9 citations · 14 across the 3 of their papers we have counts for
3 papers
math.MG2020★ 3 cited
Loci of the Brocard Points over Selected Triangle Families
Ronaldo Garcia, Dan Reznik
We study the loci of the Brocard points over two selected families of triangles: (i) 2 vertices fixed on a circumference and a third one which sweeps it, (ii) Poncelet 3-periodics…
math.MG2020★ 9 cited
Related by Similarity II: Poncelet 3-Periodics in the Homothetic Pair and the Brocard Porism
Dan Reznik, Ronaldo Garcia
Previously we showed the family of 3-periodics in the elliptic billiard (confocal pair) is the image under a variable similarity transform of poristic triangles (those with non-con…
math.MG2020★ 2 cited
Area-Invariant Pedal-Like Curves Derived from the Ellipse
Dan Reznik, Ronaldo Garcia, Hellmuth Stachel
We study six pedal-like curves associated with the ellipse which are area-invariant for pedal points lying on one of two shapes: (i) a circle concentric with the ellipse, or (ii) t…