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Serie V, Nr 2a

Surface of revolution with constant positive curvature with geodesics. The sphere.


   

Mathematical description
This model is a surface of revolution generated by rotating a curve about an axis. In this case, the surface is the sphere. There were geodesics on this model. Unfortunately they dissapeared, probably by some attempt of repearing the model. A geodesic on a surface is a length-minimizing curve between two points. In this case, the geodesics are the meridians and parallels on the sphere. A meridian of the surface is the intersection of the surface with a plane containing the axis of revolution.

Title model and translation
Rotationsflächen von constantem positiven Krümmungsmass mit geodätischen Linien. Die Kugel.
Surface of revolution with constant positive curvature with geodesics. The sphere.

Text on Sticker and translation
Rotationsfl. const. posit Krümmung.
Surface of revolution with constant positive curvature.

Designer
E. Bour under the supervision of Dr. A. Brill
München in 1880

Company
Martin Schilling in Halle a.S.

Original price
Mark 1,25

Dimension
9-9-9 cm

Material
Plaster

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