The year 1800 begins a new Cycle.
Easter Cycle, deficient.

425. The Cycle of Easter, also called the Dionysian Period, is a revolution of 532 years, found by multiplying the Solar Cycle 28 by the Lunar Cycle 19. If the New Moons did not anticipate upon this Cycle, Easter-Day would always be the Sunday next after the first Full Moon which succeeds the 21st of March. But, on account of the above anticipation § 422, to which no proper regard was had before the late alteration of the Style, the Ecclesiastic Easter has several times been a week different from the true Easter within this last Century: which inconvenience is now remedied by making the Table which used to find Easter for ever, in the Common Prayer Book, of no longer use than the Lunar difference from the New Style will admit of.

Number of Direction.

To find the true Easter.

426. The earliest Easter possible is the 22d of March, the latest the 25th of April. Within these limits are 35 days, and the number belonging to each of them is called the Number of Direction; because thereby the time of Easter is found for any given year. To find the Number of Direction, according to the New Style, enter Table V following this Chapter, with the compleat hundreds of any given year at the top, and the years thereof (if any) below an hundred at the left hand; and where the columns meet is the Dominical Letter for the given year. Then, enter Table I, with the compleat hundreds of the same year at the left hand, and the years below an hundred at the top; and where the columns meet is the Golden Number for the same year. Lastly, enter Table II with the Dominical Letter at the left hand and Golden Number at the top; and where the columns meet is the Number of Direction for that year; which number, added to the 21st day of March shews on what day either of March or April Easter Sunday falls in that year. Thus, the Dominical Letter New Style for the year 1757 is B (Table V) and the Golden Number is 10, (Table I) by which in Table II, the Number of Direction is found to be 20; which, reckoned from the 21st of March, ends on the 10th of April, and that is Easter Sunday in the year 1757. N. B. There are always two Dominical Letters to the leap-year, the first of which takes place to the 24th of February, the last for the following part of the year.

Dominical Letter.

427. The first seven Letters of the Alphabet are commonly placed in the annual Almanacks to shew on what days of the week the days of the months fall throughout the year. And because one of those seven Letters must necessarily stand against Sunday it is printed in a capital form, and called the Dominical Letter: the other six being inserted in small characters to denote the other six days of the week. Now, since a common Julian Year contains 365 Days, if this number be divided by 7 (the number of days in a week) there will remain one day. If there had been no remainder, ’tis plain the year would constantly begin on the same day of the week. But since one remains, ’tis as plain that the year must begin and end on the same day of the week; and therefore the next year will begin on the day following. Hence, when January begins on Sunday, A is the Dominical or Sunday Letter for that year: then, because the next year begins on Monday, the Sunday will fall on the seventh day, to which is annexed the seventh Letter G, which therefore will be the Dominical Letter for all that year: and as the third year will begin on Tuesday, the Sunday will fall on the sixth day; therefore F will be the Sunday Letter for that year. Whence ’tis evident that the Sunday Letters will go annually in a retrograde order thus, G, F, E, D, C, B, A. And in the course of seven years, if they were all common ones, the same days of the week and Dominical Letters would return to the same days of the months. But because there are 366 days in a leap-year, if this number be divided by 7, there will remain two days over and above the 52 weeks of which the year consists. And therefore, if the leap-year begins on Sunday, it will end on Monday; and the next year will begin on Tuesday, the first Sunday whereof must fall on the sixth of January, to which is annexed the Letter F, and not G as in common years. By this means, the leap-year returning every fourth year, the order of the Dominical Letters is interrupted; and the Series does not return to its first state till after four times seven, or 28 years: and then the same days of the month return in order to the same days of the week.

To find the Dominical Letter.

