International Journal of Mathematics Trends and Technology
Volume 69 | Issue 8 | Year 2023 | Article Id. IJMTT-V69I8P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I8P506
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 14 Jun 2023 | 29 Jul 2023 | 12 Aug 2023 | 29 Aug 2023 |
This independent research shows an exact precision and accurate solution for the ancient Greek challenge – “Doubling The Cube” using a straightedge and a compass only. Mathematics tools and propositions used in this solution are all in Geometry and algebraic geometry at the 6 th Form level of today’s United Kingdom. The methodology of the solution includes geometrical methods to arrange the given cube and its double volume cube into a concentric position of which side x of the double cube can be calculated accurately by algebra then in terms of geometrical length the side is constructive. And then, use the straightedge and the compass to construct the double-volume cube.
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Tran Dinh Son, "Exact Doubling the Cube with Straightedge and Compass by Euclidean Geometry," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 8, pp. 45-54, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I8P506
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