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A proof of a relation between the numbers of singularities of a closed polygon. (English) Zbl 0455.51002

MSC:

51A20 Configuration theorems in linear incidence geometry

Citations:

Zbl 0339.53004
Full Text: DOI

References:

[1] Banchoff, T.F., Global geometry of polygons I, The Theorem of Fabricius-Bjerre, Proc. Amer. math. Soc. 45 (1974), 237–241. · Zbl 0339.53004 · doi:10.1090/S0002-9939-1974-0370599-7
[2] Fabricius-Bjerre, Fr., On the double tangents of plane curves, Math. Scand. 11 (1962), 113–116. · Zbl 0173.50501
[3] Fabricius-Bjerre, Fr., A theorem on closed polygons in the projective plane, Nord. Mat. Tids. 10 (1962), 143–146. · Zbl 0107.39603
[4] Fabricius-Bjerre, Fr., A relation between the numbers of singular points and singular lines of a plane closed curve, Math. Scand. 40 (1977), 20–24. · Zbl 0352.50011
[5] Halpern, B., Double normals and tangent normals for polygons, Proc. Amer. Math. Soc. 51 (1975), 434–437. · Zbl 0311.53005 · doi:10.1090/S0002-9939-1975-0372797-6
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