1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.DS2021★ 1 cited
Poncelet Plectra: Harmonious Curves in Cosine Space
Daniel Jaud, Dan Reznik, Ronaldo Garcia
It has been shown that the family of Poncelet N-gons in the confocal pair (elliptic billiard) conserves the sum of cosines of its internal angles. Curiously, this quantity is equal…
math.MG2021
Poncelet Propellers: Invariant Total Blade Area
Dominique Laurain, Daniel Jaud, Dan Reznik
Given a triangle, a trio of circumellipses can be defined, each centered on an excenter. Over the family of Poncelet 3-periodics (triangles) in a concentric ellipse pair (axis-alig…