Long spirals
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 11, Tome 372 (2009), pp. 44-52
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We continue investigation of spiral curves by exploring the properties, related to the way of their winding. In particular, Vogt's theorem, concerning boundary angles of a spiral arc, is further extended. Bibl. – 3 titles.
@article{ZNSL_2009_372_a3,
author = {A. I. Kurnosenko},
title = {Long spirals},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {44--52},
year = {2009},
volume = {372},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_372_a3/}
}
A. I. Kurnosenko. Long spirals. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 11, Tome 372 (2009), pp. 44-52. http://geodesic.mathdoc.fr/item/ZNSL_2009_372_a3/
[1] A. I. Kurnosenko, “Obschie svoistva ploskikh spiralnykh krivykh”, Zap. nauchn. semin. POMI, 353, 2008, 93–115 | MR
[2] A. I. Kurnosenko, “Korotkie spirali”, Zap. nauchn. semin. POMI, 372, 2009, 34–43 | MR
[3] H. S. M. Coxeter, “The problem of Apollonius”, Amer. Math. Monthly, 75 (1968), 5–15 | DOI | MR | Zbl