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The curve whose curvature is a function

F. Dillen, "The classification of hypersurfaces of an Euclidean space with parallel higher order fundamental form", Math. Z. 203 (1999) 635--643. Elsa Abbena, Simon Salamon and Alfred Gray, "Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition", 2006, Chapman and Hall/CRC.