High Quality Content by WIKIPEDIA articles! In geometry, a trisectrix is a curve which can be used to trisect an arbitrary angle. Such a method falls outside those allowed by compass and straightedge constructions, so they do not contradict the well known theorem which states that an arbitrary angle cannot be trisected with that type of construction. There are a variety of such curves and the methods used t ...Full description
High Quality Content by WIKIPEDIA articles! In geometry, a trisectrix is a curve which can be used to trisect an arbitrary angle. Such a method falls outside those allowed by compass and straightedge constructions, so they do not contradict the well known theorem which states that an arbitrary angle cannot be trisected with that type of construction. There are a variety of such curves and the methods used to construct an angle trisector differ according to the curve. Examples include: * Limaçon trisectrix (some sources refer to this curve as simply the trisectrix.) * Trisectrix of Maclaurin * Equilateral trefoil (aka Longchamps' Trisectrix) * Tschirnhausen cubic (aka Catalan's trisectrix and L'hospital's cubic) * Durer's folium * Cubic parabola * Hyperbola with eccentricity 2 * Rose with 3 petals * Parabola