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A Procedure for Trisecting an Acute Angle
2022
Advances in Pure Mathematics
This paper presents a graphical procedure, using an unmarked straightedge and compass only, for trisecting an arbitrary acute angle. The procedure, when applied to the 30˚ angle that has been "proven" to be not trisectable, produced a construction having the identical angular relationship with Archimedes' Construction, in which the required trisection angle was found to be exactly one-third of the given angle (or ∠E'MA = 1/3∠E'CG = 10˚), as shown in Figure 1 (D) and Figure 1 (E) and Section 4
doi:10.4236/apm.2022.122005
fatcat:f3ccjcmnpvdk7ldskhjq6ejftu