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267)
[[left margin]] From the Gents Mag. 1737. Vol. 7. p. 412. [[/left margin]]

[[underline]] The [[/underline]] PARALLAX [[underline]] of the Sun deduced from Sir [[/underline]] Isaac Newton's [[underlined]] Principles, without making use of any Observations or of any [[/underline]] common Center of Gravity.

This Method is built upon the [[underline]] apparent Semidiameters of the Sun and of the Moon. [[/underline]] And upon the [[underline]] Proportion of the Diameters of the Moon and of the Earth. [[/underline]] And upon the supposed but erroneous [[underline]] Proportion of the Densities of the Sun and of the Earth. [[/underline]] And upon the [[underline]] Distance of the Focus of the Orbit of the Moon from the Center of the Earth. [[/underline]]  

[[left margin]] Fig. 50 [[/left margin]]

1. THE Radius LT, or mean Semidiameter of the Orbit of the Moon. L, being made of 100 Parts; let us conceive a Globe equal to the Earth and having its Center at the Distance of 365 Parts from the Center of the Earth. And then the opposite Tangents, drawn to that Globe from the Center of the Earth, will intercept an Angle of 31' 16" 1/2, equal to the mean apparent Diameter of the Moon. For we may here suppose with Sir [[underline]] Isaac Newton [[/underline]] p. 469, that the true Diameter of the Moon and of the Earth are to one another as 100 to 365, till their Proportion be determined much more nicely; which may certainly be done.
   2.   But if, from the Center of the Earth, we make the opposite Tangents, drawn to a Globe equal to the Earth, to intercept an Angle of 32' 12" equal to the mean apparent Diameter of the Sun, then the Center of that Globe equal to the Earth must be nearer and at a Distance from the Center of the Earth equal to 354, 5/48 Parts, or thereabout. 
For

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Number in final line may also be 354,5148