KoG, Vol. 25 No. 25, 2021.
Izvorni znanstveni članak
https://doi.org/10.31896/k.25.1
Family Ties: Relating Poncelet 3-Periodics by their Properties
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 compare loci types and invariants across Poncelet families interscribed in three distinct concentric Ellipse pairs:
(i) ellipse-incircle, (ii) circumcircle-inellipse, and (iii) homothetic. Their metric properties are mostly identical to those of 3 well-studied families: elliptic billiard (confocal pair), Chapple's poristic triangles, and the Brocard porism. We therefore organized them in three related groups.
Ključne riječi
invariant; elliptic billiard; locus
Hrčak ID:
269177
URI
Datum izdavanja:
27.12.2021.
Posjeta: 842 *