Page:The Mathematical Principles of Natural Philosophy - 1729 - Volume 1.djvu/380

From Wikisource
Jump to navigation Jump to search
This page has been proofread, but needs to be validated.
292
Mathematical Priciples
Book I.


Section XIII.


Of the attractive forces of bodes which are not of a ſphærical figure.




Proposition LXXXV. Theorem XLII.


If a body be attracted by another, and its attraction be vaſtly ſtronger when it if contiguous to the attracting body, than when they are ſeparated from one another by a very ſmall interval; the forces of the particles of the attracting body decreaſe, in the receſs of the body attracted, in more than a duplicate ratio of the diſtance of the particles.

For if the forces decreaſe ine a duplicate ratio of the diſtances from the particles, the attraction towards a ſphærical body, being (by prop. 74.) re-

ciprocally