Geodesic
General properties of planar spiral curves
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 10, Tome 353 (2008), pp. 93-115

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The paper deals with planar curves with monotone curvature (spirals). Some known facts are generalized by removing requirements of curvature's continuity and constant sign. Necessary and sufficient conditions for the existence of a spiral with given end conditions as well as the existence of the bipolar equation of a spiral are discussed. Bibl. – 8 titles. 
@article{ZNSL_2008_353_a8,
     author = {A. I. Kurnosenko},
     title = {General properties of planar spiral curves},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {93--115},
     publisher = {mathdoc},
     volume = {353},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_353_a8/}
}
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A. I. Kurnosenko. General properties of planar spiral curves. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 10, Tome 353 (2008), pp. 93-115. http://geodesic.mathdoc.fr/item/ZNSL_2008_353_a8/