vaſtly ſtronger in the point of contact than when the attracting and attracted bodies are ſeparated from each other though by never ſo ſmall on interval.
For that the attraction is infinitely increaſed when the attracted corpuſcle comes to touch an attracting ſphere of this kind appears by the ſolution of problem 41. exhibited in the ſecond and third examples. The ſame will alſo appear (by comparing thoſe examples and therorem 41. together) of attractions of bodies concavo-convex orbs, whether the attracted bodies be placed without the orbs, or in the cavities whithin them. And by adding to or taking from thoſe ſpheres and orbs, any attractive matter any where without the place of contact, ſo that the attractive bodies may receive any aſſigned figure, the propoſition will hold good of all bodies univerſſally. Q. E. D.
Proposition LXXXVII. Theorem XLIV.
if two bodies ſimilar to each other, and conſiſting of matter equally attractive, attract ſeparately two corpuſcles proportional to thoſe bodies, and in a like ſituation to them; the accelerative attractions of the corpuſcle towards the entire bodies will be as
