A Euclidean Proof for the Fourth Postulate

Authors

José Gil-Férez, Chapman UniversityFollow
Piotr Błaszczyk, University of the National Education Commission, Poland
M. Andrew Moshier, Chapman UniversityFollow
Alberto Naibo, Université Paris 1 Panthéon–Sorbonne
Marco Panza, Chapman UniversityFollow
Jean-Michel Salanskis, Université Paris Nanterre

Document Type

Article

Publication Date

1-30-2025

Abstract

We discuss some classical conundrums about Euclid's Fourth Postulate. Our inquire sheds lights on the role the postulate is playing within the deductive structure of Book I of the Elements and provides a proof of it fully admissible within Euclid's original setting.

Comments

This article was originally published in Historia Mathematica, volume 70, in 2025. https://doi.org/10.1016/j.hm.2024.12.001

Recommended Citation

Gil-Férez, J., Blaszczyk, P., Moshier, M.A, Naibo, A., Panza, M., Salanskis, J.M., 2025. A Euclidean proof for the Fourth Postulate. Hist. Math. 70, 10-30. https://doi.org/10.1016/j.hm.2024.12.001

Peer Reviewed

1

Copyright

The authors

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License