论文标题
家庭关系：将Poncelet 3-周期性与其属性相关联
Family Ties: Relating Poncelet 3-Periodics by their Properties
论文作者
论文摘要
我们比较了跨poncelet家族的基因座类型和不变性，这些家族与三个不同的同心椭圆对相互作用：（i）椭圆形圆圈，（ii）cirdcircle-inellipse和（iii）同型。它们的度量特性与3个经过深思熟虑的家庭大致相同：椭圆台球（共聚焦对），Chapple的Poristic Triangles和Brocard Porism。因此，我们将它们分为三个相关组。
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.
