+----------------------------------------------+-------------+------------+ | | Sun’s Long. | Sun’s mean | | | from Aries. | Anomaly. | | +-------------+------------+ | | s ° ʹ | s ° ʹ | | Table I. To the Sun’s mean Place and +-------------+------------+ | Anomaly at the mean time of New Moon | | | | in _March 1764_, N. S. | 11 17 7 | 8 2 23 | | Add the same from Tab. VI. for one Lunation, | | | | to carry it to _April_ | 0 29 6 | 0 29 6 | | | --------- | ---------- | | Mean Place and Anomaly at the time of New | | | | Moon in _April_ | 0 10 13 | 9 1 29 | | To which place add the Sun’s Equation | +------------+ | from Tab. XII. | 1 56 | Equal | | | --------- | 1° 56ʹ | | And it gives the Sun’s true place | 0 12 9 | Additive. | | +-------------+------------+ | Which is Aries 12° 9ʹ; and this, when taken from three Signs, or the | | beginning of Cancer, leaves 2 signs 17 deg. 51 min., or 77° 51ʹ for | | the Sun’s distance from the then nearest Solstice. | +-------------------------------------------------------------------------+ 360. But because the Sun’s true Place is often wanted when the Moon is neither New nor Full, we shall next shew how it may be found for any given moment of time: though this be digressing from our present purpose. In Table XVI find the nearest lesser year to that in which the Sun’s Place is sought; and take out the Sun’s mean Longitude and Anomaly answering thereto; to which add his mean motion and Anomaly for the compleat residue of the years, with the month, day, hour, and minute, all taken from the same Table, and you have the Sun’s mean Longitude and Anomaly for the given time. Then, from Table XII take out the Sun’s Equation by means of his Anomaly (making proportions for the odd minutes of Anomaly) which Equation being added to or subtracted from the Sun’s mean Longitude from Aries, as the titles in the Table direct, gives his true Place, or Longitude from the beginning of Aries, reckoned according to the order of the Signs § 354. EXAMPLE. _To find the Sun’s true Place_ April _30th, A. D. 1757, at 18 minutes 40 seconds past 10 in the morning_.