical description
This model is a space curve represented on an elliptic cylinder. This curve is the intersection of the elliptic cylinder and a cone. The elliptic cylinder is:

                 x2   y2
                --- + ---  =  1,   z = z.
                 a2   b2
A cone can be represented by:
                 1
                --- (x2+y2)=z2.
                 r2

Title model and translation
Die Raumcurven dritter Ordnung auf Cylindern zweiter Ordnung, Die cubische Ellipse.
The space curve of order three on cylinders of second order; the ellipse of order three.

Text on Sticker and translation
Raumcurve 3. Ordnung.
Area curve of order three.

Designer
E. Lange under the supervision of Prof Dr. Klein
München in 1880

Company
L. Brill in Darmstadt

Original price
Mark 20,50

Dimension
10,5-6,5 cm

Material
Plaster

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