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Zone of the Moon inlightened directly by the Limb of the Sun, over and above the Moon's Hemisphere.
9. And to this Breadth adding 1'16" for the additional Zone inlightened upon account of the Refraction of Light in the Atmosphere of the Moon; we shall have 90°17'13", 26 for the whole Zone inlightened by the Sun, and measured in any great Circle of the Moon, situate in a plane passing thro' [[strikethrough]] t [[/strikethrough]] her Center and the Center of the Sun.
10. At the Time of the Moon's Quadrature, any Astronomers provided with proper Instruments, may observe most nicely the apparent Diameter of the Moon, and the Breadth of her enlight ^ [[insertion]] e [[/insertion]] ned Part, where it seems terminated by a right Line. And by that means they may satisfie themselves also, about the Quantity of the Refraction of Light in y [[superscript]] e [[/superscript]] Moon's Atmosphere.
11. And at the same Time, they may make also the necessary Observations for determining accurately the [[underlined]] Moment [[/underlined]] when the Distance, betwixt the Centers of the Sun and of the Moon, appears to be of Ninety Degrees.
12. And likewise, with good Telescopes, having a Bit of raw Silk or small Silver-wire stretched in the Focus, and passing thro' the Axis of the Telescope, they may determine, as nicely as possible, the [[underlined]] Moment [[/underlined]] when the inlightened Part of the Moon seems terminated by a right Line. For if the [[strikethrough]] P [[/strikethrough]] raw Silk &c. did not pass thro' the Axis of the Eye-glass, which I suppose to be convex; that Silk and the rectilinear Section of the Moon would appear curvilinear, with their Convexity turned toward the Axis of the Eye-glass.
13. Now, according to [[underlined]] Sir Issac Newton [[/underlined]], the [[underlined]] Time [[/underlined]] between those two [[underlined]] Moments [[/underlined]] will be but small; and will not amount to half an Hour.
14. But, according to my Demonstrations, That very same [[underlined]] variable Time [[/underlined]] will amount to about four Hours and perhaps three quarters. A Difference easily observable even by Persons unacquainted with Astronomy; but helped with a common [[underlined]] Ephemeris [[/underlined]] of the Motions of the Moon ^ [[insertion]] ! [[/insertion]] 
And thus I appeal to the Heavens and to Mankind, that is, to proper and faithful Observations of this sort, for a clear and sensible Decision of the Controversy between Sir

Transcription Notes:
minor edits -megshu