Authors: Joseph Musonda
Trisecting an arbitrary angle using a straightedge and compass only has been one of the oldest mathematical geometric problem tracing back to Euclidian times. This problem was never solved until 1837 when it was proven impossible by French Mathematician Pierre Wantzel. As stated by Pierre Laurent Wantzel (1837), the solution of the angle trisection problem corresponds to an implicit solution of the cubic equation x cubed minus 3x minus 1 equals 0, which is algebraically irreducible, and so is the geometric solution of the angle trisection problem. This method explained here can trisect any acute arbitrary angle. Only a compass and straightedge is used. The formal proof is later given after a practical illustration. For practical sake and to prove the possibility of trisecting an arbitrary angle, the author used the most common angle of 60 degrees that mathematicians uses to explain the proof for impossibility. The author believes that this proof will act as a basis for further research in geometry in future.Keywords: trisecting, arbitrary angle, geometry, straightedge and compas, implicit solution
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