Poncelet Parabola Pirouettes

Autor: Reznik, Dan, Garcia, Ronaldo
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: We describe some three-dozen curious phenomena manifested by parabolas inscribed or circumscribed about certain Poncelet triangle families. Despite their pirouetting motion, parabolas' focus, vertex, directrix, etc., will often sweep or envelop rather elementary loci such as lines, circles, or points. Most phenomena are unproven though supported by solid numerical evidence (proofs are welcome). Some yet unrealized experiments are posed as "challenges" (results are welcome!).
Comment: 24 pages, 23 figures
Databáze: arXiv