Poncelet theorems
Abstract
If there is one polygon inscribed into some smooth conic and circumscribed about another one, then there are infinitely many such polygons. This is Poncelet's theorem. The aim of this note is to collect some (mostly classical) versions of this theorem, namely:  Weyr's Poncelet theorem in $P_3$ (1870),  Emch's theorem on circular series (1901),  Gerbaldi's formula for the number of Poncelet pairs (1919),  the MoneyCoutts theorem on three circles (1971),  the zigzag theorem (1974),  a (probably new) Poncelet theorem on three conics,  a Poncelet formula for quadrics of revolution.
 Publication:

arXiv eprints
 Pub Date:
 February 1995
 arXiv:
 arXiv:alggeom/9502017
 Bibcode:
 1995alg.geom..2017B
 Keywords:

 Mathematics  Algebraic Geometry
 EPrint:
 20 pages, LaTeX