KoG, Vol. 26 No. 26, 2022.
Izvorni znanstveni članak
https://doi.org/10.31896/k.26.1
Parabola-Inscribed Poncelet Polygons Derived from the Bicentric Family
Filipe Bellio
orcid.org/0000-0003-4059-9292
; ENS, Lyon, France
Ronaldo Garcia
orcid.org/0000-0001-8876-6956
; Universidade Federal de Goiás Instituto de Matemática e Estatistica Goiânia, Goiânia, Brazil
Dan Reznik
orcid.org/0000-0002-0542-6014
; Data Science Consulting, Rio De Janeiro, Brazil
Sažetak
We study loci and properties of a Parabola-inscribed family of Poncelet polygons whose caustic is a focus centered circle. This family is the polar image of a special case of the bicentric family with respect to its circumcircle. We describe closure conditions, curious loci, and new conserved quantities.
Ključne riječi
Poncelet; closure; porism; parabola; bicentric; conservation; invariants
Hrčak ID:
288114
URI
Datum izdavanja:
28.12.2022.
Posjeta: 1.060 *