
proportion of the distances from the center <s>but to <\s> and decreasing within its surface as the distance from the center directly soe as to be greatest on the surface and nothing at the Center and tho this might suffice yet to compleat the ar gument there is laid down a method to determine the forces of globes composed of particles whose tendencys to each other doe decrease in any other <u>ratio <\u> of the distances ; which speculation is carried on likewise to other bodies not sphericall, whether finite or <s>infinite <\s> considered as. Lastly is proposed a method of explaining the refractions and reflections of Glass transparet bodies from the same principles ; and severall problems solved of the greatest concern in the art of Dioptricks. II Hitherto our Author has considered the effects of compound motions in Modiis non resistentibus, wherin a body once in motion would move equably in a direct line, if not diverted by a supervening attraction of tenden toward some other bodie. Here it is demonstrated what would be the consequence of a resistence from a Medium, either in the simple or duplicate ratio of the Velocity or else between both, and to compleat this argument is laid down a generall method of determining the density of the Medium in all places, which, with a uniform gravity tending perpendicularly to the plain of the Horizon, shall make a <u>project<\u> move in any curve line assigned, which is the 90th prop, of Lib II. Then the Circular motion of bodies in resisting <u>Media <\u> is determined, and is shewn upon what law of decrease of density the circle will become a proportio nall spirall Next the density of fluids, is considered and the doctrine of Hydrostaticks demonstrated, and here
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Manuscript details
- Author
- Edmond Halley
- Reference
- CLP/21/13
- Series
- Cl.P
- Date
- 1687
- IIIF
-
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Cite as
Of Newton's Principia , 1687. From The Royal Society, CLP/21/13
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