how the deviation of the versorium is augmented and diminished by reason of the distance of places.

i n the middle of great and continent lands there is no variation. nor, generally, in the middle of very great seas. on the margin of those lands and seas the variation is often ample, yet not so great as at a little further distance on the sea. as, for example, near cape st. augustine the compass varies; but at 50 miles from land toward the east it varies more; and 80 miles off it varies still more; and yet still more at a distance of 100 miles. but from a distance of 100 miles the diminutions of deviation are slower, when they are navigating toward the mainland, than at a distance of 80 miles, and at a distance of 80 miles than at 50: for the deviations change and are diminished rather more swiftly the more they approach and draw near land than when at a great distance off. as, for instance, navigating toward newfoundland the change of variation is more rapid (that is, it decreases a degree in a smaller arc of the course on the parallel) when they are not far from land than when they are a hundred miles distant: but when travelling on land toward the interiors of regions the changes are slower in the first parts of the journey than when they come more into the interior.

the ratio of the arcs on a parallel circle, when a versorium is moved toward continents which extend to the pole, corresponds with the degrees of variation. let a be the pole; b the eminences of the dominant lands; at c there is no variation caused by b, for it is too far away; at d the variation is very great because the versorium is allured or turned by the whole earth toward the eminent land b; and moreover it is not hindered, or restrained or brought back to the pole by the verticity of the earth; but, tending of its own nature to the pole, it is nevertheless deflected from it by reason of the

site, or position, and convenient distance of the dominant and high lands.

now from c toward d the variation increases; the versorium, however, does not deviate so rapidly in the first spaces as near d: for more miles are traversed on the parallel circle c d, near c, in order that the versorium may deviate by one degree from the pole a, than near d. so also in order that the variation may be diminished from d toward e more miles are required near d than near e. thus the deviations become equal in unequal courses, whether the variation be increasing or decreasing; and yet the variation decreases by lesser intervals than it increases. there intervene, however, many other causes which perturb this proportion.