Of Newton's Principia

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                                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

Edmond Halley
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Cite as

Of Newton's Principia , 1687. From The Royal Society, CLP/21/13



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