it is manifeſt that in its motion from the node C, the body recedes continually from the former plane CD of its orbit till it comes to the next node; and therefore at that node, being now at its greateſt diſtance from the firſt plane CD, it will paſſ through the plane of the orbit EST not in D, the other node of that plane, but in a point that lies nearer to the body S, which therefore becomes a new place of the node in antecedentia to its former place. And by a like reaſoning, the nodes will continue to recede in their paſſage from this node to the next. The nodes therefore when ſituate in the quadratures recede perpetually, and at the ſyzygies, where no perturbation can be produced in the motion as to latitude, are quieſcent; in the intermediate places they partake of both conditions, and recede more ſlowly; and therefore being always either retrograde or ſtationary, they will be carried backwards, or in antecedentia, each revolution.
Cor. 12. All the errors deſcribed in theſe corollaries are a little greater at the conjunction of the bodies P, S, than at their oppoſition; becauſe the generating forces NM and ML are greater.
Cor. 13. And ſince the cauſes and proportions of the errors and variations mentioned in theſe corollaries do not depend upon the magnitude of the body S, it follows that all things before demonſtrated will happen, if the magnitude of the body S be imagined ſo great as that the ſyſtem of the two bodies P and T may revolve about it. And from this increaſe of the body S, and the conſequent increaſe of its centripetal force from which the errors of the body P ariſe, it will follow that all theſs errors, at equal diſtances, will be greater
