_To find the time of Full Moon in_ May 1761, _N. S._
+------------------------------------+----------+-------------+-------------+
| | | Sun’s Anom. | Moon’s Ano. |
| | D. H. M. +-------------+-------------+
| | | s ° ʹ | s ° ʹ |
| +----------+-------------+-------------+
| Mean time of Full Moon in _March_ | 20 12 9 | 8 20 2 | 9 1 13 |
| Add, for two Lunations | 59 1 28 | 1 28 13 | 1 21 38 |
| | -------- | ---------- | ---------- |
| The several sums are | 79 13 37 | 10 18 15 | 10 22 51 |
| +----------+-------------+ |
| The days, in Tab. VII, answer to | | Equ. Moon’s Anom. - 13 |
| _May 18_ | 18 13 37 | ---------- |
| Moon’s annual Equation add | + 14 | Anom. cor. 10 22 38 |
| | -------- | Sun’s Equat. + 1 15 |
| Mean time corrected | 18 13 51 | ---------- |
| Moon’s elliptic Equation subtract | - 5 38 | Moon’s Ano. 10 23 53 |
| | -------- +---------------------------+
| Mean time equated | 18 8 13 | h. m. |
| Sun’s Equation add | + 2 19 | Moon’s ann. Equ. 0 14 add |
| | -------- | Her ellipt. Equ. 5 38 sub.|
| True time of Opposition, _May_ | 18 10 32 | Sun’s Equation 2 19 add |
| +----------+---------------------------+
| Namely, the 18th day, at 32 minutes past 10 at night. |
+---------------------------------------------------------------------------+
The Leap-years are allowed for in the Tables, so as to give no Trouble
in these Calculations.
_To compute the time of New and Full Moon in a given year and month, of
any particular Century, between the Christian Æra[78] and 18th Century._
PRECEPT I. Find the like year of the 18th Century in Table I., for New
Moon, or Table III., for Full Moon; and take out the New or Full Moon in
_March_ for that year, with the Anomalies of the Sun and Moon.
II. From Table V, take as many compleat Centuries, as when subtracted
from the above year of the 18th Century, will answer to the given year;
and take out the Conjunctions and Anomalies of these Centuries.
III. Subtract the Conjunctions and Anomalies of these Centuries from
those of the New or Full Moon in _March_ above taken out, and the
remainders will shew the mean time of New or Full Moon in _March_ the
given year, with the Anomalies of the Sun and Moon at that time. Then,
work in all respects for the true time of the proposed New or Full Moon,
as taught by the Precepts already given § 355.