Lietuvos matematikos rinkinys.. Vilnius. 2005, t. 45, spec. nr, p. 102-107.. ISSN 0132-2818
Abstract [eng]
Osculating paraboloid of second order have been studied in classical differential geometry. In this article we generalize this concept to osculating paraboloids of higher order. This yields a visualization of the local properties of a given surface which depend on the derivatives of higher order.