Resumen
We start by introducing and studying two sequences of curvatures provided by the higher-order derivatives of the usual Frenet equation of a given plane curve C. These curvatures are expressed by a recurrence starting with the pair (0,-??)
(
0
,
-
k
)
where k is the classical curvature function of C. Moreover, for the space curves, we succeed in introducing three recurrent sequences of curvatures starting with the triple (-??,0,??)
(
-
k
,
0
,
t
)
. Some kinds of helices of a higher order are defined.