Abstract
An inversion invariant of two oriented circles is introduced. It is close to Coxeter's inversive distance between two non-intersecting circles, but it is defined for any pair of oriented circles (straight lines). Two topics are discussed as applications: the problem of C1-conjunction of circles and properties of plane curves with monotone curvature. Bibliography: 10 titles.
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Kurnosenko, A.I. An Inversion Invariant of a Pair of Circles. Journal of Mathematical Sciences 110, 2848–2860 (2002). https://doi.org/10.1023/A:1015310614585
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DOI: https://doi.org/10.1023/A:1015310614585