s ° ʹ
Sun’s mean Dist. from the [83]Node at New Moon in _April 1764_ 0 5 37
To which add the Equation of the Node + 10
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And it gives the Sun’s corrected Distance from the Node 0 5 47
To which cor. Dist. add the Eq. of the Sun’s mean Place + 1 56
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And it gives the Sun’s true Distance from the Node 0 7 43
Which, being at the time of New Moon, is the _Argument of Latitude_; and
in Table XIV, (making proportions for the 43ʹ) shews the Moon’s Latitude
to be 40ʹ 9ʺ _North Ascending_[84].
_To find the Moon’s true hourly Motion from the Sun._
[Sidenote: Seventh Element.]
364. PRECEPT. With the Moon’s Anomaly enter Table XV, and thereby take
out her true hourly Motion: then with the Sun’s Anomaly take out his
true hourly Motion from the same Table: which done, subtract the Sun’s
hourly Motion from the Moon’s, and the remainder will be the Moon’s true
hourly Motion from the Sun; which, for the above time § 359, is 27ʹ 50ʺ.
_To find the Semi-diameters of the Sun and Moon as seen from the Earth
at the above-mentioned time._
[Sidenote: Eighth and Ninth Elements.]
365. PRECEPT. Enter the XVth Table with the Sun’s Anomaly, and thereby
take out his Semi-diameter; and in the same manner take out the Moon’s
Semi-diameter by her Anomaly. The former of which for the above time
will be found to be 16ʹ 6ʺ; the latter 14ʹ 58ʺ.
_To find the Semi-diameter of the Penumbra._
[Sidenote: Tenth Element.]
366. PRECEPT. Add the Sun’s semi-diameter to the Moon’s, and their Sum
will be the Semi-diameter of the Penumbra; namely, at the above time 31ʹ
4ʺ.
[Sidenote: Pl. XII.]
366. Having found the proper Elements or Requisites for the Sun’s
Eclipse _April 1, 1764_, and intending to project this Eclipse
Geometrically, we shall now collect them under the eye, that they may be
the more readily found as they are wanted in order for the Projection.
[Sidenote: The proper Elements collected.]