Editing Angle trisection (section)

===With a "tomahawk"===
{{main|Tomahawk (geometry)}}
[[File:Tomahawk2.svg|thumb|right|A tomahawk trisecting an angle. The tomahawk is formed by the thick lines and the shaded semicircle.]]

A "[[Tomahawk (geometry)|tomahawk]]" is a geometric shape consisting of a semicircle and two orthogonal line segments, such that the length of the shorter segment is equal to the circle radius. Trisection is executed by leaning the end of the tomahawk's shorter segment on one ray, the circle's edge on the other, so that the "handle" (longer segment) crosses the angle's vertex; the trisection line runs between the vertex and the center of the semicircle.

While a tomahawk is constructible with compass and straightedge, it is not generally possible to construct a tomahawk in any desired position.  Thus, the above construction does not contradict the nontrisectibility of angles with ruler and compass alone.

As a tomahawk can be used as a [[set square]], it can be also used for trisection angles by the method described in {{slink||With a right triangular ruler}}.

The tomahawk produces the same geometric effect as the paper-folding method: the distance between circle center and the tip of the shorter segment is twice the distance of the radius, which is guaranteed to contact the angle.  It is also equivalent to the use of an architects L-Ruler ([[Steel square#Carpenter's square|Carpenter's Square]]).