Characteristic properties of bertrand curves

In this study, Bertrand curves and Razzaboni surfaces are searched in Euclidean space and many characteristic properties of them are given.In the first part, some basic notions such as afin space, Euclidean space, distance, angle, Euclidean metric, Euclidean framed, standard Euclidean framed are given.In the second part, Bertrand curve couple, curvatures, tendency axis, curvature center are explained in n-dimensional Euclidean space.In the final part, Bertrand curve couple, offset property of Bertrand curves, Razzaboni surfaces, Dual Razzaboni surfaces, relation of Bertrand curves with Razzaboni surfaces and relation of Backlund transformation with Bertrand curves and Razzaboni surfaces ara explained in Euclidean space.Keywords: Bertrand curves, Razzaboni surfaces