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

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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