EXAMPLE II.

_To find the time of Full Moon in_ April _A. D. 30, O. S._

From 1730 subtract 1700, and there remains 30.

+------------------------------------+----------+-------------+-------------+

| | | Sun’s Anom. | Moon’s Ano. |

| | D. H. M. +-------------+-------------+

| | | s ° ʹ | s ° ʹ |

| +----------+-------------+-------------+

| Tab. III. Mean time of Full Moon | | | |

| in _March 1730_ | 22 6 58 | 9 2 40 | 3 13 23 |

| Tab. V. Conj. and Anom. for 1700 | | | |

| years subtract | 14 17 37 | 11 28 46 | 10 29 36 |

| | -------- | ---------- | ---------- |

| Rem. the Opposition and Anom. in | | | |

| _March_ A. D. 30 | 7 13 21 | 9 3 54 | 4 13 47 |

| Tab. V. Add, for one Lunation, to | | | |

| bring it into _April_ | 29 12 44 | 0 29 6 | 0 25 49 |

| | -------- | ---------- | ---------- |

| The sums are | 37 2 5 | 10 3 0 | 5 9 36 |

| +----------+-------------+ |

| The Days in Tab. VII. answer to | | Equ. Moon’s Anom. - 17 |

| _April 6_ | 6 2 5 | ---------- |

| To which add the sum of the three | | Anom. cor. 5 9 19 |

| Equations | 6 1 | Sun’s Equat. + 1 35 |

| | -------- | ---------- |

| True time of Opposition | | Moon’s Ano. 5 10 54 |

| _April_ A. D. 30 | 6 8 6 | |

| +-----+----+---------------------------+

| Which is the 6th day, at 6 minutes past | Moon’s ann. Eq. 0^h 18^m add |

| 8 in the Evening. And thus, the time | Her ellipt. Equ. 2 46 add |

| of New or Full Moon may be found for | Sun’s Equat. 2 57 add |

| any given year and month after the | ------------- |

| Christian Æra. | Sum 6 1 add |

+------------------------------------------+--------------------------------+

[Sidenote: Remark.]

_N. B._ Sometimes it happens that the days annexed to the Centuries in

Table V are more in number than the days on which the New or Full Moon

happens in _March_ the year of the 18th Century, with which the

computation begins; as in the third following Example, _viz._ for the

Full Moon in _March_ the year before CHRIST 721: in which case, a

Lunation and it’s Anomalies must be added, from Table VI, to the days

and Anomalies of the New or Full Moon in _March_; and then, subtraction

can be made: and having gained a remainder, work in all respects as

taught in § 355.

_To find the time of New or Full Moon in any given year and month before

the Christian Æra._

356. PRECEPT I. Find a year of the 18th Century, which added to the

given number of years before CHRIST, diminished by one, shall make a

number of whole Centuries.

II. Find this number of Centuries in Table V, and subtract the Time and

Anomalies answering to it from the Time and Anomalies answering to the

mean New or Full Moon in _March_ the year of the 18th Century thus

found; and they will give the mean time of New or Full Moon in _March_

the given year before CHRIST, with the Anomalies answering thereto.

Whence the true time of that New or Full Moon may be had by the Precepts

already delivered § 355.

III. The Tables are calculated for the Meridian of _London_: therefore,

in computing for any place westward of _London_, four minutes of time

must be subtracted from the time shewn by the Tables, for every degree

the place is westward; and added for every degree it is eastward. See §

210.

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