Original scientific paper

https://doi.org/10.31896/k.29.2

A Generalization of Archimedean Circles on an Arbelos

Quang Hung Tran ; High School for Gifted Students, Vietnam National University at Hanoi, Hanoi, Vietnam *
Nikolaos Dergiades ; Thessaloniki, Greece

* Corresponding author.

Abstract

In this paper, we extend the classical notion of Archimedean circles, originally discovered by Archimedes in the arbelos, to the broader framework of the arbelos with overhang. By means of new constructions, we establish conditions under which circles in this generalized setting retain the characteristic radius property of Archimedean circles. Our results unify and extend previous findings, revealing deeper symmetries and structural invariants within these geometric figures.

Keywords

Archimedean circles; Arbelos,; Arbelos with Overhang

Hrčak ID:

341356

URI

https://hrcak.srce.hr/341356

Publication date:

19.12.2025.

Article data in other languages: croatian

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