Angle trisection is a classical problem of straightedge and compass construction of ancient Greek mathematics. It concerns construction of an angle equal...

example, the angle 2π/5 radians (72° = 360°/5) can be trisected, but the angle of π/3 radians (60°) cannot be trisected. The general trisection problem is...

construction (without trisector) if and only if it has a rational root. This implies that the old problems of angle trisection and doubling the cube,...

geometry, Morley's trisector theorem states that in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral...

\left[\arccos \left(x\right)/3\right]} is an algebraic function, equivalent to angle trisection. The distinction between the reducible and irreducible cubic cases...

Apollonius of Perga, a hyperbola can be used to trisect any angle, a well studied problem of geometry. Given an angle, first draw a circle centered at its vertex...

105-, 108-, 109-, 111-, 112-, 114-, 117-, 119-, and 126-gons with angle trisection. However, it is not known in general if all quintics (fifth-order polynomials)...

The tomahawk is a tool in geometry for angle trisection, the problem of splitting an angle into three equal parts. The boundaries of its shape include...

Gaudyklė in Lithuania. Palmanova in Italy. Enneagram (nonagram) Trisection of the angle 60°, Proximity construction Weisstein, Eric W. "Nonagon". MathWorld...

Hippias of Elis, who used it around 420 BC in an attempt to solve the angle trisection problem (hence trisectrix). Later around 350 BC Dinostratus used it...