The regular heptagon

Authors

  • Sotìris Goudouvàs 1st Lyceum of Argyroupolis

Keywords:

Normal heptagon, geometric construction, cyclotomy, neusis

Abstract

In the present work we study the construction of the regular heptagon, i.e. the division of the circle into seven equal parts. We prove that the construction with the ruler and compass is impossible and we give a construction with neusis attributed to Archimedes.

Author Biography

Sotìris Goudouvàs, 1st Lyceum of Argyroupolis

Sotiris Goudouvas obtained a degree in mathematics from the University of Ioannina (Greece) and later obtained a degree in Civil Engineering from EM of Athens.
He holds two Master's Degrees in Teaching Methodology and History of Mathematics from the University of Athens and Modern and Contemporary History from Panteion University of Athens.
He is the author of the book Geometric Routes (2015) and has written various articles in mathematical journals on the History of Mathematics and Geometry.
Is a researcher in didactics of Geometry.
He works as a Mathematics teacher at the 1st Lyceum of Argyroupolis (Greece).

References

Gountouvàs S., (2017). Geometric Routes, Athens.

Sidiropoulos N., (1993). The regular heptagon and Archimedes, Thessaloniki.

Stamatis E., (1961). Archimedes, On the regular Heptagon, Bulletin EME, Athens, 9(2), 9-24.

Downloads

Published

2020-09-23

How to Cite

Goudouvàs, S. (2020). The regular heptagon. EDiMaST: Experiences of Teaching With Mathematics, Sciences and Technology, 5, 689–695. Retrieved from https://www.edimast.it/index.php/edimast/article/view/69

Issue

Vol. 5 (2019)

Section

Experiences & Research Articles

License

Copyright (c) 2019 Sotìris Goudouvàs

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.