  In this part of the series five-dimensional tangent vectors are introduced
first as equivalence classes of parametrized curves and then as
differential-algebraic operators that act on scalar functions. I then examine
their basic algebraic properties and their parallel transport in the particular
case where space-time possesses a special local symmetry. After that I give
definition to five-dimensional tangent vectors associated with dimensional
curve parameters and show that they can be identified with the five-vectors
introduced formally in part I (math-ph/9805004). In conclusion I speak about
differential forms associated with five-vectors.
