Chap. 3. PHILOSOPHY. 213

tooon in I, cutting the plane of the earth’s motion in the linefet T Nj and the plane B E D in the line T O. Because the linehlK is convex to the plane BED, which touches it in B, theplane NIM must cross the plane DEB, before it meets theplane CGB; and therefore the point M will fall from B to-wards G, and the node of the moon’s orbit being translatedfr°m B to M is moved forward.

3 5- I say farther, the angle under 0 M G, which theplane M 0 N makes with the plane B G C, is greater than the^ u gle under O B G, which the plane BOD makes with thek llle - This appears from what has been already explained ;ec aiis e the arches BO, OM are each less than the quarter ofa CiI 'cle, and therefore taken both together are less than a se-micircle.

. 36. Again, when the moon is come to the point K in.lts Quarter, the nodes will be advanced yet farther forward,^ the inclination of the orbit also more augmented. Hi-er to the moon’s motion has been referred to the plane,^hch pasting through the earth touches the path of theln °°u in the point, where the moon is, according to whatasserted at the beginning of this discourse upon thej|°des, that it is the custom of astronomers so to do. Butere in the point K no such plane can be sound; on the contra-feeing the line of the moon’s motion on one side the pointls convex to the plane BED, and on the other side con-.^ E to the same, no plane can pass through the points T and5 w ill cut the line B K L in that point. Therefore instead