Construction of Angles Multiples of the Approximate Trisectant of ∏/3

Babayo A.M; G.U.Garba

doi:https://doi.org/10.14445/22315373/IJMTT-V17P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 17 | Number 1 | Year 2015 | Article Id. IJMTT-V17P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V17P504

Construction of Angles Multiples of the Approximate Trisectant of ∏/3

Babayo A.M, G.U.Garba

Citation :

Babayo A.M, G.U.Garba, "Construction of Angles Multiples of the Approximate Trisectant of ∏/3," International Journal of Mathematics Trends and Technology (IJMTT), vol. 17, no. 1, pp. 22-24, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V17P504

Abstract

The quest that angle 60 degrees cannot be trisected, an application of the extension of algebraic field equation, outlined a joyous pose for its approximate can be constructed using the unmarked straight one edge ruler and compass. The trisectant of 60 degrees is 20 degrees. We explicate - via the approximate trisectant - that all miscellany angles a10m = ma10 where m Ε Z+, the set of positive integer numbers and am is the angle m degrees, can be constructed for they satisfy a20m=(20o÷2)b + (20oX2)c where b=0 or 1 or 2 or 3 and c is non-negative integer number less or equal to 9. By approximate trisectant; we understand, however in this context, that it is the angle constructed as a result of approximate trisection.

Keywords

Trisectant, Algebraic Field

References

[1] Olagunju, Sam Olu, Olademo, J.O.Ani, “Construction of Any Angle from without Bisection,” Journal of Physical Sciences and Innovation, 4:1, 2012.
[2] Peter Brown, Micheal Evans, David Hunt, Janine Mclntosh Bill Pender, Jacqui Ramagge, “The Improving Mathematics Education in Schools(TIMES) Project Construction a Guide for Teachers-Year 7-8,” Australian Mathematical Sciences Institute, Module 13:10, 2011.
[3] Ian Sterwart, Galois Theory, Chapman and Hall ICRC, 3rd Edition, 2003.
[4] Leonard Eugene Dickson, New First Course in the Theory of Equations, John Wiley and Sons, Inc; 50th Edition, 1964.
[5] Matt Haddock, “Polynomials and Their Applications to Ruler and Compass Constructions, MA 213 Second Year Essay,” 2008.