Approximating trisection of the angle using a geometric sequence

Authors

  • Čeněk Kodejška Grammar school, secondary technical school and college Nový Bydžov

Abstract

The trisection of the angle, together with the doubling of the cube and the quadrature of the circle, is among the three problems of antiquity formulated as early as the 5th century BC, known as the three classical problems of ancient mathematics. This paper deals with the approximate construction of the angle trisection, whose inaccuracy is approximately 0.1%. The simple design uses only rulers and compasses and is feasible in a small number of steps. The method simultaneously uses the properties of the finite sum of an infinite geometric series.

Published

2020-01-29

How to Cite

Kodejška, Čeněk. (2020). Approximating trisection of the angle using a geometric sequence. MATHEMATICS–PHYSICS–INFORMATICS, 29(1), 18–20. Retrieved from https://mfi.upol.cz/index.php/mfi/article/view/481

Issue

Section

Mathematics

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