The depression in the old road known as the "Sinclair Dokka" has a length of about two hundred and seventy English feet between the highest points at its two extremities. It is reasonable to suppose that the object of the Bönder was to hurl down the rocks at the deepest or centre part of the depression, which would be about one hundred feet in length at the utmost, and that the length of the "tömmervælte" was in proportion with the size of the hollow into which it was destined to descend. It could not possibly have been even half as long as the deepest part of the hollow itself; for an artificial structure a hundred feet in length, with a clear space in front of it, would certainly have been observed by the Scots, however unsuspecting they may have been, and however lax their military precautions. Moreover, it would have been strategically unwise on the part of the Bönder to have attacked the invaders until a good part of them had descended into the hollow and were passing through it. It has therefore been assumed on the plan that the "tömmervælte" could not have been more than thirty feet in length, whilst its height above the deepest part of the "Sinclair Dokka" has been fixed at about one hundred and twenty feet, partly as a result of a thorough examination of the configuration of the slope on which it stood, and partly on the conjecture that the structure required elevation in order to attain a sufficient impetus on being let loose, and in order also that it should be as much concealed as possible from the Scots proceeding along the road. A mathematical question here presents itself. If we assume that the Scots on whom the "tömmervælte" descended occupied the path in the "Sinclair Dokka" along an approximate length of even one hundred feet, how many could possibly have stood there? Giving only three feet to each man, the number could not have been more than thirty-three men if they marched in single file, or about sixty-seven if two abreast, along a path so rugged, narrow, and dangerous. But considering that the rocks must have taken several seconds to roll down the declivity, which could not have had a steeper gradient than forty to forty-five degrees, the men at the extremities of the threatened group must have had time to rush back at one end and forward at the other; and allowing for further chances of escape, we cannot possibly account for the destruction of more than twenty-five or thirty men (even if they walked two abreast) by the sudden descent of an avalanche of rocks and timbers. How then were the remainder disposed of?