Lituus (mathematics)

In mathematics, a lituus spiral is a spiral in which (expressed in polar coordinates) of the angle is inversely proportional to the square of the radius. In formulas thus applies

This spiral, whose two branches depend on the sign of is asymptotic to the axis. Your turn points are included and.

The curve was named after the Roman Lituus, for the first time by Roger Cotes in a collection of papers entitled Harmonia Mensurarum (1722), published six years after his death.