All this is indistinct enough, it must be confessed, and much of it depends on nominal similarities, which are never very satisfactory; still the general impression it leaves seems worthy of acceptance. It would lead us to think that Arthur commenced his struggles with the invaders in the north of England, probably in the time of Ambrosius, and fought his way southwards, till after twelve campaigns, or twelve battles, he reached his crowning victory at Badon Hill, which gave him peace for the rest of his days. At all events, with respect to the first seven battles, there seems no reason why we should not appropriate any of them except perhaps the first--to our Cumberland circles. The proof of whether or not it is reasonable to do so will of course depend on the case we can make out for the other circles we have to examine, and on the general interdependence which the whole series can be shown to have on one another. At present it may be allowed to stand on an hypothesis, which certainly has the merit of explaining the facts as now known; but the probability or disproof of which must depend on the facts and arguments to be adduced hereafter. DERBYSHIRE. The next group of monuments with which we have to deal is perhaps as interesting as any of those hitherto described. As before mentioned, when speaking of the labours of William and Thomas Bateman, the north-western portion of the county is crowded with barrows, but none apparently of so ancient a character as those excavated by Canon Greenwell in Yorkshire, and most of them containing objects of so miscellaneous a character as to defy systematic classification. As these, however, hardly belong to the subject of which we are now treating, it is not necessary to say more about them at present; and the less so, that the group which falls directly in with our line of research is well defined as to locality, and probably also as to age. The principal monument of this group is well-known to antiquaries as Arbe or Arbor Low,[165] and is situated about nine miles south by east from Buxton, and by a curious coincidence is placed in the same relative position to the Roman Road as Avebury. So much is this the case, that in the Ordnance Survey--barring the scale--the one might be mistaken for the other if cut out from the neighbouring objects. Minning Low, however, which is the pendant of Silbury Hill in this group, is four miles off, though still in the line of the Roman road, instead of only one mile, as in the Wiltshire example. Besides, there is a most interesting Saxon Low at Benty Grange, about one mile from Arbor Low. Gib Hill, Kens Low, Ringham Low, End Low, Lean Low, and probably altogether ten or twelve important mounds covering a space five miles in one direction, by one and a half to two miles across.