EXAMPLE V. Required the true time of new Moon in May, Old Style, the year before Christ, 585, at ALEXANDRIA, in EGYPT. The year 584, added to 1716, make 2300, or 23 Centuries The true time of new Moon at ALEXANDRIA in May, 585 years before Christ, was on the 28th day, 6 hours, 6 minutes and 30 seconds, afternoon. The Sun being then only three degrees and 51 minutes from the Moon's ascending node; was consequently eclipsed. The above Eclipse was central, and total in NORTH AMERICA at eleven o'clock in the morning; it also passed centrally over the south parts of FRANCE and ITALY. The duration of total darkness being about 3 minutes. EXAMPLE VIII. Required the true time of full Moon, at ALEXANDRIA in EGYPT, in September, Old Style, in the year 201 before the Christian Era. 200 years added to 1800, make 2000, or 20 Centuries. Meann.Moon Sun's mean Moon's mean Sun's dis. frm DMS By the PRECEPTS Anomaly. D March, 1800. Add 1 lunation. H M S S D M S S D M S S 13 0 22 17 8 23 19 55 10 7 52 36 11 29 12 44 30 29 6 19 0 25 49 0 From the same, 42 13 06 20 9 22 26 1411 3 41 36 Subtract 2000 yr's. 27 18 9 19 0 8 50 0 0 15 42 0 m n. moon b C.201 14 18 57 01 9 13 36 14 10 17 59 26 Add 6 lunations. 177 4 24 18 5 24 37 56 5 4 54 3 6 8 58 24 1 0 40 14 0 4 38 38 6 27 45 0 5 6 53 38 4 1 24 191 full moon Sep. 201 First equation. Time once eqt'd. 22 13 52 15 3 22 47 20 10 4 19 55 11 26 15 Second equation. 8 25 410 4 19 55 Arg. 2d. eqt. Time twice eqt'd. 22 5 26 11 5 18 27 25 10 4 19 55 11 26 15 Third equation. 58 Arg. 3d. eqt. Arg. 4th eqt. 22 5 25 13 12 true T.at LONDON 22 5 25 1 7 23 21 19 3 8 14 10 3 22 53 39 11 10 55 2 14 18 22 2 0 14 33 10 6 12 54 30 0 15 20 7 22 17 43 21 3 22 47 20 10 5 48 911 26 15 3 52 6 Arg. 1st. eqt. 1 28 14 9 9 9 The true time of full Moon, at ALEXANDRIA in EGYPT in the year before Christ, 201, in September, was on the 22d day, 7 hours, 34 minutes, and 34 seconds, the actual time of opposition. The Sun being within three de grees and 45 minutes of the Moon's ascending node, consequently the Moon was visibly eclipsed at that time at ALEXANDRIA. To calculate the true time of new or full Moon, and Eclipses in any given year; and month after the 18th Century. Find a year of the same number in the 18th century with that of the year proposed, and take out the mean time, and anomalies &c of new moon in March, old style, from table first for that year. Take so many years from table second, as when added to the above mentioned year in the 18th century will answer to the given year in which the new, or full moon is required; and take out the first new Moon with its anomalies &c for these complete centuries. Add all these together, and then proceed as before directed, to reduce the mean to the true syzygy. It is however necessary to remember, to subtract a lunation with its anomalies, when the above said addition carries the new Moon beyond the 31st day of March, as in the following example. EXAMPLE IX. Required the true time of New Moon in July, old style, 2180 at Washington. Four centuries added, to 1780 make 2180. New Moon Sun's mean Moon's mean] Sun's disin March anomalies anomalies. tance from the node. By the precepts. March 1780 add 400 years Subtract 1 lunation Mean time new Moon March 2180 add 4 lunations N. M. July 2180 Third equation, Fourth equation F. Clock T. time at London 7 21 57 22 0 15 1 11 2 10 2 49 8 8 10 43 3 39 Arg. 1st eqt. 1 24 12 7 20 53 43 0 15 1 11 2 9 38 37 8 8 10 43 9 24 8 2 9 38 37 Arg. 2nd eqt Arg. 4th eqt 6 17 51 10 5 22 34 3 56 Arg. 3d eqt. 8 6 21 47 8 6 22 55 8 6 18 25 8 1 10 25 The true of time New Moon, old style, will then be on the 8th day of July, 1 hour 10 minutes and 25 seconds after noon; or the 22d day, at the same hour minute and second new style. 4* |
