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193)
least 20 Minutes: And so the [[underlined]] least Error [[/underlined]] in Longitude would be, in the first Case, of 3 Min. 47,37 Seconds; and, in the second Case, of 5 min. 8,57 Seconds of Time.
14. But if we would have a general View of these Errors in Longitude and Latitude; the best Method would be to make a proper Projection of y [[superscript]] e [[/superscript]] Globe of y [[superscript]] e [[/superscript]] Earth, as seen from the Sphere of the fixed Stars, taking for Foundation all its [[underlined]] Data [[/underlined]] corrected by our New Theory; and among [[underlined]] them [[/underlined]] the true Diameter of that [[underlined]] Space [[/underlined]] in the Sphere of the fixed Stars, [[underlined]] which [[/underlined]] the refracted Rays of Light, passing to or from the Observator, close by the Surface of the Moon, cannot reach.
15. For all these Errors, as far as they arise only from the aforesaid Refraction, would be prevented by supposing the [[underlined]] apparent Diameter [[/underlined]] of the Moon to be smaller than it does really appear, or than a most accurate Theory would give [[underlined]] it [[/underlined]]; and that, as I reckon it, by 4'24". An enormous Difference! whereof Astronomers did not so much suspect, or hope, that this its true and only Cause should ever be found.
16. And whereas Dr [[underlined]] Hall ^ [[insertion]] e [[/insertion]] y [[/underline]] told me in 1728, That the Theory of the Moon did enable us to calculate the apparent Place of the Moon within 4 1/2 Minutes, the Errors of the Tables included: I cannot but take Notice that accordingly, notwithstanding the great and dangerous Influence

Transcription Notes:
edited for insertion tags and minor typos -megshu