There can be no doubt that these Thermæ, which were of great extent, reached nearly across the Quirinal Hill, occupying the sites of the present Palazzo Rospigliosi, part of the Colonna Gardens and the Quirinal Palace. Three statues were found in the ruins, representing Constantine and two of his sons. These are supposed to have stood near the grand entrance of the Thermæ. The first is now in the Portico of the Lateran Basilica, the two others were placed by Paul III. on the balustrade of the Piazza Capitolina. The famous pair of the Dioscuri and their horses, which now ornament the Piazza di Monte Cavallo, were also discovered on this site. The history of these well-known sculptures cannot be traced farther back than the time of Constantine, whose Thermæ they adorned. The old tradition which states that they were a present from Tiridates to Nero is in some degree supported by the mention of the equi Tiridatis in the Notitia, but is not confirmed by any other evidence. That they are not rightly supposed to represent the Dioscuri can hardly be doubted, and the inscriptions which ascribe them to the chisels of Phidias and Praxiteles respectively are erroneous. For not to mention that the exact reproduction of nature in its highest type of symmetry, peculiar to the style of the highest Greek art is absent, and that we find instead the conventional mode of representation characteristic of the revival of art under the emperors, it seems hardly possible that Praxiteles, who lived more than half a century after Phidias, should have occupied himself in imitating and completing a group begun by his predecessor. These colossal figures and the statues of Constantine mentioned above, probably stood in the grand court of the Thermæ. There are now no traces left of the outer enclosure of this court, but the plan of the central blocks of buildings has been preserved by Palladio, in whose time there was doubtless a sufficient portion left to enable him to reconstruct the whole. It is somewhat different from the plan of most of the other Thermæ, having a large semicircular court on one side surrounded with arcades, the purpose of which has not been discovered. The other halls and apartments are of the usual size and shape, with the exception of the exedræ, which are rectangular. At one side of the enclosing court, apparently the north side, there was a large theatre similar to that at the baths of Titus.