70 THE ESSEX NATURALIST where, for example, only one alignment is predicted, and where I find either none or two. The agreement is usually within 10 per cent. With this rather long preliminary explanation, I will now give in Table 3 the results which I have obtained by plotting all the ancient parish church sites, the castles and tumuli in each of three areas of Essex. Table 3 Alignments of Ancient Sites in Essex. Order of Calculated for Alignments Alignment Random Distribution found S. W. Essex. 3-spot ... (46.6) 47 ... 47 4-spot ... (3.9) 4 ... 5 5-spot ... (0.3) 1 ... 1 N.E. Essex. 3-spot ... (71.(3) 72 ... 78 4-spot ... (7.8) 8 ... 11 5-spot ... (0.8) 1 ... 2. Mid-S. Essex. 3-spot ... (89.1)89 ... 113 4-spot ... (9.7) 10 ... 8 5-spot ... (0.95) 1 ... 2 6-spot ... (0.09) 0 ... 1 7-spot ... (0.0081) 0 ... 0 It will be seen that in the first two areas the alignments found are in fair agreement with the calculated values for random distribution. I have re-checked my preliminary determinations (made on tracings from folded 1" O.S. sheets) by using flat, uncoloured sheets bought for the pur- pose and carefully preserved from paper distortion, and Table 3 shows the most recent results. I must here interpolate a warning to those who may be tempted to seek very long alignments of sites plotted on a map; you may know that map-makers resort to several devices in order to represent on a flat sheet of paper the features of the Earth's curved, spheroidal surface. Whatever kind of map-projection may be used, there is inevitably some distortion of direction or of size in making a map of the country. In the case of the recent Ordnance Survey maps