Page:The Mathematical Principles of Natural Philosophy - 1729 - Volume 1.djvu/337

 greatet angle of the inclination of the annulus ingle, is when the nodes are in the yzygies. Thence in the progres of the nodes to the quadratures, it endeavours to diminih its inclination and by that endeavour imprees a motion upon the whole globe. The globe retains this motion impreed, till the annulus by a contrary endeavour detroys that motion and imprees a new motion in a contrary direction. And by this means the greatet motion of the decreaing inclination happens when the nodes are in the quadratures; and the leat angle of inclination in the octants after the quadratures; and again, the greatet motion of reclination happens when the nodes are in the yzygies; and the greatet angle of declination in the octants following. And the cae is the ame of a globe without this annulus, if it be a little higher or a little dener in the æquatorial than in the polar regions. For the exces of that matter in the regions near the equator upplies the place of the annulus. And though we hould uppoe the centripetal force of this globe to be any how increaed o that all its parts were to tend downwards, as the parts of our Earth gravitate to the centre, yet the phænomena of this and the preceding corollary would carce be altered; except that the places of the greatet and leat height of the water will be different. For the water is now no longer utained and kept in its orbit by its centrifugal force, but by the channel in which it flows. And beides the force LM attracts the water downwards mot in the quadratures, and the force KL or NM - LM attracts it upwards mot in the yzygies. And thee forces conjoined ceae to attract the water downwards, and begin to attract it upwards in the octants before the yzygies; and