In previous communications to the Royal Society, I have shown that if we consider the sun’s declination at the quarter-days of the May year and at the solstices, and also the changes due to precession in the places of five or six of the more conspicuous stars visible, at any epoch, in these latitudes we are able to account for the alignments investigated in the stone monuments in Cornwall and Devon. The present paper deals with a special class of circles in Aberdeenshire in which the method of indicating alignments shows a striking difference. The Cornish method was that still set out in the instructions for the erection of the Gorsedd circle of the Welsh Eisteddfod, the sighting, or directing, stones were placed some distance outside the circle. In Aberdeenshire the method employed was to place a long, recumbent stone generally between two of the upright stones of the circle itself and to obtain the direction of the rising sun or star by sighting across the circle at right angles to the length of the recumbent stone.