the choir-aisles are shorter than the choir, and all are terminated with apses.[34] I shall have other occasion to point out that at a later date the architects of Ainay and of Le Puy must have been the same. The date of the foundation of Ainay is some time in the ninth century, and it was carried on until the end of the eleventh; but the apse and capitals of the columns of the crossing--for the columns themselves are Roman--cannot, I think, be later than about A.D. 940 to A.D. 1000, which latter would, I think, be the date generally accepted for this portion of the work at Le Puy. To proceed with my notice. The crossing is surmounted by a quasi-dome, carried up as an octagonal lantern, much of which has been modernised in restorations, whilst much is quite new; though the universality of the raised central lantern in the churches of the district makes it probable that it is, to some extent, a proper restoration.[35] The transepts are covered with barrel-vaults, strengthened by transverse ribs of a square section below them; the small apses in their end walls have semi-domes, and the tribunes which cross them are groined with quadripartite vaults without ribs. The whole of the nave is covered in the same way as the crossing, each bay being divided from the next by bold transverse arches, and having a quasi-dome, supported by arches across the angles of each compartment, and all of them, in truth, being not domes, but eight-sided pointed vaults, springing from the octagonal bases thus contrived. There are no pendentives, properly so called, and the construction is, I should say, that of men who desired to erect domes, but had no knowledge whatever of the way in which they were constructed in the East; or--to take a more favorable and, perhaps, juster view--of men who, desiring to give a small building the greatest possible effect of space, to roof it with stone (not knowing anything yet about flying buttresses), and to light it from a clerestory, actually solved all these points in a successful way. Where this kind of roof was first attempted I am quite unable to say. Certainly the central lantern at Ainay is so identical in character with some of those at Le Puy, that the same workmen must have executed both; but there seems to be no other example in the same district as Ainay, whereas at Le Puy, and in Velay and Auvergne, everything is more or less roofed on the same principle. The second portion of the cathedral at Le Puy consists of the third and fourth bays of the nave, and the third portion of the fifth and sixth bays.[36]