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,...

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

solvable by means of compass and straightedge alone. Examples are the trisection of any angle in three equal parts, and the doubling of the cube. Mathematicians...

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

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...

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...

straightedge construction of angle trisection to the algebraic problem of solving a cubic equation, which allows one to prove that trisection is in general impossible...

{\overline {OA}}=12,} according to Andrew M. Gleason, based on the angle trisection by means of the Tomahawk (light blue). An approximate construction...