Horn in the east of Iceland may either mean the modern Cape Horn, the most easterly point of the country, or more probably East Horn a little further to the south-west. My reason for preferring the latter place is that it appears to have been the most easterly Horn known as such to the authors of Landnáma. It is referred to shortly afterwards in describing the discovery of the land by Gardar, and was evidently not the most easterly point of the country, for Gardar is said to have arrived to the east of it. The position of the most easterly part of Cape Horn is 65° 5′ N., 13° 27′ 45″ W.; that of East Horn is 64° 20′ N., 14° 25′ W. The distances from Stad to these two places respectively are 524·67 and 543·46 miles. In this case, therefore, it is clear that seven periods of twelve hours are meant, and the distance covered in each ‘dægr’ corresponds closely with the average ‘tylft’ at which we have already arrived, being from 74·9 to 77½ miles according to the objective chosen. It is clear from this that we are here dealing with averages, and not, as Storm suggests, with records, for the rate is but 6·4 knots at the outside, which apart from what we know of Thorar Nefjolfson’s voyage is obviously nothing extraordinary, while the journey between these two points must in all probability have been traversed more frequently than any of the others here referred to. Hvarf (turning-point) in Greenland was either Cape Farewell or one of the promontories such as Sermesok lying immediately to the north-west of it, and for our present purpose it will be fair enough to calculate the distance to Cape Farewell. This works out at about 631 miles in a direct line, and it is at once evident that four periods of twelve hours are quite insufficient to cover the voyage. On the other hand, four days of twenty-four hours suit remarkably well, the rate being about 6½ knots.