  Two kinds of invariance for geometrical objects under transformations are
involved in this paper. With respect to these kinds, we obtained novel
invariants for almost geodesic mappings of the third type of a non-symmetric
affine connection space in this paper. Our results are presented in two
sections. In the Section 3, we obtained the invariants for the equitorsion
almost geodesic mappings which do not have the property of reciprocity.
