Open AccessFamily Ties
Author(s) -
Ronaldo García,
Dan Reznik
Publication year - 2021
Publication title -
kog/kog
Language(s) - English
Resource type - Journals
eISSN - 1846-4068
pISSN - 1331-1611
DOI - 10.31896/k.25.1
Subject(s) - ellipse , homothetic transformation , concentric , mathematics , metric (unit) , combinatorics , geometry , operations management , economics
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.