Double normals and tangent normals for polygons
Author:
Abstract
Given a polygonal closed plane curve γ \gamma . Each segment of γ \gamma has a tangent direction and a normal direction; each vertex of γ \gamma has a cone of tangent directions and a cone of normal directions. Formulas are established connecting the numbers of various kinds of straight lines which either intersect γ \gamma twice in a normal direction, or once in a normal direction and once in a tangent direction.
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
http://www.ams.org/proc/1975-051-02/S0002-9939-1975-0372797-6/S0002-9939-1975-0372797-6.pdf
Reference3 articles.
1. Global geometry of polygons. I: The theorem of Fabricius-Bjerre;Banchoff, Thomas F.;Proc. Amer. Math. Soc.,1974
2. Global theorems for closed plane curves;Halpern, Benjamin;Bull. Amer. Math. Soc.,1970
3. On the double tangents of plane closed curves;Fabricius-Bjerre, Fr.;Math. Scand.,1962
Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Tripod configurations of curves;Journal of Geometry and Physics;2015-03
2. A proof of a relation between the numbers of singularities of a closed polygon;Journal of Geometry;1979-09
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