RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2009 Volume 372, Pages 44–52 (Mi znsl3556)

This article is cited in 4 papers

Long spirals

A. I. Kurnosenko

Moscow Engineering Physics Institute, Moscow, Russia

Abstract: 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.

Key words and phrases: variation of turn, cumulative boundary angles, lenses, inversion distance.

UDC: 514.752.22

Received: 20.02.2007


 English version:
Journal of Mathematical Sciences (New York), 2011, 175:5, 523–527

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024