KoG, Vol. 29 No. 29, 2025.
Izvorni znanstveni članak
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
* Dopisni autor.
Sažetak
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.
Ključne riječi
Archimedean circles; Arbelos,; Arbelos with Overhang
Hrčak ID:
341356
URI
Datum izdavanja:
19.12.2025.
Posjeta: 282 *