Lopez, RafaelCamci, CetinUcum, AliIlarslan, Kazim2025-01-212025-01-2120242305-221X2305-2228https://doi.org/10.1007/s10013-022-00585-0https://hdl.handle.net/20.500.12587/25501The aim of this paper is to define a new class of surfaces in Euclidean space using the concept of osculating circle. Given a regular curve C, the surface of osculating circles generated by C is the set of all osculating circles at all points of C. It is proved that these surfaces contain a one-parametric family of planar lines of curvature. A classification of surfaces of osculating circles is given in the family of canal surfaces, Weingarten surfaces, surfaces with constant Gauss curvature and surfaces with constant mean curvature.eninfo:eu-repo/semantics/closedAccessOsculating circle; Surface of osculating circles; Canal surface; Weingarten surfaceArticle52119721010.1007/s10013-022-00585-02-s2.0-85138100480Q2WOS:000854681600001N/A