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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1999 Volume 261, Pages 167–186 (Mi znsl1095)

This article is cited in 6 papers

Inversive invariant of a pair of circles

A. I. Kurnosenko

Institute for High Energy Physics

Abstract: An inversive invariant of two oriented circles is introduced. Being close to Coxeter's inversive distance between two non-intersecting circles, it is defined for any pair of oriented circles (straight lines). To demonstrate its effectiveness, two topics are discussed the problem of $C^1$-conjunction of circles and the properties of plane curves with monotonous curvature.

UDC: 514.112.6

Received: 29.04.1999


 English version:
Journal of Mathematical Sciences (New York), 2002, 110:4, 2848–2860

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