We study the dynamic geometry, loci , and invariants of three Poncelet families associated with three distinct concentric Ellipse pairs: with-incircle, with-circumcircle, and homothetic. Most of their properties run parallel to those of 3 well-studied families: elliptic billiard (confocal pair), Chapple's poristic triangles, and the Brocard porism , allowing us URLanize them in three "similar" groups.
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 URLanized them in three related groups.
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study the dynamic geometry, loci , and invariants of three Poncelet families associated with
compare loci types and invariants across Poncelet families interscribed in
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with-incircle, with-circumcircle, and homothetic. Most of their properties run parallel
(i) ellipse-incircle, (ii) circumcircle-inellipse, and (iii) homothetic. Their metric properties are mostly identical
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, allowing us URLanize
. We URLanized
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"similar"
related