Trisectrix

A Trisektrix (derived from the Latin tri for three and sectus for split ) is a graph showing the (exact ) allows thirds any angle with compass and straightedge. The thirds of any angle with ruler and compass alone is not possible, you can, however, as ( only ) a further aid to Trisektrix, then such a trisection of any angle is possible.

The oldest examples of a Trisektrix have been known since ancient times, they include the Trisektrix of Hippias and the spiral of Archimedes. It is known especially the Trisektrix of Maclaurin, which is often cited in the literature as a standard example of a Trisektrix. They can be described by the equation and goes back to the mathematician Colin Maclaurin ( 1698-1746 ).

Other examples are:

• Tschirnhausen-Kubik/Catalansche Trisektrix ()
• Limaçon - Trisektrix
• Trisectrix of Longchamps