Paper contains the review of development and application of ideas of a homology in a crystallography from origin of primary concepts before modern representations. The link of a homology V. I. Miheev is shown with affine geometry. This representations are redused E.S. Fedotov, C.M. Viola, A.V. Chubnikov, V. I. Miheev, P. A. Zabolotny, A. F. Palistrant, V. V. Nardov etc.