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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