On $\Lambda$-positioning of an arc between two parallel support lines
Metric Geometry
2015-08-04 v1
Abstract
We show that a rectifiable plane arc g has two parallel support lines and a triple of consecutive points g(r), g(s), g(t), r<s<t, so that g(s) lies on one line, while g(r) and g(t) lie on the other. If the arc is simple, such a pair of lines is unique.
Cite
@article{arxiv.1508.00555,
title = {On $\Lambda$-positioning of an arc between two parallel support lines},
author = {Yevgenya Movshovich},
journal= {arXiv preprint arXiv:1508.00555},
year = {2015}
}
Comments
5 pages, 4 figures