428. To find the Dominical Letter for any year either before or after the Christian Æra[87]: In Table III or IV for Old Style, or V for New Style, look for the hundreds of years at the head of the Table, and for the years below an hundred (to make up the given year) at the left hand: and where the columns meet you have the Dominical Letter for the year desired. Thus, suppose the Dominical Letter be required for the year of Christ 1758, New Style, I look for 1700 at the head of Table V, and for 58 at the left hand of the same Table; and in the angle of meeting, I find A, which is the Dominical Letter for that year. If it was wanted for the same year Old Style, it would be found by Table IV to be D. But to find the Dominical Letter for any given year before Christ, subtract one from that year and then proceed in all respects as just now taught, to find it by Table III Thus, suppose the Dominical Letter be required for the 585th year before the first year of Christ, look for 500 at the head of Table III, and for 84 at the left hand; in the meeting of these columns is FE, which were the Dominical Letters for that year, and shews that it was a leap-year; because, leap-year has always two Dominical Letters.

To find the Days of the Months.

429. To find the day of the month answering to any day of the week, or the day of the week answering to any day of the month; for any year past or to come: Having found the Dominical Letter for the given year, enter Table VI, with the Dominical Letter at the head; and under it, all the days in that column to the right hand are Sundays, in the divisions of the months; the next column to the right are Mondays; the next, Tuesdays; and so on to the last column under G, from which go back to the column under A, and thence proceed towards the right hand as before. Thus, in the year 1757, the Dominical Letter New Style is B, in Table V, then in Table VI all the days under B are Sundays in that year, viz. the 2d, 9th, 16th, 23d, and 30th of January and October; the 6th, 13th, 20th, and 27th of February, March and November; the 3d, 10th, and 17th, of April and July, together with the 31st of July: and so on to the foot of the column. Then, of course, all the days under C on Mondays, namely the 3d, 10th, &c. of January and October; and so of all the rest in that column. If the day of the week answering to any day of the month be required, it is easily had from the same Table by the Letter that stands at the top of the column in which the given day of the month is found. Thus, the Letter that stands over the 28th of May is A; and in the year 585 before Christ the Dominical Letter was found to be FE § 428; which being a leap-year, and E taking place from the 24th of February to the end of that year, shews by the Table that the 25th of May was on a Sunday; and therefore the 28th must have been on a Wednesday: for when E stands for Sunday, F must stand for Monday, G for Tuesday, A for Wednesday, B for Thursday, C for Friday, and D for Saturday. Hence, as it appears that the famous Eclipse of the Sun foretold by Thales, by which a peace was brought about between the Medes and Lydians, happened on the 28th of May, in the 585th year before Christ, it certainly fell on a Wednesday.

Julian Period.

430. From the multiplication of the Solar Cycle of 28 years into the Lunar Cycle of 19 years, arises the great Julian Period consisting of 7980 years; which had its beginning 764 years before the supposed year of the creation (when all the three Cycles began together) and is not yet compleated, and therefore it comprehends all other Cycles, Periods and Æras. There is but one year in the whole Period which has the same numbers for the three Cycles of which it is made up: and therefore, if historians had remarked in their writings the Cycles of each year, there had been no dispute about the time of any action recorded by them.

To find the year of this Period.

And the Cycles of that year.

431. The Dionysian or vulgar Æra of Christ’s birth was about the end of the year of the Julian Period 4713; and consequently the first year of his age, according to that account, was the 4714th year of the said Period. Therefore, if to the current year of Christ we add 4713, the Sum will be the year of the Julian Period. So the year 1757 will be found to be the 6470th year of that Period. Or, to find the year of the Julian Period answering to any given year before the first year of Christ, subtract the number of that given year from 4714, and the remainder will be the year of the Julian Period. Thus, the year 585 before the first year of Christ (which was the 584th before his birth) was the 4129th year of the said Period. Lastly, to find the Cycles of the Sun, Moon, and Indiction for any given year of this Period, divide the given year by 28, 19, and 15; the three remainders will be the Cycles sought, and the Quotients the numbers of Cycles run since the beginning of the Period. So in the above 4714th year of the Julian Period the Cycle of the Sun was 10, the Cycle of the Moon 2, and the Cycle of Indiction 4; the Solar Cycle having run through 168 courses, the Lunar 248, and the Indiction 314.

