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[[margin]] A New Equation of Time. Gent. Mag. p.8-12 for 1738. [[/margin]]
[[underline]] Of a certain Astronomical Equation, either unknown or neglected by Astronomers, without which the Calculation of the Longitude, by Eclipses of fixed Stars by the Moon is necessarily subject to unavoidable Errors, which may amount to some Degrees of Longitude. [[/underline]]

Tho' every Objection against a plain Demonstration must fall of course, and upon that account may deserve no. Answer; yet I could not be satisfied, till, by the Permission of God, I had found a proper and mathematical Answer, to every rational Objection, that may be made against any Theory concerning the Parallax of the Sun.
2. The most important Objection, or at least that which I found the hardest for me to solve, is this:

[[margin]] Objection to it. [[/margin]] 
That the common Construction or Projection of Solar Eclipses, as it is explained by Sir [[underline]] Jonas More [[/underline]], answers exactly the Phenomena, tho' the Parallax of the Sun in reference to the Globe of the Earth be wholly neglected, or supposed only of 10" Seconds. But that if it be supposed, by a Medium, that the Sun's Parallax in reference to the Orbit of the Moon be of about 20 Degrees 20' Minutes, it is not conceivable that the said Projection could answer equally, and so nicely, the Phenomena.
[[margin]] Atmosphere of The Moon. [[/margin]] 3. Having long considered this Objection, I concluded at last, That the true Answer to it must arise from the sensible Refraction of Light, when, in its Passage thro' the Atmosphere of the Moon, it touches almost the Surface of the Moon.

[[margin]] Observed in Eclipses [[/margin]] 4. For that Atmosphere having been seen visibly, to about the Altitude of a Digit round about the moon, in the total Eclipse of the Sun, in 1706 (as it did afterwards in 1715) I concluded that there is such a refraction: And I found then a Method how