Angle trisection

Angle trisection is the process of dividing a given angle into three equal parts using only a straightedge and compass. It’s a classical problem in geometry that dates back to ancient Greece, where mathematicians sought exact constructions for dividing angles precisely. While some angles can be trisected easily, it’s proven that not all angles can be divided into exactly three equal segments using only these tools, due to underlying mathematical constraints. Nonetheless, angle trisection remains an important concept, illustrating the complexities of geometric construction and the limitations of classical methods.