The true Æra of Christ’s birth.

432. The vulgar Æra of Christ’s birth was never settled till the year 527; when Dionysius Exiguus, a Roman Abbot, fixed it to the end of the 4713th year of the Julian Period; which was certainly four years too late. For, our Saviour was undoubtedly born before the Death of Herod the Great, who sought to kill him as soon as he heard of his birth. And, according to the testimony of Josephus (B. xvii. c. 8.) there was an eclipse of the Moon in the time of Herod’s last illness: which very eclipse our Astronomical Tables shew to have been in the year of the Julian Period 4710, March 13th, 3 hours 21 minutes after mid-night, at Jerusalem. Now, as our Saviour must have been born some months before Herod’s death, since in the interval he was carried into Ægypt; the latest time in which we can possibly fix the true Æra of his birth is about the end of the 4709th year of the Julian Period. And this is four years before the vulgar Æra thereof.

The time of his crucifixion.

In the former edition of this book, I endeavoured to ascertain the time of Christ’s death; by shewing in what year, about the reputed time of the Passion, there was a Passover Full Moon on a Friday: on which day of the week, and at the time of the Passover, it is evident from Mark xv. 42. that our Saviour was crucified. And in computing the times of all the Passover Full Moons from the 20th to the 40th year of Christ, after the Jewish manner, which was to add 14 days to the time when the New Moon next before the Passover was first visible at Jerusalem, in order to have their day of the Passover Full Moon, I found that the only Passover Full Moon which fell on a Friday, in all that time, was in the year of the Julian Period 4746, on the third day of April: which year was the 33d year of Christ’s age, reckoning from the vulgar Æra of his birth, but the 37th counting from the true Æra thereof: and was also the last year of the 402d Olympiad[88], in which very year Phlegon an Heathen writer tells us, there was the most extraordinary Eclipse of the Sun that ever was known, and that it was night at the sixth hour of the day. Which agrees exactly with the time that the darkness at the crucifixion began, according to the three Evangelists who mention it[89]: and therefore must have been the very same darkness, but mistaken by Phlegon for a natural Eclipse of the Sun; which was impossible on two accounts, 1. because it was at the time of Full Moon; and 2. because whoever takes the pains to calculate, will find that there could be no regular and total Eclipse of the Sun that year in any part of Judea, nor any where between Jerusalem and Egypt: so that this darkness must have been quite out of the common course of nature.

From the co-incidence of these characters, I made no doubt of having ascertained the true year and day of our Saviour’s death. But having very lately read what some eminent authors have wrote on the same subject, of which I was really ignorant before; and heard the opinions of other candid and ingenious enquirers after truth (which every honest man will follow wherever it leads him) and who think they have strong reasons for believing that the time of Christ’s death was not in the year of the Julian Period 4746, but in the year 4743; I find difficulties on both sides, not easily got over: and shall therefore state the case both ways as fairly as I can; leaving the reader to take which side of the Question he pleases.

Both Dr. Prideaux and Sir Isaac Newton are of opinion that Daniel’s seventy weeks, consisting of 490 years (Dan. chap. ix. v. 23-26) began with the time when Ezra received his commission from Artaxerxes to go to Jerusalem, which was in the seventh year of that King’s reign (Ezra ch. vii. v. 11-26) and ended with the death of Christ. For, by joining the accomplishment of that prophecy with the expiation of Sin, those weeks cannot well be supposed to end at any other time. And both these authors agree that this was Artaxerxes Longimanus, not Artaxerxes Mnemon. The Doctor thinks that the last of those annual weeks was equally divided between John’s ministry and Christ’s. And, as to the half week, mentioned by Daniel chap. ix. v. 27. Sir Isaac thinks it made no part of the above seventy; but only meant the three years and an half in which the Romans made war upon the Jews from spring in A.D. 67 to autumn in A.D. 70, when a final Period was put to their sacrifices and oblations by destroying their city and sanctuary, on which they were utterly dispersed. Now, both by the undoubted Canon of Ptolemy, and the famous Æra of Nabonassar, which is so well verified by Eclipses that it cannot deceive us, the beginning of these seventy weeks, or the seventh year of the reign of Artaxerxes Longimanus, is pinned down to the year of the Julian Period 4256: from which count 490 years to the death of Christ, and the same will fall in the above year of the Julian Period 4746: which would seem to ascertain the true year beyond dispute.

