Universal measure for Poncelet-type theorems
Dynamical Systems
2016-10-04 v1 Differential Geometry
Abstract
We give a simple proof of the Emch closing theorem by introducing a new invariant measure on the circle. Special cases of that measures are well-known and have been used in the literature to prove Poncelet's and Zigzag theorems. Some further generalizations are also obtained by applying the new measure.
Cite
@article{arxiv.1610.00276,
title = {Universal measure for Poncelet-type theorems},
author = {Evgeny A. Avksentyev and Vladimir Yu. Protasov},
journal= {arXiv preprint arXiv:1610.00276},
year = {2016}
}