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# Reihe V, Nr 421

## Movable one sheeted hyperboloïd.

**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.
**Title model and translation**

Bewegliches einschliges Hyperboloid.

Movable one sheeted hyperboloïd.

**Text sticker and translation**

No sticker.

**Designer**

O. Henrici in Londen.

**Company**

H. Wiener in Dresden

**Original price**

Mark 35,-

**Dimension**

36 cm

**Material**

Metal

**Literature**

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