But as Josephus’s Eclipse of the Moon in a great measure fixes our Saviour’s birth to the end of the 4713th year of the Julian Period, and a Friday Passover Full Moon fixes the time of his death to the third of April in the 4746th year of that Period, the same as above by Daniel’s weeks, this supposes our Saviour to have been crucified in the 37th year of his age. And as St. Luke chap. iii. ver. 23. fixes the time of Christ’s baptism to the beginning of his 30th year, it would hence seem that his publick ministry, to which his baptism was the initiation, lasted seven years. But, as it would be very difficult to find account in all the Evangelists of more than four Passovers which he kept at Jerusalem during the time of his ministry, others think that he suffered in the vulgar 30th year of his age, which was really the 33d; namely in the year of the Julian Period 4743. And this opinion is farther strengthened by considering that our Saviour eat his last Paschal Supper on a Thursday evening, the day immediately before his crucifixion: and that as he subjected himself to the law, he would not break the law by keeping the Passover on the day before the law prescribed; neither would the Priests have suffered the Lamb to be killed for him before the fourteenth day of Nisan when it was killed for all the people, Exod. xii. ver. 6. And hence they infer that he kept this Passover at the same time with the rest of the Jews, in the vulgar 30th year of his age: at which time it is evident by calculation that there was a Passover Full Moon on Thursday April the 6th. But this is pressed with two difficulties. 1. It drops the last half of Daniel’s seventieth week, as of no moment in the prophecy; and 2. it sets aside the testimony of Phlegon, as if he had mistaken almost a whole Olympiad.

Others again endeavour to reconcile the whole difference, by supposing, that as Christ expressed himself only in round numbers concerning the time he was to lie in the grave, Matt. xii. 40. so might St. Luke possibly have done with regard to the year of his baptism: which would really seem to be the case when we consider, that the Jews told our Saviour, sometime before his death, Thou art not yet fifty years old, John vii. 57. which indeed was more likely to be said to a person near forty than to one but just turned of thirty. And as to his eating the above Passover on Thursday, which must have been on the Jewish Full Moon day, they think it may be easily accommodated to the 37th year of his age; since, as the Jews always began their day in the evening, their Friday of course began on the evening of our Thursday. And it is evident, as above-mentioned, that the only Jewish Friday Full Moon, at the time of their Passover, was in the vulgar 33d, but the real 37th year of Christ’s age; which was the 4746th year of the Julian Period, and the last year of the 202d Olympiad.

Æras or Epochas.

433. As there are certain fixed points in the Heavens from which Astronomers begin their computations, so there are certain points of time from which historians begin to reckon; and these points or roots of time are called Æras or Epochas. The most remarkable Æras are those of the Creation, the Greek Olympiads, the building of Rome, the Æra of Nabonassar, the death of Alexander, the birth of Christ, the Arabian Hegira, and the Persian Jesdegird: All which, together with several others of less note, have their beginnings in the following Table fixed to the years of the Julian Period, to the age of the world at those times, and to the years before and after the birth of Christ.

