International Journal of Mathematics Trends and Technology
Volume 69 | Issue 5 | Year 2023 | Article Id. IJMTT-V69I5P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I5P502
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 22 Mar 2023 | 29 Apr 2023 | 05 Oct 2023 | 22 May 2023 |
Angle trisection is a classical problem of straightedge and compass construction from the ancient Greek mathematics. It concerns construction of an angle equal to one third of a given arbitrary angle, using only two tools: an unmarked straightedge and a compass. There are three classical problems in the ancient Greek mathematics which were extremely influential in the development of geometry. These problems were those of squaring the circle, doubling the cube and trisecting an angle. This Thesis focuses on the problem of trisecting an arbitrary angle. It is possible to trisect certain angles, e.g. a right angle. It is difficult to give an accurate date as to when the problem of trisecting an angle first appeared. Result of this research paper is an exact solution for the thousand-year challenge “Trisecting the Angle” by a construction with only a straightedge and a compass by means of the secondary Geometry.
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Tran Dinh Son, "Exact Angle Trisection with Straightedge and Compass by Secondary Geometry," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 5, pp. 9-24, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I5P502
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