Of Newton's Principia

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                                Philosophiae Naturalis Principia Mathematica Authore 
Is. Newton Trin.Coll. Cantab. Soc. Matheseos professore Lucasiane, 
& Societatis Regalis Sodali. 4<sup>to. <\sup> Londini. Prestat. apud pluros 
bibliopolas Londini. April 6:87


This incomparable Author having at length been prevailed
upon to appear in publick, has in this Treatise given a
most notable instance of the extent of the powers of the
Mind and has at once shewn what are the <s>Fundamentalls<\s> Principles
of Naturall Philosophie, and so farr derived from them their con
sequences that he seems to have exhausted his argument and left little to be done by those that shall succeed him.
His great skill in that old and new Geometry, helped by his 
own improvements of the latter, (I mean <s>the mention of <\s> his method of infinite series) has enabled him to master those 
Problemes, which for their difficultie would have still lain 
unsolved, had one less <s>able\<s> qualified than him self attempted them.
This Treatise is divided into three books whereof the two first 
are entituled de Motu Corporum, the third de Systemate Mundi.
The first begins with the definitions of the Terms made use
of, and distinguishes Time, Space, Place and Motion into <s>relative <\s> absolute 
and relative, real and apparent, Mathematicall & Vulgar: shewing 
the necessity of such distinction ; To these definitions are subjoyned 
the Laws of Motion with severall Corollaries therefrom; as concerning the composi 
tion and resolution of any direct force out of or into any oblique forces,
(whereby the powers of all sorts of Mechanicall Engines are demonstrated): <s>and of<\s>
the laws of the reflection of bodies in motion after their collision <s>&c<\s> and the like 
These necessary precognita being delivered our Author proceeds 
to consider the Curves generated by the composition of a direct impressed 
motion with a gravitation or tendency towards a center: and having 
demonstrated that in all cases the Areas at the center described by a revolving body are proportionall 
to the times, he shows how from the curve <s>given \<s> described, to find the law of the
decrease or increase of the tendency or Centrifugall force (as he calls it) <s>at\<s> in
differing distances from the center. Of this more and severall examples shewing 
us, that if the Curve described be a circle passing thro the center of tendency 
then the force or tendency towards that center is in all points as the 
fift power or squared-cube of the distance therefrom reciprocally if in
the proportionall spirall, reciprocally as the cube of the distance. If in an
Ellipse about the center therof directly as the distance 
                            
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Manuscript details

Author
Edmond Halley
Reference
CLP/21/13
Series
Cl.P
Date
1687
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Of Newton's Principia , 1687. From The Royal Society, CLP/21/13

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