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# Reihe V, Nr 422

## Movable one sheeted hyperboloid, half, with reverse.

**Mathematical description**

A one sheeted hyperboloid is a surface of revolution obtained by rotating a hyperbola about the perpendicular bisector of the
line between its foci. When oriented along the *z*-axis, the one-sheeted circular hyperboloid with skirt radius *a* has
Cartesian equation:

x^{2} y^{2} z^{2}
--- + --- - --- = 1.
a^{2} a^{2} c^{2}

It can also be seen as a ruled surface, and therefore, with an infinite number of lines on it. Some of these lines are
represented in the model, and are movable. The model shows only half of the hyperboloid, and it can be turned inside out.
**Title model and translation**

Bewegliches einschaliges Hyperboloid, halb, zum Umstülpen

Movable one sheeted hyperboloid, half, with reverse

**Text sticker and translation**

No sticker.

**Designer**

O. Henrici in Londen.

**Company**

H. Wiener in Dresden

**Original price**

Mark 25,-

**Dimension**

19 cm

**Material**

Metal

**Literature**

Verzeignis Mathematischer modelle; H. Wieners sammlung mathematischer modelle, Verlagsbuchhandlung
B.G.Teubner, Leipzig, 1905