trisector

/traɪˈsɛktər/
noun
  1. A line, ray, or segment that divides an angle or line into three equal parts.
    • Finding the trisector of a given angle is not always possible with just a compass and straightedge.
    • The student labeled each trisector on the geometry homework.
    • In the diagram, the trisector of the angle was drawn with a dashed line.