Differential and Geometric Properties of Curves

The present lesson investigates the basic differential properties of the curves and defines their principal geometric quantities. The concept of the limit on a curve, i.e. its behaviour in small Limit on a curve neighbourhoods of assigned points, viewed as a function from \(\mathbb {R}\) (the space of the parameter) to \(\mathbb {R}^n\) (the space where the curve exists), has been introduced in the previous lesson.