Matrix Science Mathematic (MSMK)

A UNIQUE METHOD FOR THE TRISECTION OF AN ARBITRARY ANGLE

June 26, 2023 Posted by Natasha In MSMK

ABSTRACT

A UNIQUE METHOD FOR THE TRISECTION OF AN ARBITRARY ANGLE

Journal: Matrix Science Mathematic (MSMK)
Author: Probir Roy

This is an open access article distributed under the Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.02.2023.73.87

Trisection of an arbitrary angle is considered an impossible event in mathematical history. In this paper, we are trying to establish a general procedure for trisecting an arbitrary angle using only an unmarked straightedge and a compass. The basic geometrical compass constructions described in our main results section will ensure the possibilities of known and unknown angles trisection indeed. Before reaching the main results or general trisecting procedure, we will try to prove that Angles of sixty, thirty, seventy-five, forty-five, and ninety degrees can be trisected successfully by following the way of Archimedes and other discrete endeavors. Although based on algebra, Pierre Laurent Wantzel declared the verdict, “Arbitrary angle trisection is impossible.” we experienced that our achieved procedure was possibly not arrested by this verdict. After applying our general process to trisect an arbitrary angle, we hope readers can trust algebra cannot affect the successful geometrical constructions of angle trisection.
Pages 73-87
Year 2023
Issue 2
Volume 7

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