In this paper, relation was developed for Hyades stars between a function of the equatorial coordinates and the angular distances from the vertex. The precision criteria of this relation are very satisfactory and a correlation coefficient value of =1 was found which proves that the attributes are completely related linearly. The importance of this relation was illustrated through its usages as: A criterion for membership of the cluster, A generating function for evaluating some parameters of the cluster, A generating function for the initial values of the vertex equatorial coordinates which could then be improved iteratively using the procedure of differential corrections.