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New parameterizations of the Cassinian ovals. (English) Zbl 1382.51016
Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 12th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 4–9, 2010. Sofia: Bulgarian Academy of Sciences. Geometry, Integrability and Quantization, 237-243 (2011).
Summary: Here we present a general scheme which leads effectively to the reconstruction of any plane curve whose curvature is specified by a function of the radial coordinate. As a concrete example we have derived two new parametrizations of the Cassinian ovals.
For the entire collection see [Zbl 1245.00049].
51M25 Length, area and volume in real or complex geometry
53A04 Curves in Euclidean and related spaces
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