In a paper published in these Annals, Mr. V. G. Grove1 studies a relationship, between two congruences r and P related to each other by a transformation T. That is to say, by a correspondence, such that, corresponding lines of the congruences are not coplanar, the developables of the congruences correspond to each other, and there exist at least three transversal surfaces of each congruence whose tangent planes at their points of intersection with the line of that congruence, pass through the corresponding line of the other congruence. He finds that the transformation T is of two types. The asymptotic type is defined by (a) f = f = F = F = gO + gG = O with s = s = S = S and the conjugate type by (b) g = g = G = G = 0 where f, f, F, F, s, s etc. are the coefficients of the differential system of equations (1) of the paper of Mr. Grove, satisfied by the homogeneous projective coordinates of the focal points of the lines of the congruences, and u, v, are the parametric curves on the focal surfaces, which correspond to the developables of the congruences. In the asymptotic case, he finds that if one of the two congruences is a W congruence, the other is also a W congruence. In the conjugate type, he also considers the quadrilaterals formed by the focal points of one of the lines of a congruence, and by two points on the corresponding line of the other congruence, and obtains the following result. If any three of the sides of these quadrilaterals generate a W congruence, so does the fourth. The purpose of the present note is to show, that a transformation T of congruences is only of one type, and in this case, not only the congruences r, I are W congruences, but likewise the congruences of lines formed by the sides of the quadrilaterals above considered. In fact, according to the definition of a couple of stratifiable congruences,2 it results that two congruences related to each other by a transformation T, form a couple of stratifiable congruences with the correspondence of the developables. Let us consider the asymptotic type. According to a theorem of Fubini,2 if the developables of a couple of stratifiable congruences correspond, then the developables cut all the transversal surfaces in conjugate nets. It is easy to deduce from the equations (1), (2a), (2b), (8) of Grove's paper, that the fundamental quadratic form of a transversal surface generated by a point of a line of the congruence r for instance, is proportional to