The impossibility of trisecting an arbitrary angle using only a compass and straightedge has been established, with exceptions for specific angles such as 90 degrees and 180 degrees. This conclusion is rooted in algebraic concepts from group theory. For further exploration, resources such as the Geometry Forum and Jim Loy's geometry website provide detailed discussions and proofs related to this topic.
PREREQUISITESMathematicians, geometry enthusiasts, students of algebra and group theory, and anyone interested in the limitations of classical geometric constructions.
murshid_islam said:i have read that it has been proven that an angle cannot be trisected using just a compass and a straight-edge (unless it is some specific angle, e.g., 90 degrees or 180 degrees). can anyone tell me where i can find the proof? can anyone suggest any website?