Construction of an angle bisector using arcs and intersecting lines.

- The construction shown is for copying an angle.
- First, an arc is drawn from the vertex of the original angle (point X) intersecting both rays at points M and N.
- Then, a ray is drawn from the new vertex (point P).
- An arc with the same radius is drawn from point P, intersecting the new ray at point Q.
- The distance between points M and N is measured with a compass.
- This distance is then used to draw an arc from point Q, intersecting the previous arc at point F.
- Finally, a ray is drawn from point P through point F, creating the copied angle.