In both the other examples true groined vaulting is used, but at La Trinité it is in practically square bays, and carried by walls running down to the ground,[122] making it easier of construction than that at Saint Nicolas[123] where the bays are rectangular and the choir has true side aisles. This church is similar in structural principles to La Madeleine at Vézelay--except that the wall ribs are omitted,--and these two churches may be said to represent the highest point reached by groined vaulting with practically flat crowns during the Romanesque period. Other examples might be cited, ranging from such an unusual church as Saint Loup-de-Naud (Seine-et-Marne) in the Ile-de-France,--which is of uncertain date,[124]--to churches as late as the thirteenth and fourteenth centuries, among which are Severac-le-Château (Aveyron) and Saint Pons-de-Mauchiens (Hérault).[125] Occasionally, also, groined vaults were used in the crypt as at Saintes (Charente-Inférieure),[126] even when tunnel vaults were used in the upper part of the church, a peculiarity explained by the fact that underground it was easy to dispose of the thrusts which could not so readily be offset in the nave. The question of the origin of the method has frequently arisen and a number of writers, including Choisy,[127] suggest the East as a possible cradle of the style because of the numerous churches in Palestine thus vaulted, but Rivoira[128] shows rather conclusively that it was the Cluny influence which carried the method to the East rather than the reverse, a theory strengthened by the fact that the earliest example there, which is the church of Saint Anne at Jerusalem,[129] would seem to be after rather than before the beginning of the twelfth century.[130] Moreover it is quite reasonable to attribute the development of this advanced type of vault to the builders of Bourgogne themselves, for they were surely progressive enough to have taken such a step. GROINED VAULTS OVER SQUARE NAVE BAYS Churches with groined vaults over square nave bays are much more numerous than those with rectangular bays, just described. The most important of these belong to the school of the Rhenish Provinces, which had, perhaps, clung to Byzantine and Carolingian traditions in this respect. As a rule the large churches of this school were originally planned for vaulting only in the side aisles.[131] These were usually divided into square bays by round headed transverse arches, and then each bay covered by a more or less domed up groined vault, which, from its size and form, might be erected with comparatively little centering.[132] There was no triforium gallery, but a wall with blank arches took its place beneath the clerestory windows. In many of the churches[133] shafts were carried up on the inner face of alternate nave piers, probably to support the cross beams of the roof, or possibly to carry transverse arches, but not to carry vaulting.