A TABLE of the Dominical Letters for the New Style, ac- Cycle. Letter. ||Cycle. | Letter. ||Cycle. Letter. ||Cycle. | Letter. RULE.-Add to the given year 457; divide the sum by 532, and the remainder will be the number required. EXAMPLE. Required the year of the Dionysian Period for the year 1786? To 1786 Add 457 532)2243(4. 2128 115 Dionysian Period. PROBLEM XV. To find the year of Indiction. RULE. Add 3 to the given year; divide the sum by 15, and the remainder, after division, will be the Indiction; if nothing remain, it will be 15. EXAMPLE. RULE.--Add 4713 to the given year and the sum will be the Julian Period. EXAMPLE. What year of the Julian period will answer to the year 1786? To 1786 6499 Ans. PROBLEM XVII. To find the Cycle of the Sun, Golden Number, and Indition, for any current year. RULE. To the current year add 4729 ;* divide the sum by 28, 19 and 15, respectively, and the several remainders will be the numbers required; when nothing remains, the divisor is the number required. EXAMPLE. What are the Cycle of the Sun, Golden Number, and Indiction, for the year 1807? 1807 19)6536(344 15)6536(435 For any year in the nineteenth century add 4718416-4728. PROBLEM PROBLEM XVIII. To find the time of High Water. RULE. Find the Moon's southing, to which add the point of the compass making full sea, on the full and change days, for the place proposed, and the sum will be the time required. EXAMPLE. I demand the time of high water at Boston, January 25th, 1786, admitting the tide to flow and ebb N. W. and S. E. on the days of change and full ? We have before found the Moon's southing to be 7h. 12m. in the morning. h. m. Therefore to 7 12 Add 4 0 the point of the compass, and it Gives 11 12 in the morning, for the time of high water. PROBLEM XIX. To find on what day Easter will happen. It was ordered by the Nicene Council, that Easter Sunday should be kept on the first Sunday after the first full moon, which happened upon or after the twenty first day of March, the day on which they thought the Vernal Equinox happened. Though this was a mistake, for the Vernal Equinox, that year, fell on the twentieth of MarchBut yet, the full moon, which fell on, or next after the twenty first of March, they called the Paschal full moon. And by the introduction of the Gregorian, or New Style, the Equinox will now always happen on the twentieth or twenty first of March. And the feast of Easter is now to be kept on the next Sunday after the Paschal full moon, or the full moon which happens after the twenty first of March; but, if the full moon happens on a Sunday, Easter day is to be the next Sunday after. RULE. Find the age of the moon on the 21st of March, in the given year, and if it be 14, then find the day of the week answering to it, and the Sunday following is Easter Sunday; but if the moon's age on the 21st day of March be not 14, then reckon forward to the day on which the moon's age is 14, and find the day of the week answering to that day; the Sunday following will be the day required. N. B. On leap year take the 20th of March. EXAMP. When does Easter happen in the year 1786? 21 of March 29 Epact. I No. of the month. Add 23 -- 44 Brought over. Take 31 days in March. 13th of April, the day of the full moon, or Easter limit, 28 5 Therefore, the first of January being Sunday, reckon forward 5 days, including Sunday, and you will find the 13th of April falls on Thursday, consequently the next Sunday is the 16th, which is Easter Sunday. Easter may be found, for any future time, by the following Ta ble which is calculated from 1753, the time of the commencement of the New Style in America, and which shews, by the Golden Number, the days of the Paschal full moons; by which, and the Dominical Letter, the day, on which Easter will fall, may be found. The Use of the Table. First, find the Golden Number as before taught, which seek in the column of Golden Numbers under the time in which the given year is included; right against the Golden Number of the year, in the last column but one, you have the day of the month on which the Paschal full moon happens, which is the limit of Easter; from thence-run your eye down among the Dominical Letters, till you come to the Letter of the given year, and against it you have the day of the month, on which Easter falls that year. EXAMPLE. To know when Easter falls in 1786. The Golden Number for the year being one, and the Dominical Letter A; therefore seek in the first column (the given year being included between the years 1753 and 1899) for the Golden Number: then cast your eye along to the last column but one, under the title, Paschal full, and you will find the thirteenth of April to be the day of the full moon; against which, in the last column, stands Ę, which shews it to be Thursday, therefore the next Sunday following is Easter Sunday, which, by going down the column of Letters to the next A, you will find to be the sixteenth of April. 1 GOLDEN GOLDEN NUMBERS from 1753 to 1899, and so on to 4199, inclusively 1753/1900/2200 | 2300/2400/2500| 26001 2900 | 3100′ 3400|3500| 3000 | 370013800 41001 to to to to to to to to to to to to to to to 189921992299 2399|2499|2599|2899|3099|3399 3499.3592 3699|37994099|4199| 6 17 6 17 6 16 5 - 13 16 2 13 8 19 6 17 9 19150 12 9 17 1223 E 124 F 17 9 9 6 25 G Given two numbers, viz. 275 and 12·6, to find their produč. RULE. To the logarithm of 275, viz. 2.43938 - 1.10037 And their sum is the logarithm of their prod. viz. 84653-53970 |