  Julian Period. Y. of the World. Before Christ.
1. The creation of the world, according to Strauchius 764 1 3949
2. The Deluge, or Noah’s Flood 2420 1656 2293
3. The Assyrian Monarchy by Nimrod 2537 1773 2176
4. The Birth of Abraham 2712 1948 2001
5. The beginning of the Kingdom of the Argives 2856 2092 1857
6. The begin. of the Kingdom of Athens by Cecrops 3157 2393 1556
7. The departure of the Israelites from Egypt 3216 2452 1497
8. Their entrance into Canaan, or the Jubilee 3256 2492 1457
9. The destruction of Troy 3529 2865 1184
10. The beginning of King David’s reign 3653 2889 1060
11. The foundation of Solomon’s Temple 3696 2932 1017
12. The Argonautic expedition 3776 3012 937
13. Arbaces, the first King of the Medes 3838 3074 175
14. Mandaucus the second 3865 3101 848
15. Sosarmus the third 3915 3151 798
16. Artica the fourth 3945 3181 768
17. Cardica the fifth 3996 3232 718
18. Phraortes the sixth 4057 3293 656
19. Cyaxares the seventh 4080 3316 633
20. The beginning of the Olympiads 3938 3174 775
21. The Catonian Epocha of the building of Rome 3961 3197 752
22. The Æra of Nabonassar 3967 3202 746
23. The destruction of Samaria 3990 3226 723
24. The Babylonish captivity 4133 3349 600
25. The destruction of Solomon’s Temple 4124 3360 589
26. The Persian monarchy founded by Cyrus 4154 3390 559
27. The battle of Marathon 4224 3460 489
28. The begin. of the reign of Art. Longimanus 4249 3485 464
29. The beginning of Daniel’s 70 weeks 4256 3492 457
30. The beginning of the Peloponnesian war 4282 3518 431
31. The death of Alexander 4390 3626 323
32. The restoration of the Jews 4548 3784 129
33. The corr. of the Calendar by Julius Cæsar 4669 3905 44
34. The beginning of the reign of Herod 4673 3909 40
35. The Spanish Æra 4675 3911 38
36. The battle at Actium 4683 3919 30
37. The taking of Alexandria 4683 3919 30
38. The Epoch of the title of Augustus 4686 3922 27
39. The true Æra of Christ’s birth 4709 3945 4
40. The death of Herod 4710 3946 3
41. The Diony. or vulg. Æra of the birth of Christ 4713 3949 AD0
42. The true year of Christ’s death 4746 3982 33
43. The destruction of Jerusalem 4783 4019 70
44. The Dioclesian persecution 5015 4251 302
45. The Epoch of Constantine the Great 5019 4255 306
46. The Council of Nice 5038 4274 325
47. The Epocha of the Hegira 5335 4571 622
48. The Epoch of Yesdejerd 5344 4580 631
49. The Jellalæan Epocha 5791 5027 1078
50. The Epocha of the reformation 6230 5466 1517

Tab. I. Shewing the Golden Number (which is the same both in the Old and New Style) from the Christian Æra to A.D. 4000.

Years less than an Hundred.
Hundreds of Years.   0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
  19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37
  38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56
  57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75
  76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94
  95 96 97 98 99                            
                                       
0 1900 3800   1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
100 2000 3900   6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5
200 2100 4000   11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 10
300 2200 &c.   16 17 18 19 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
400 2300 --   2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1
500 2400 --   7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6
600 2500 --   12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 10 11
700 2600 --   17 18 19 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
800 2700 --   3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2
900 2800 --   8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7
1000 2900 --   13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 10 11 12
1100 3000 --   18 19 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
1200 3100 --   4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3
1300 3200 --   9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8
1400 3300 --   14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 10 11 12 13
1500 3400 --   19 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
1600 3500 --   5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4
1700 3600 --   10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9
1800 3700 --   15 16 17 18 19 1 2 3 4 5 6 7 8 9 10 11 12 13 14

Tab. II. Shewing the Number of Direction, for finding Easter Sunday by the Golden Number and Dominical Letter.