PHILOSOPHY.

Chap. 3.

Since therefore the inclination of the orbit increases, whilethe moon is passing from B to K, and diminishes itself a-gain only, while the moon is passing from K to R, and thenaugments again, till the moon arrive in L; while the moon ispassing from B to L, the inclination of the orbit is much moreincreased than diminished, and will be distinguiihably greater,when the moon is come to L, than when it set out from B.

30. In like manner, while the moon is passing from L onthe other side the plane AGCH, the node shall advance for-ward, as long as the moon is between the point L and the nextquarter; but afterwards it shall recede, till the moon cometo pass the plane AGCH again in the point V, between B andA : and because the time between the moon’s passing fromL to the next quarter is less, than the time between that quar-ter and the moon’s coming to the point V, the node shallhave more receded than advanced ; so that the point V willbe nearer to A, than L is to C. So also the inclination of theorbit, when the moon is in V, will be greater, than when themoon was at L ; for this inclination increases all the time themoon is between L and the next quarter ; it decreases onlywhile the moon is passing from this quarter to the mid waybetween the two nodes, and from thence increases again du-ring the w hole passage through the other half of the way tathe next node.

40. Thus we have traced the moon from her node inthe quarter, and shewn, that at every period of the moon thenodes will have receded, and thereby will have approached

toward.