Osculating circle and osculating sphere have been studied in classical differential geometry . In this article the osculating curves and surfaces of higher order of plane and space curves in Euclidean
n-space (n = 2, 3) is considered. We study the intrinsic differential geometry of curves by analyzing their contact with curves and surfaces of higher order.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Please read the Copyright Notice in Journal Policy.