One method accomplishing this task marks two parallel lines above a ray, creating equal spaces, then folds the paper they are on so that a corner touches the middle line.
One method accomplishing this task marks two parallel lines above a ray, creating equal spaces, then folds the paper they are on so that a corner touches the middle line. Another method for this task uses a semicircle with two perpendicular segments called a tomahawk. Using classical tools, it can be approximated by infinitely alternating sides with a process that involves drawing three arcs. The function four x cubed minus three x equals a constant is used to determine whether the classical version of this task can be done. That equation was used by Pierre Wantzel to prove that this task, like (*) doubling the cube, is impossible using only a straightedge-and-compass. Identify this task that involves dividing the space between rays into a certain number of equal parts.
One method accomplishing this task marks two parallel lines above a ray, creating equal spaces, then folds the paper they are on so that a corner touches the middle line.
{angle trisection} [accept any answer that indicates dividing an {angle} into {three equal parts} or {dividing an angle by three}]