the differing Latitudes of places, will be easily understood by the following Fig. (Vide Fig. 2. Plate 1.)
Let ApEP be the Earth cover'd over with very deep Waters, C its Center, P , p , its Poles, AE the Æquinoctial, F , f , the parallel of Latitude of a Place, D , d , another Parallel at equal distance on the other side of the Æquinoctial, H , h , the two Points where the Moon is vertical, and let K , k , be the great Circle, wherein the Moon appears Horizontal. It is evident, that a Spheroid describ'd upon Hh , and Kk , shall nearly represent the Figure of the Sea, and Cf , CD , CF , Cd , shall be the heighths of the Sea in the places f , D , F , d , in all which it is High-water: And seeing that in twelve Hours time, by the diurnal Rotation of the Earth, the Point F is transferr'd to f , and d to D : The height of the Sea CF will be that of the High-water when the Moon is present, and Cf that of the other High-water, when the Moon is under the Earth: Which in the case of this Figure is less than the former CF . And in the opposite Parallel Dd , the contrary happens. The Rising of the Water being always alternately greater and less in each place, when it is produc'd by the Moon declining sensibly from the Æquinoctial; that being the greatest of the two High-waters in each diurnal Revolution of the Moon, wherein she approaches nearest either to the Zenith or Nadir of the place: Whence it is, that the Moon in the Northern Signs, in this part of the World, makes the greatest Tides when above the Earth, and in Southern Signs, when under the Earth; the Effect being always the greatest where the Moon is farthest from the Horizon, either above or below it. And this