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

https://hrcak.srce.hr/269177

Datum izdavanja:

27.12.2021.

Podaci na drugim jezicima: hrvatski

Posjeta: 1.345 *